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2024

  1. I. Bossuyt, S. Vandewalle, and G. Samaey, “Micro-macro Parareal, from ODEs to SDEs and back again,” arXiv:2401.01798v1 [math.NA], 2024 [Online]. Available at: http://arxiv.org/abs/2401.01798v1
    @unpublished{BossuytEtAl2024,
      author = {Bossuyt, Ignace and Vandewalle, Stefan and Samaey, Giovanni},
      howpublished = {arXiv:2401.01798v1 [math.NA]},
      title = {Micro-macro Parareal, from ODEs to SDEs and back again},
      url = {http://arxiv.org/abs/2401.01798v1},
      year = {2024}
    }
    
  2. N. Janssens and J. Meyers, “Parallel-in-time multiple shooting for optimal control problems governed by the Navier–Stokes equations,” Computer Physics Communications, vol. 296, p. 109019, Mar. 2024 [Online]. Available at: http://dx.doi.org/10.1016/j.cpc.2023.109019
    @article{JanssensEtAl2024,
      author = {Janssens, N. and Meyers, J.},
      doi = {10.1016/j.cpc.2023.109019},
      issn = {0010-4655},
      journal = {Computer Physics Communications},
      month = mar,
      pages = {109019},
      publisher = {Elsevier BV},
      title = {Parallel-in-time multiple shooting for optimal control problems governed by the Navier–Stokes equations},
      url = {http://dx.doi.org/10.1016/j.cpc.2023.109019},
      volume = {296},
      year = {2024}
    }
    
  3. F. Li and Y. Xu, “A Diagonalization-Based Parallel-in-Time Algorithm for Crank-Nicolson’s Discretization of the Viscoelastic Equation,” East Asian Journal on Applied Mathematics, vol. 14, no. 1, pp. 47–78, Jun. 2024 [Online]. Available at: http://dx.doi.org/10.4208/eajam.2022-304.070323
    @article{LiEtAl2024,
      author = {Li, Fu and Xu, Yingxiang},
      doi = {10.4208/eajam.2022-304.070323},
      issn = {2079-7370},
      journal = {East Asian Journal on Applied Mathematics},
      month = jun,
      number = {1},
      pages = {47–78},
      publisher = {Global Science Press},
      title = {A Diagonalization-Based Parallel-in-Time Algorithm for Crank-Nicolson’s Discretization of the Viscoelastic Equation},
      url = {http://dx.doi.org/10.4208/eajam.2022-304.070323},
      volume = {14},
      year = {2024}
    }
    
  4. Z. Miao, B. W. null, and Y. Jiang, “Energy-Preserving Parareal-RKN Algorithms for Hamiltonian Systems,” Numerical Mathematics: Theory, Methods and Applications, vol. 17, no. 1, pp. 121–144, Jun. 2024 [Online]. Available at: http://dx.doi.org/10.4208/nmtma.oa-2023-0081
    @article{MiaoEtAl2024,
      author = {Miao, Zhen and null, Bin Wang and Jiang, Yaolin},
      doi = {10.4208/nmtma.oa-2023-0081},
      issn = {2079-7338},
      journal = {Numerical Mathematics: Theory, Methods and Applications},
      month = jun,
      number = {1},
      pages = {121–144},
      publisher = {Global Science Press},
      title = {Energy-Preserving Parareal-RKN Algorithms for Hamiltonian Systems},
      url = {http://dx.doi.org/10.4208/nmtma.oa-2023-0081},
      volume = {17},
      year = {2024}
    }
    
  5. Z. Miao, R.-H. Zhang, W.-W. Han, and Y.-L. Jiang, “Analysis of a fractional-step parareal algorithm for the incompressible Navier-Stokes equations,” Computers & Mathematics with Applications, vol. 161, pp. 78–89, May 2024 [Online]. Available at: http://dx.doi.org/10.1016/j.camwa.2024.02.035
    @article{MiaoEtAl2024b,
      author = {Miao, Zhen and Zhang, Ren-Hao and Han, Wei-Wei and Jiang, Yao-Lin},
      doi = {10.1016/j.camwa.2024.02.035},
      issn = {0898-1221},
      journal = {Computers & Mathematics with Applications},
      month = may,
      pages = {78–89},
      publisher = {Elsevier BV},
      title = {Analysis of a fractional-step parareal algorithm for the incompressible Navier-Stokes equations},
      url = {http://dx.doi.org/10.1016/j.camwa.2024.02.035},
      volume = {161},
      year = {2024}
    }
    
  6. B. Park, “Stochastic Power System Dynamic Simulation Using Parallel-in-Time Algorithm,” IEEE Access, vol. 12, pp. 28500–28510, 2024 [Online]. Available at: http://dx.doi.org/10.1109/ACCESS.2024.3367358
    @article{Park2024,
      author = {Park, Byungkwon},
      doi = {10.1109/access.2024.3367358},
      issn = {2169-3536},
      journal = {IEEE Access},
      pages = {28500–28510},
      publisher = {Institute of Electrical and Electronics Engineers (IEEE)},
      title = {Stochastic Power System Dynamic Simulation Using Parallel-in-Time Algorithm},
      url = {http://dx.doi.org/10.1109/ACCESS.2024.3367358},
      volume = {12},
      year = {2024}
    }
    
  7. H. D. Sterck, R. D. Falgout, O. A. Krzysik, and J. B. Schroder, “Parallel-in-time solution of scalar nonlinear conservation laws,” arXiv:2401.04936v1 [math.NA], 2024 [Online]. Available at: http://arxiv.org/abs/2401.04936v1
    @unpublished{SterckEtAl2024,
      author = {Sterck, H. De and Falgout, R. D. and Krzysik, O. A. and Schroder, J. B.},
      howpublished = {arXiv:2401.04936v1 [math.NA]},
      title = {Parallel-in-time solution of scalar nonlinear conservation laws},
      url = {http://arxiv.org/abs/2401.04936v1},
      year = {2024}
    }
    
  8. Y.-L. Zhao, X.-M. Gu, and C. W. Oosterlee, “A parallel preconditioner for the all-at-once linear system from evolutionary PDEs with Crank-Nicolson discretization,” arXiv:2401.16113v1 [math.NA], 2024 [Online]. Available at: http://arxiv.org/abs/2401.16113v1
    @unpublished{ZhaoEtAl2024,
      author = {Zhao, Yong-Liang and Gu, Xian-Ming and Oosterlee, Cornelis W.},
      howpublished = {arXiv:2401.16113v1 [math.NA]},
      title = {A parallel preconditioner for the all-at-once linear system from evolutionary PDEs with Crank-Nicolson discretization},
      url = {http://arxiv.org/abs/2401.16113v1},
      year = {2024}
    }
    
  9. M. Zhen, X. Liu, X. Ding, and J. Cai, “High-order space–time parallel computing of the Navier–Stokes equations,” Computer Methods in Applied Mechanics and Engineering, vol. 423, p. 116880, Apr. 2024 [Online]. Available at: http://dx.doi.org/10.1016/j.cma.2024.116880
    @article{ZhenEtAl2024,
      author = {Zhen, Meiyuan and Liu, Xuan and Ding, Xuejun and Cai, Jinsheng},
      doi = {10.1016/j.cma.2024.116880},
      issn = {0045-7825},
      journal = {Computer Methods in Applied Mechanics and Engineering},
      month = apr,
      pages = {116880},
      publisher = {Elsevier BV},
      title = {High-order space–time parallel computing of the Navier–Stokes equations},
      url = {http://dx.doi.org/10.1016/j.cma.2024.116880},
      volume = {423},
      year = {2024}
    }
    
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2023

  1. A. Barman and A. Sharma, “A Space-Time framework for compressible flow simulations using Finite Volume Method,” in AIAA AVIATION 2023 Forum, 2023 [Online]. Available at: https://doi.org/10.2514/6.2023-3431
    @inproceedings{BarmanEtAl2023,
      author = {Barman, Abhishek and Sharma, Anupam},
      booktitle = {{AIAA} {AVIATION} 2023 Forum},
      doi = {10.2514/6.2023-3431},
      month = jun,
      publisher = {American Institute of Aeronautics and Astronautics},
      title = {A Space-Time framework for compressible flow simulations using Finite Volume Method},
      url = {https://doi.org/10.2514/6.2023-3431},
      year = {2023}
    }
    
  2. M. Bolten, S. Friedhoff, and J. Hahne, “Task graph-based performance analysis of parallel-in-time methods,” Parallel Computing, vol. 118, p. 103050, Nov. 2023 [Online]. Available at: https://doi.org/10.1016/j.parco.2023.103050
    @article{BoltenEtAl2023,
      author = {Bolten, Matthias and Friedhoff, Stephanie and Hahne, Jens},
      doi = {10.1016/j.parco.2023.103050},
      journal = {Parallel Computing},
      month = nov,
      pages = {103050},
      publisher = {Elsevier {BV}},
      title = {Task graph-based performance analysis of parallel-in-time methods},
      url = {https://doi.org/10.1016/j.parco.2023.103050},
      volume = {118},
      year = {2023}
    }
    
  3. N. Bosch, A. Corenflos, F. Yaghoobi, F. Tronarp, P. Hennig, and S. Särkkä, “Parallel-in-Time Probabilistic Numerical ODE Solvers,” arXiv:2310.01145v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2310.01145v1
    @unpublished{BoschEtAl2023,
      author = {Bosch, Nathanael and Corenflos, Adrien and Yaghoobi, Fatemeh and Tronarp, Filip and Hennig, Philipp and Särkkä, Simo},
      howpublished = {arXiv:2310.01145v1 [math.NA]},
      title = {Parallel-in-Time Probabilistic Numerical ODE Solvers},
      url = {http://arxiv.org/abs/2310.01145v1},
      year = {2023}
    }
    
  4. I. Bossuyt, S. Vandewalle, and G. Samaey, “Monte-Carlo/Moments micro-macro Parareal method for unimodal and bimodal scalar McKean-Vlasov SDEs,” arXiv:2310.11365v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2310.11365v1
    @unpublished{BossuytEtAl2023,
      author = {Bossuyt, Ignace and Vandewalle, Stefan and Samaey, Giovanni},
      howpublished = {arXiv:2310.11365v1 [math.NA]},
      title = {Monte-Carlo/Moments micro-macro Parareal method for unimodal and bimodal scalar McKean-Vlasov SDEs},
      url = {http://arxiv.org/abs/2310.11365v1},
      year = {2023}
    }
    
  5. A. Bouillon, G. Samaey, and K. Meerbergen, “On generalized preconditioners for time-parallel parabolic optimal control,” arXiv:2302.06406v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2302.06406v1
    @unpublished{BouillonEtAl2023,
      author = {Bouillon, Arne and Samaey, Giovanni and Meerbergen, Karl},
      howpublished = {arXiv:2302.06406v1 [math.NA]},
      title = {On generalized preconditioners for time-parallel parabolic optimal control},
      url = {http://arxiv.org/abs/2302.06406v1},
      year = {2023}
    }
    
  6. A. Bouillon, G. Samaey, and K. Meerbergen, “Diagonalization-based preconditioners and generalized convergence bounds for ParaOpt,” arXiv:2304.09235v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2304.09235v1
    @unpublished{BouillonEtAl2023b,
      author = {Bouillon, Arne and Samaey, Giovanni and Meerbergen, Karl},
      howpublished = {arXiv:2304.09235v1 [math.NA]},
      title = {Diagonalization-based preconditioners and generalized convergence bounds for ParaOpt},
      url = {http://arxiv.org/abs/2304.09235v1},
      year = {2023}
    }
    
  7. L. D’Amore and R. Cacciapuoti, “Space-Time Decomposition of Kalman Filter,” Numerical Mathematics: Theory, Methods and Applications, vol. 0, no. 0, pp. 0–0, Sep. 2023 [Online]. Available at: https://doi.org/10.4208/nmtma.oa-2022-0203
    @article{Cacciapuoti2023,
      author = {D{\textquotesingle}Amore, Luisa and Cacciapuoti, Rosalba},
      doi = {10.4208/nmtma.oa-2022-0203},
      journal = {Numerical Mathematics: Theory, Methods and Applications},
      month = sep,
      number = {0},
      pages = {0--0},
      publisher = {Global Science Press},
      title = {Space-Time Decomposition of Kalman Filter},
      url = {https://doi.org/10.4208/nmtma.oa-2022-0203},
      volume = {0},
      year = {2023}
    }
    
  8. R. Cacciapuoti and L. D’Amore, “Scalability analysis of a two level domain decomposition approach in space and time solving data assimilation models,” Concurrency and Computation: Practice and Experience, Nov. 2023 [Online]. Available at: https://doi.org/10.1002/cpe.7937
    @article{CacciapuotiEtAl2023,
      author = {Cacciapuoti, Rosalba and D{\textquotesingle}Amore, Luisa},
      doi = {10.1002/cpe.7937},
      journal = {Concurrency and Computation: Practice and Experience},
      month = nov,
      publisher = {Wiley},
      title = {Scalability analysis of a two level domain decomposition approach in space and time solving data assimilation models},
      url = {https://doi.org/10.1002/cpe.7937},
      year = {2023}
    }
    
  9. J. G. Caldas Steinstraesser, P. da Silva Peixoto, and M. Schreiber, “Parallel-in-time integration of the shallow water equations on the rotating sphere using Parareal and MGRIT,” arXiv:2306.09497v1 [math.NA], 2023 [Online]. Available at: https://arxiv.org/abs/2306.09497v1
    @unpublished{CaldasEtAl2023,
      author = {Caldas Steinstraesser, Jo\~{a}o Guilherme and da Silva Peixoto, Pedro and Schreiber, Martin},
      howpublished = {arXiv:2306.09497v1 [math.NA]},
      title = {Parallel-in-time integration of the shallow water equations on the rotating sphere using Parareal and MGRIT},
      url = {https://arxiv.org/abs/2306.09497v1},
      year = {2023}
    }
    
  10. B. Carrel, M. J. Gander, and B. Vandereycken, “Low-rank Parareal: a low-rank parallel-in-time integrator,” BIT Numerical Mathematics, vol. 63, no. 1, Feb. 2023 [Online]. Available at: https://doi.org/10.1007%2Fs10543-023-00953-3
    @article{CarrelEtAl2023,
      author = {Carrel, Benjamin and Gander, Martin J. and Vandereycken, Bart},
      doi = {10.1007/s10543-023-00953-3},
      journal = {{BIT} Numerical Mathematics},
      month = feb,
      number = {1},
      publisher = {Springer Science and Business Media {LLC}},
      title = {Low-rank Parareal: a low-rank parallel-in-time integrator},
      url = {https://doi.org/10.1007%2Fs10543-023-00953-3},
      volume = {63},
      year = {2023}
    }
    
  11. Z. Chen and Y. Liu, “Efficient and Parallel Solution of High-order Continuous Time Galerkin for Dissipative and Wave Propagation Problems,” arXiv:2303.05008v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2303.05008v1
    @unpublished{ChenEtAl2023,
      author = {Chen, Zhiming and Liu, Yong},
      howpublished = {arXiv:2303.05008v1 [math.NA]},
      title = {Efficient and Parallel Solution of High-order Continuous Time Galerkin for Dissipative and Wave Propagation Problems},
      url = {http://arxiv.org/abs/2303.05008v1},
      year = {2023}
    }
    
  12. T. Cheng, H. Yang, J. Huang, and C. Yang, “Nonlinear parallel-in-time simulations of multiphase flow in porous media,” Journal of Computational Physics, p. 112515, Sep. 2023 [Online]. Available at: https://doi.org/10.1016/j.jcp.2023.112515
    @article{ChengEtAl2023,
      author = {Cheng, Tianpei and Yang, Haijian and Huang, Jizu and Yang, Chao},
      doi = {10.1016/j.jcp.2023.112515},
      journal = {Journal of Computational Physics},
      month = sep,
      pages = {112515},
      publisher = {Elsevier {BV}},
      title = {Nonlinear parallel-in-time simulations of multiphase flow in porous media},
      url = {https://doi.org/10.1016/j.jcp.2023.112515},
      year = {2023}
    }
    
  13. E. C. Cyr, “A 2-Level Domain Decomposition Preconditioner for KKT Systems with Heat-Equation Constraints,” arXiv:2305.04421v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2305.04421v1
    @unpublished{Cyr2023,
      author = {Cyr, Eric C.},
      howpublished = {arXiv:2305.04421v1 [math.NA]},
      title = {A 2-Level Domain Decomposition Preconditioner for KKT Systems with Heat-Equation Constraints},
      url = {http://arxiv.org/abs/2305.04421v1},
      year = {2023}
    }
    
  14. C. Dajana, C. Eduardo, and V. Carmine, “Non-stationary wave relaxation methods for general linear systems of Volterra equations: convergence and parallel GPU implementation,” Numerical Algorithms, Jun. 2023 [Online]. Available at: https://doi.org/10.1007/s11075-023-01567-0
    @article{DajanaEtAl2023,
      author = {Dajana, Conte and Eduardo, Cuesta and Carmine, Valentino},
      doi = {10.1007/s11075-023-01567-0},
      journal = {Numerical Algorithms},
      month = jun,
      publisher = {Springer Science and Business Media {LLC}},
      title = {Non-stationary wave relaxation methods for general linear systems of Volterra equations: convergence and parallel {GPU} implementation},
      url = {https://doi.org/10.1007/s11075-023-01567-0},
      year = {2023}
    }
    
  15. F. Danieli, B. S. Southworth, and J. B. Schroder, “Space-Time Block Preconditioning for Incompressible Resistive Magnetohydrodynamics,” arXiv:2309.00768v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2309.00768v1
    @unpublished{DanieliEtAl2023,
      author = {Danieli, Federico and Southworth, Ben S. and Schroder, Jacob B.},
      howpublished = {arXiv:2309.00768v1 [math.NA]},
      title = {Space-Time Block Preconditioning for Incompressible Resistive Magnetohydrodynamics},
      url = {http://arxiv.org/abs/2309.00768v1},
      year = {2023}
    }
    
  16. Y. A. Erlangga, “Parallel-in-time Multilevel Krylov Methods: A Prototype,” arXiv:2401.00228v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2401.00228v1
    @unpublished{Erlangga2023,
      author = {Erlangga, Yogi A.},
      howpublished = {arXiv:2401.00228v1 [math.NA]},
      title = {Parallel-in-time Multilevel Krylov Methods: A Prototype},
      url = {http://arxiv.org/abs/2401.00228v1},
      year = {2023}
    }
    
  17. L. Fang, S. Vandewalle, and J. Meyers, “An SQP-based multiple shooting algorithm for large-scale PDE-constrained optimal control problems,” Journal of Computational Physics, vol. 477, p. 111927, Mar. 2023 [Online]. Available at: https://doi.org/10.1016/j.jcp.2023.111927
    @article{FangEtAl2023,
      author = {Fang, Liang and Vandewalle, Stefan and Meyers, Johan},
      doi = {10.1016/j.jcp.2023.111927},
      journal = {Journal of Computational Physics},
      month = mar,
      pages = {111927},
      publisher = {Elsevier {BV}},
      title = {An {SQP}-based multiple shooting algorithm for large-scale {PDE}-constrained optimal control problems},
      url = {https://doi.org/10.1016/j.jcp.2023.111927},
      volume = {477},
      year = {2023}
    }
    
  18. R. Fang and R. Tsai, “Stabilization of parareal algorithms for long time computation of a class of highly oscillatory Hamiltonian flows using data,” arXiv:2309.01225v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2309.01225v1
    @unpublished{FangEtAl2023b,
      author = {Fang, Rui and Tsai, Richard},
      howpublished = {arXiv:2309.01225v1 [math.NA]},
      title = {Stabilization of parareal algorithms for long time computation of a class of highly oscillatory Hamiltonian flows using data},
      url = {http://arxiv.org/abs/2309.01225v1},
      year = {2023}
    }
    
  19. S. Frei and A. Heinlein, “Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth,” Journal of Computational Physics, vol. 491, p. 112347, Oct. 2023 [Online]. Available at: https://doi.org/10.1016%2Fj.jcp.2023.112347
    @article{FreiEtAl2023,
      author = {Frei, Stefan and Heinlein, Alexander},
      doi = {10.1016/j.jcp.2023.112347},
      journal = {Journal of Computational Physics},
      month = oct,
      pages = {112347},
      publisher = {Elsevier {BV}},
      title = {Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth},
      url = {https://doi.org/10.1016%2Fj.jcp.2023.112347},
      volume = {491},
      year = {2023}
    }
    
  20. M. J. Gander and D. Palitta, “A new ParaDiag time-parallel time integration method,” arXiv:2304.12597v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2304.12597v1
    @unpublished{GanderEtAl2023,
      author = {Gander, Martin J. and Palitta, Davide},
      howpublished = {arXiv:2304.12597v1 [math.NA]},
      title = {A new ParaDiag time-parallel time integration method},
      url = {http://arxiv.org/abs/2304.12597v1},
      year = {2023}
    }
    
  21. M. J. Gander, T. Lunet, D. Ruprecht, and R. Speck, “A Unified Analysis Framework for Iterative Parallel-in-Time Algorithms,” SIAM Journal on Scientific Computing, vol. 45, no. 5, pp. A2275–A2303, 2023 [Online]. Available at: https://doi.org/10.1137/22M1487163
    @article{GanderEtAl2023b,
      author = {Gander, Martin J. and Lunet, Thibaut and Ruprecht, Daniel and Speck, Robert},
      doi = {10.1137/22M1487163},
      journal = {SIAM Journal on Scientific Computing},
      number = {5},
      pages = {A2275-A2303},
      title = {A Unified Analysis Framework for Iterative Parallel-in-Time Algorithms},
      url = {https://doi.org/10.1137/22M1487163},
      volume = {45},
      year = {2023}
    }
    
  22. P. Gangl, M. Gobrial, and O. Steinbach, “A space-time finite element method for the eddy current approximation of rotating electric machines,” arXiv:2307.00278v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2307.00278v1
    @unpublished{GanglEtAl2023,
      author = {Gangl, Peter and Gobrial, Mario and Steinbach, Olaf},
      howpublished = {arXiv:2307.00278v1 [math.NA]},
      title = {A space-time finite element method for the eddy current approximation of rotating electric machines},
      url = {http://arxiv.org/abs/2307.00278v1},
      year = {2023}
    }
    
  23. G. Garai and B. C. Mandal, “Linear and Nonlinear Parareal Methods for the Cahn-Hilliard Equation,” arXiv:2304.14074v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2304.14074v1
    @unpublished{GaraiEtAl2023b,
      author = {Garai, Gobinda and Mandal, Bankim C.},
      howpublished = {arXiv:2304.14074v1 [math.NA]},
      title = {Linear and Nonlinear Parareal Methods for the Cahn-Hilliard Equation},
      url = {http://arxiv.org/abs/2304.14074v1},
      year = {2023}
    }
    
  24. G. Garai and B. C. Mandal, “Diagonalization based Parallel-in-Time method for a class of fourth order time dependent PDEs,” Mathematics and Computers in Simulation, Aug. 2023 [Online]. Available at: https://doi.org/10.1016%2Fj.matcom.2023.07.028
    @article{GaraiEtAl2023c,
      author = {Garai, Gobinda and Mandal, Bankim C.},
      doi = {10.1016/j.matcom.2023.07.028},
      journal = {Mathematics and Computers in Simulation},
      month = aug,
      publisher = {Elsevier {BV}},
      title = {Diagonalization based Parallel-in-Time method for a class of fourth order time dependent {PDEs}},
      url = {https://doi.org/10.1016%2Fj.matcom.2023.07.028},
      year = {2023}
    }
    
  25. J. Hahne, B. Polenz, I. Kulchytska-Ruchka, S. Friedhoff, S. Ulbrich, and S. Schöps, “Parallel-in-time optimization of induction motors,” Journal of Mathematics in Industry, vol. 13, no. 1, Jun. 2023 [Online]. Available at: https://doi.org/10.1186/s13362-023-00134-5
    @article{HahneEtAl2023,
      author = {Hahne, Jens and Polenz, Björn and Kulchytska-Ruchka, Iryna and Friedhoff, Stephanie and Ulbrich, Stefan and Schöps, Sebastian},
      doi = {10.1186/s13362-023-00134-5},
      journal = {Journal of Mathematics in Industry},
      month = jun,
      number = {1},
      publisher = {Springer Science and Business Media {LLC}},
      title = {Parallel-in-time optimization of induction motors},
      url = {https://doi.org/10.1186/s13362-023-00134-5},
      volume = {13},
      year = {2023}
    }
    
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      publisher = {Osterreichische Akademie der Wissenschaften, Verlag},
      title = {A block Toeplitz preconditioner for all-at-once systems from linear wave equations},
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      author = {Hon, Sean and Dong, Jiamei and Serra-Capizzano, Stefano},
      howpublished = {arXiv:2307.12850v1 [math.NA]},
      title = {A preconditioned MINRES method for optimal control of wave equations and its asymptotic spectral distribution theory},
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    }
    
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      pages = {649--663},
      publisher = {Springer Nature Switzerland},
      title = {Parareal with~a~Physics-Informed Neural Network as~Coarse Propagator},
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      publisher = {Elsevier {BV}},
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      url = {https://doi.org/10.1016%2Fj.apnum.2022.10.006},
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  30. Y. Jiang, J. Liu, and X.-S. Wang, “A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems,” Journal of Computational and Applied Mathematics, vol. 423, p. 114958, May 2023 [Online]. Available at: https://doi.org/10.1016%2Fj.cam.2022.114958
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      month = may,
      pages = {114958},
      publisher = {Elsevier {BV}},
      title = {A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems},
      url = {https://doi.org/10.1016%2Fj.cam.2022.114958},
      volume = {423},
      year = {2023}
    }
    
  31. B. Jin, Q. Lin, and Z. Zhou, “Learning Coarse Propagators in Parareal Algorithm,” arXiv:2311.15320v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2311.15320v1
    @unpublished{JinEtAl2023,
      author = {Jin, Bangti and Lin, Qingle and Zhou, Zhi},
      howpublished = {arXiv:2311.15320v1 [math.NA]},
      title = {Learning Coarse Propagators in Parareal Algorithm},
      url = {http://arxiv.org/abs/2311.15320v1},
      year = {2023}
    }
    
  32. R. Kraft, S. Koraltan, M. Gattringer, F. Bruckner, D. Suess, and C. Abert, “Parallel-in-Time Integration of the Landau-Lifshitz-Gilbert Equation with the Parallel Full Approximation Scheme in Space and Time,” arXiv:2310.11819v1 [physics.comp-ph], 2023 [Online]. Available at: http://arxiv.org/abs/2310.11819v1
    @unpublished{KraftEtAl2023,
      author = {Kraft, Robert and Koraltan, Sabri and Gattringer, Markus and Bruckner, Florian and Suess, Dieter and Abert, Claas},
      howpublished = {arXiv:2310.11819v1 [physics.comp-ph]},
      title = {Parallel-in-Time Integration of the Landau-Lifshitz-Gilbert Equation with the Parallel Full Approximation Scheme in Space and Time},
      url = {http://arxiv.org/abs/2310.11819v1},
      year = {2023}
    }
    
  33. S. Leveque, L. Bergamaschi, Á. Martínez, and J. W. Pearson, “Fast Iterative Solver for the All-at-Once Runge–Kutta Discretization,” arXiv:2303.02090v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2303.02090v1
    @unpublished{LevequeEtAl2023,
      author = {Leveque, Santolo and Bergamaschi, Luca and Martínez, Ángeles and Pearson, John W.},
      howpublished = {arXiv:2303.02090v1 [math.NA]},
      title = {Fast Iterative Solver for the All-at-Once Runge--Kutta Discretization},
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    }
    
  34. G. Li, “Wavelet-based Edge Multiscale Parareal Algorithm for subdiffusion equations with heterogeneous coefficients in a large time domain,” arXiv:2307.06529v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2307.06529v1
    @unpublished{Li2023,
      author = {Li, Guanglian},
      howpublished = {arXiv:2307.06529v1 [math.NA]},
      title = {Wavelet-based Edge Multiscale Parareal Algorithm for subdiffusion equations with heterogeneous coefficients in a large time domain},
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    }
    
  35. J. Li and Y. Jiang, “Analysis of a New Accelerated Waveform Relaxation Method Based on the Time-Parallel Algorithm,” Journal of Scientific Computing, vol. 96, no. 3, Jul. 2023 [Online]. Available at: https://doi.org/10.1007/s10915-023-02285-4
    @article{LiEtAl2023,
      author = {Li, Jun and Jiang, Yaolin},
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      journal = {Journal of Scientific Computing},
      month = jul,
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      publisher = {Springer Science and Business Media {LLC}},
      title = {Analysis of a New Accelerated Waveform Relaxation Method Based on the Time-Parallel Algorithm},
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      volume = {96},
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    }
    
  36. X.-lei Lin and S. Hon, “A block α-circulant based preconditioned MINRES method for wave equations,” arXiv:2306.03574v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2306.03574v1
    @unpublished{LinEtAl2023,
      author = {Lin, Xue-lei and Hon, Sean},
      howpublished = {arXiv:2306.03574v1 [math.NA]},
      title = {A block $α$-circulant based preconditioned MINRES method for wave equations},
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      author = {Miao, Zhen and Jiang, Yao-Lin},
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      publisher = {Institute of Electrical and Electronics Engineers (IEEE)},
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    }
    
  38. P. Munch, I. Dravins, M. Kronbichler, and M. Neytcheva, “Stage-Parallel Fully Implicit Runge–Kutta Implementations with Optimal Multilevel Preconditioners at the Scaling Limit,” SIAM Journal on Scientific Computing, pp. S71–S96, Jul. 2023 [Online]. Available at: https://doi.org/10.1137%2F22m1503270
    @article{MunchEtAl2023,
      author = {Munch, Peter and Dravins, Ivo and Kronbichler, Martin and Neytcheva, Maya},
      doi = {10.1137/22m1503270},
      journal = {{SIAM} Journal on Scientific Computing},
      month = jul,
      pages = {S71--S96},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {Stage-Parallel Fully Implicit Runge{\textendash}Kutta Implementations with Optimal Multilevel Preconditioners at the Scaling Limit},
      url = {https://doi.org/10.1137%2F22m1503270},
      year = {2023}
    }
    
  39. V.-T. Nguyen and L. Grigori, “Interpretation of parareal as a two-level additive Schwarz in time preconditioner and its acceleration with GMRES,” Numerical Algorithms, Mar. 2023 [Online]. Available at: https://doi.org/10.1007/s11075-022-01492-8
    @article{NguyenEtAl2023,
      author = {Nguyen, Van-Thanh and Grigori, Laura},
      doi = {10.1007/s11075-022-01492-8},
      journal = {Numerical Algorithms},
      month = mar,
      publisher = {Springer Science and Business Media {LLC}},
      title = {Interpretation of parareal as a two-level additive Schwarz in time preconditioner and its acceleration with {GMRES}},
      url = {https://doi.org/10.1007/s11075-022-01492-8},
      year = {2023}
    }
    
  40. H. Nguyen and R. Tsai, “Numerical wave propagation aided by deep learning,” Journal of Computational Physics, vol. 475, p. 111828, Feb. 2023 [Online]. Available at: https://doi.org/10.1016%2Fj.jcp.2022.111828
    @article{NguyenEtAl2023b,
      author = {Nguyen, Hieu and Tsai, Richard},
      doi = {10.1016/j.jcp.2022.111828},
      journal = {Journal of Computational Physics},
      month = feb,
      pages = {111828},
      publisher = {Elsevier {BV}},
      title = {Numerical wave propagation aided by deep learning},
      url = {https://doi.org/10.1016%2Fj.jcp.2022.111828},
      volume = {475},
      year = {2023}
    }
    
  41. B. Philippi and T. Slawig, “A Micro-Macro Parareal Implementation for the Ocean-Circulation Model FESOM2,” arXiv:2306.17269v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2306.17269v1
    @unpublished{PhilippiEtAl2023,
      author = {Philippi, B. and Slawig, T.},
      howpublished = {arXiv:2306.17269v1 [math.NA]},
      title = {A Micro-Macro Parareal Implementation for the Ocean-Circulation Model FESOM2},
      url = {http://arxiv.org/abs/2306.17269v1},
      year = {2023}
    }
    
  42. B. Philippi, M. S. Miraz, and T. Slawig, “A Micor-Macro parallel-in-time Implementation for the 2D Navier-Stokes Equations,” arXiv:2309.03037v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2309.03037v1
    @unpublished{PhilippiEtAl2023b,
      author = {Philippi, Benedict and Miraz, Mahfuz Sarker and Slawig, Thomas},
      howpublished = {arXiv:2309.03037v1 [math.NA]},
      title = {A Micor-Macro parallel-in-time Implementation for the 2D Navier-Stokes Equations},
      url = {http://arxiv.org/abs/2309.03037v1},
      year = {2023}
    }
    
  43. J. Sarpe, A. Klaedtke, and H. D. Gersem, “A Parallel-In-Time Adjoint Sensitivity Analysis for a B6 Bridge-Motor Supply Circuit,” arXiv:2307.00802v1 [math.NA], 2023 [Online]. Available at: http://arxiv.org/abs/2307.00802v1
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      howpublished = {arXiv:2307.00802v1 [math.NA]},
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    }
    
  44. J. Schleuß, K. Smetana, and L. ter Maat, “Randomized Quasi-Optimal Local Approximation Spaces in Time,” SIAM Journal on Scientific Computing, vol. 45, no. 3, pp. A1066–A1096, May 2023 [Online]. Available at: https://doi.org/10.1137%2F22m1481002
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  45. X. Shan and M. B. van Gijzen, “Parareal Method for Anisotropic Diffusion Denoising,” in Parallel Processing and Applied Mathematics, Springer International Publishing, 2023, pp. 313–322 [Online]. Available at: https://doi.org/10.1007/978-3-031-30445-3_26
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      year = {2023}
    }
    
  47. Y. Takahashi, K. Fujiwara, and T. Iwashita, “Parallel-in-Space-and-Time Finite-Element Method for Time-Periodic Magnetic Field Problems with Hysteresis,” IEEE Transactions on Magnetics, pp. 1–1, 2023 [Online]. Available at: https://doi.org/10.1109/tmag.2023.3307498
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      pages = {1--1},
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      title = {Parallel-in-Space-and-Time Finite-Element Method for Time-Periodic Magnetic Field Problems with Hysteresis},
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    }
    
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      author = {Trotti, Ken},
      howpublished = {arXiv:2303.01163v1 [math.NA]},
      title = {A domain splitting strategy for solving PDEs},
      url = {http://arxiv.org/abs/2303.01163v1},
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    }
    
  49. D. A. Vargas, R. D. Falgout, S. Günther, and J. B. Schroder, “Multigrid Reduction in Time for Chaotic Dynamical Systems,” SIAM Journal on Scientific Computing, vol. 45, no. 4, pp. A2019–A2042, Aug. 2023 [Online]. Available at: https://doi.org/10.1137%2F22m1518335
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      author = {Vargas, D. A. and Falgout, R. D. and Günther, S. and Schroder, J. B.},
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      month = aug,
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    }
    
  50. Y. Wang, “Parallel Numerical Picard Iteration Methods,” Journal of Scientific Computing, vol. 95, no. 1, Mar. 2023 [Online]. Available at: https://doi.org/10.1007/s10915-023-02156-y
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      month = mar,
      number = {1},
      publisher = {Springer Science and Business Media {LLC}},
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    }
    
  51. M. Wang and S. Zhang, “A Preconditioner for Galerkin–Legendre Spectral All-at-Once System from Time-Space Fractional Diffusion Equation,” Symmetry, vol. 15, no. 12, p. 2144, Dec. 2023 [Online]. Available at: http://dx.doi.org/10.3390/sym15122144
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    }
    
  52. S.-L. Wu, Z. Wang, and T. Zhou, “PinT Preconditioner for Forward-Backward Evolutionary Equations,” SIAM Journal on Matrix Analysis and Applications, vol. 44, no. 4, pp. 1771–1798, Nov. 2023 [Online]. Available at: http://dx.doi.org/10.1137/22M1516476
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      month = nov,
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      publisher = {Society for Industrial & Applied Mathematics (SIAM)},
      title = {PinT Preconditioner for Forward-Backward Evolutionary Equations},
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    }
    
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    }
    
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    }
    
top

2022

  1. W. C. Agboh, D. Ruprecht, and M. R. Dogar, “Combining Coarse and Fine Physics for Manipulation using Parallel-in-Time Integration,” in Robotics Research, 2022, pp. 725–740 [Online]. Available at: https://doi.org/10.1007/978-3-030-95459-8_44
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      booktitle = {Robotics Research},
      doi = {10.1007/978-3-030-95459-8_44},
      editor = {Asfour, Tamim and Yoshida, Eiichi and Park, Jaeheung and Christensen, Henrik and Khatib, Oussama},
      pages = {725 -- 740},
      publisher = {Springer International Publishing},
      title = {Combining Coarse and Fine Physics for Manipulation using Parallel-in-Time Integration},
      url = {https://doi.org/10.1007/978-3-030-95459-8_44},
      year = {2022}
    }
    
  2. A. Arrarás, F. J. Gaspar, L. Portero, and C. Rodrigo, “Space-Time Parallel Methods for Evolutionary Reaction-Diffusion Problems,” in Domain Decomposition Methods in Science and Engineering XXVI, Springer International Publishing, 2022, pp. 643–651 [Online]. Available at: https://doi.org/10.1007/978-3-030-95025-5_70
    @incollection{ArrarasEtAl2022,
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      booktitle = {Domain Decomposition Methods in Science and Engineering {XXVI}},
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      author = {Sterck, H. De and Friedhoff, S. and Krzysik, O. A. and MacLachlan, Scott P.},
      howpublished = {arXiv:2208.01526v1 [math.NA]},
      title = {Multigrid reduction-in-time convergence for advection problems: A Fourier analysis perspective},
      url = {http://arxiv.org/abs/2208.01526v1},
      year = {2022}
    }
    
  36. H. D. Sterck, R. D. Falgout, O. A. Krzysik, and J. B. Schroder, “Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection,” arXiv:2209.06916v1 [math.NA], 2022 [Online]. Available at: http://arxiv.org/abs/2209.06916v1
    @unpublished{SterckEtAl2022c,
      author = {Sterck, H. De and Falgout, R. D. and Krzysik, O. A. and Schroder, J. B.},
      howpublished = {arXiv:2209.06916v1 [math.NA]},
      title = {Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection},
      url = {http://arxiv.org/abs/2209.06916v1},
      year = {2022}
    }
    
  37. J. Strake, D. Döhring, and A. Benigni, “MGRIT-Based Multi-Level Parallel-in-Time Electromagnetic Transient Simulation,” Energies, vol. 15, no. 21, p. 7874, Oct. 2022 [Online]. Available at: https://doi.org/10.3390/en15217874
    @article{StrakeEtAl2022,
      author = {Strake, Julius and Döhring, Daniel and Benigni, Andrea},
      doi = {10.3390/en15217874},
      journal = {Energies},
      month = oct,
      number = {21},
      pages = {7874},
      publisher = {{MDPI} {AG}},
      title = {{MGRIT}-Based Multi-Level Parallel-in-Time Electromagnetic Transient Simulation},
      url = {https://doi.org/10.3390/en15217874},
      volume = {15},
      year = {2022}
    }
    
  38. M. Sugiyama, J. B. Schroder, B. S. Southworth, and S. Friedhoff, “Weighted relaxation for multigrid reduction in time,” Numerical Linear Algebra with Applications, Sep. 2022 [Online]. Available at: https://doi.org/10.1002%2Fnla.2465
    @article{SugiyamaEtAl2022,
      author = {Sugiyama, Masumi and Schroder, Jacob B. and Southworth, Ben S. and Friedhoff, Stephanie},
      doi = {10.1002/nla.2465},
      journal = {Numerical Linear Algebra with Applications},
      month = sep,
      publisher = {Wiley},
      title = {Weighted relaxation for multigrid reduction in time},
      url = {https://doi.org/10.1002%2Fnla.2465},
      year = {2022}
    }
    
  39. M. A. Sultanov, V. E. Misilov, and Y. Nurlanuly, “Efficient Parareal algorithm for solving time-fractional diffusion equation,” Dal nevostochnyi Matematicheskii Zhurnal, vol. 22, no. 2, pp. 245–251, 2022 [Online]. Available at: https://doi.org/10.47910/femj202233
    @article{SultanovEtAl2022,
      author = {Sultanov, M. A. and Misilov, V. E. and Nurlanuly, Y.},
      doi = {10.47910/femj202233},
      journal = {Dal nevostochnyi Matematicheskii Zhurnal},
      number = {2},
      pages = {245--251},
      publisher = {Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences},
      title = {Efficient Parareal algorithm for solving time-fractional diffusion equation},
      url = {https://doi.org/10.47910/femj202233},
      volume = {22},
      year = {2022}
    }
    
  40. Y. Takahashi, K. Fujiwara, and T. Iwashita, “Parallel-in-space-and-time finite-element analysis of electric machines using time step overlapping in a massively parallel computing environment,” COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Jul. 2022 [Online]. Available at: https://doi.org/10.1108/compel-04-2022-0161
    @article{TakahashiEtAl2022,
      author = {Takahashi, Yasuhito and Fujiwara, Koji and Iwashita, Takeshi},
      doi = {10.1108/compel-04-2022-0161},
      journal = {{COMPEL} - The international journal for computation and mathematics in electrical and electronic engineering},
      month = jul,
      publisher = {Emerald},
      title = {Parallel-in-space-and-time finite-element analysis of electric machines using time step overlapping in a massively parallel computing environment},
      url = {https://doi.org/10.1108/compel-04-2022-0161},
      year = {2022}
    }
    
  41. R. Tielen, M. Möller, and C. Vuik, “Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis,” SN Applied Sciences, vol. 4, no. 6, May 2022 [Online]. Available at: https://doi.org/10.1007%2Fs42452-022-05043-7
    @article{TielenEtAl2022,
      author = {Tielen, Roel and Möller, Matthias and Vuik, Cornelis},
      doi = {10.1007/s42452-022-05043-7},
      journal = {{SN} Applied Sciences},
      month = may,
      number = {6},
      publisher = {Springer Science and Business Media {LLC}},
      title = {Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis},
      url = {https://doi.org/10.1007%2Fs42452-022-05043-7},
      volume = {4},
      year = {2022}
    }
    
  42. Utkarsh, C. Elrod, Y. Ma, K. Althaus, and C. Rackauckas, “Parallelizing Explicit and Implicit Extrapolation Methods for Ordinary Differential Equations,” in 2022 IEEE High Performance Extreme Computing Conference (HPEC), 2022 [Online]. Available at: https://doi.org/10.1109%2Fhpec55821.2022.9926357
    @inproceedings{UtkarshEtAl2022b,
      author = {Utkarsh and Elrod, Chris and Ma, Yingbo and Althaus, Konstantin and Rackauckas, Christopher},
      booktitle = {2022 {IEEE} High Performance Extreme Computing Conference ({HPEC})},
      doi = {10.1109/hpec55821.2022.9926357},
      month = sep,
      publisher = {{IEEE}},
      title = {Parallelizing Explicit and Implicit Extrapolation Methods for Ordinary Differential Equations},
      url = {https://doi.org/10.1109%2Fhpec55821.2022.9926357},
      year = {2022}
    }
    
  43. C.-Y. Wang, Y.-L. Jiang, and Z. Miao, “Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization,” Applied Numerical Mathematics, Feb. 2022 [Online]. Available at: https://doi.org/10.1016/j.apnum.2022.02.016
    @article{WangEtAl2022,
      author = {Wang, Chen-Ye and Jiang, Yao-Lin and Miao, Zhen},
      doi = {10.1016/j.apnum.2022.02.016},
      journal = {Applied Numerical Mathematics},
      month = feb,
      publisher = {Elsevier {BV}},
      title = {Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization},
      url = {https://doi.org/10.1016/j.apnum.2022.02.016},
      year = {2022}
    }
    
  44. R. Watschinger, M. Merta, G. Of, and J. Zapletal, “A Parallel Fast Multipole Method for a Space-Time Boundary Element Method for the Heat Equation,” SIAM Journal on Scientific Computing, vol. 44, no. 4, pp. C320–C345, Aug. 2022 [Online]. Available at: https://doi.org/10.1137%2F21m1430157
    @article{WatschingerEtAl2022,
      author = {Watschinger, Raphael and Merta, Michal and Of, Günther and Zapletal, Jan},
      doi = {10.1137/21m1430157},
      journal = {{SIAM} Journal on Scientific Computing},
      month = aug,
      number = {4},
      pages = {C320--C345},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {A Parallel Fast Multipole Method for a Space-Time Boundary Element Method for the Heat Equation},
      url = {https://doi.org/10.1137%2F21m1430157},
      volume = {44},
      year = {2022}
    }
    
  45. J. Yang, Z. Yuan, and Z. Zhou, “Robust Convergence of Parareal Algorithms with Arbitrarily High-Order Fine Propagators,” SSRN Electronic Journal, 2022 [Online]. Available at: https://doi.org/10.2139%2Fssrn.4097528
    @article{YangEtAl2022,
      author = {Yang, Jiang and Yuan, Zhaoming and Zhou, Zhi},
      doi = {10.2139/ssrn.4097528},
      journal = {{SSRN} Electronic Journal},
      publisher = {Elsevier {BV}},
      title = {Robust Convergence of Parareal Algorithms with Arbitrarily High-Order Fine Propagators},
      url = {https://doi.org/10.2139%2Fssrn.4097528},
      year = {2022}
    }
    
  46. L. Yang and H. Li, “A hybrid algorithm based on parareal and Schwarz waveform relaxation,” Electronic Research Archive, vol. 30, no. 11, pp. 4086–4107, 2022 [Online]. Available at: https://doi.org/10.3934/era.2022207
    @article{YangEtAl2022b,
      author = {Yang, Liping and Li, Hu},
      doi = {10.3934/era.2022207},
      journal = {Electronic Research Archive},
      number = {11},
      pages = {4086--4107},
      publisher = {American Institute of Mathematical Sciences ({AIMS})},
      title = {A hybrid algorithm based on parareal and Schwarz waveform relaxation},
      url = {https://doi.org/10.3934/era.2022207},
      volume = {30},
      year = {2022}
    }
    
  47. R. Yoda, M. Bolten, K. Nakajima, and A. Fujii, “Assignment of idle processors to spatial redistributed domains on coarse levels in multigrid reduction in time,” in International Conference on High Performance Computing in Asia-Pacific Region, 2022 [Online]. Available at: https://doi.org/10.1145/3492805.3492810
    @inproceedings{YodaEtAl2022,
      author = {Yoda, Ryo and Bolten, Matthias and Nakajima, Kengo and Fujii, Akihiro},
      booktitle = {International Conference on High Performance Computing in Asia-Pacific Region},
      doi = {10.1145/3492805.3492810},
      month = jan,
      publisher = {{ACM}},
      title = {Assignment of idle processors to spatial redistributed domains on coarse levels in multigrid reduction in time},
      url = {https://doi.org/10.1145/3492805.3492810},
      year = {2022}
    }
    
  48. R. Yoda, M. Bolten, K. Nakajima, and A. Fujii, “Acceleration of Optimized Coarse-Grid Operators by Spatial Redistribution for Multigrid Reduction in Time,” in Computational Science – ICCS 2022, Springer International Publishing, 2022, pp. 214–221 [Online]. Available at: https://doi.org/10.1007/978-3-031-08754-7_29
    @incollection{YodaEtAl2022b,
      author = {Yoda, Ryo and Bolten, Matthias and Nakajima, Kengo and Fujii, Akihiro},
      booktitle = {Computational Science {\textendash} {ICCS} 2022},
      doi = {10.1007/978-3-031-08754-7_29},
      pages = {214--221},
      publisher = {Springer International Publishing},
      title = {Acceleration of~Optimized Coarse-Grid Operators by~Spatial Redistribution for~Multigrid Reduction in~Time},
      url = {https://doi.org/10.1007/978-3-031-08754-7_29},
      year = {2022}
    }
    
  49. R.-H. Zhang, Y.-L. Jiang, J. Li, and B. Song, “Analysis of the parareal algorithm for linear parametric differential equations,” International Journal of Computer Mathematics, pp. 1–0, Nov. 2022 [Online]. Available at: https://doi.org/10.1080/00207160.2022.2153225
    @article{ZhangEtAl2022,
      author = {Zhang, Ren-Hao and Jiang, Yao-Lin and Li, Jun and Song, Bo},
      doi = {10.1080/00207160.2022.2153225},
      journal = {International Journal of Computer Mathematics},
      month = nov,
      pages = {1--0},
      publisher = {Informa {UK} Limited},
      title = {Analysis of the parareal algorithm for linear parametric differential equations},
      url = {https://doi.org/10.1080/00207160.2022.2153225},
      year = {2022}
    }
    
top

2021

  1. J. Angel, S. Götschel, and D. Ruprecht, “Impact of spatial coarsening on Parareal convergence,” arXiv:2111.10228v1 [math.NA], 2021 [Online]. Available at: http://arxiv.org/abs/2111.10228v1
    @unpublished{AngelEtAl2021,
      author = {Angel, Judith and Götschel, Sebastian and Ruprecht, Daniel},
      howpublished = {arXiv:2111.10228v1 [math.NA]},
      title = {Impact of spatial coarsening on Parareal convergence},
      url = {http://arxiv.org/abs/2111.10228v1},
      year = {2021}
    }
    
  2. P. Benedusi, M. L. Minion, and R. Krause, “An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem,” Computers & Mathematics with Applications, vol. 99, pp. 162–170, Oct. 2021 [Online]. Available at: https://doi.org/10.1016%2Fj.camwa.2021.07.008
    @article{BenedusiEtAl2021,
      author = {Benedusi, Pietro and Minion, Michael L. and Krause, Rolf},
      doi = {10.1016/j.camwa.2021.07.008},
      journal = {Computers {\&} Mathematics with Applications},
      month = oct,
      pages = {162--170},
      publisher = {Elsevier {BV}},
      title = {An experimental comparison of a space-time multigrid method with {PFASST} for a reaction-diffusion problem},
      url = {https://doi.org/10.1016%2Fj.camwa.2021.07.008},
      volume = {99},
      year = {2021}
    }
    
  3. S. Blanes, “Novel parallel in time integrators for ODEs,” Applied Mathematics Letters, p. 107542, Jul. 2021 [Online]. Available at: https://doi.org/10.1016/j.aml.2021.107542
    @article{Blanes2021,
      author = {Blanes, Sergio},
      doi = {10.1016/j.aml.2021.107542},
      journal = {Applied Mathematics Letters},
      month = jul,
      pages = {107542},
      publisher = {Elsevier {BV}},
      title = {Novel parallel in time integrators for {ODEs}},
      url = {https://doi.org/10.1016/j.aml.2021.107542},
      year = {2021}
    }
    
  4. A. L. Blumers, M. Yin, H. Nakajima, Y. Hasegawa, Z. Li, and G. E. Karniadakis, “Multiscale parareal algorithm for long-time mesoscopic simulations of microvascular blood flow in zebrafish,” Computational Mechanics, Aug. 2021 [Online]. Available at: https://doi.org/10.1007%2Fs00466-021-02062-w
    @article{BlumersEtAl2021b,
      author = {Blumers, Ansel L. and Yin, Minglang and Nakajima, Hiroyuki and Hasegawa, Yosuke and Li, Zhen and Karniadakis, George Em},
      doi = {10.1007/s00466-021-02062-w},
      journal = {Computational Mechanics},
      month = aug,
      publisher = {Springer Science and Business Media {LLC}},
      title = {Multiscale parareal algorithm for long-time mesoscopic simulations of microvascular blood flow in zebrafish},
      url = {https://doi.org/10.1007%2Fs00466-021-02062-w},
      year = {2021}
    }
    
  5. T. Buvoli and M. Minion, “IMEX Runge-Kutta Parareal for Non-diffusive Equations,” in Springer Proceedings in Mathematics &\mathsemicolon Statistics, Springer International Publishing, 2021, pp. 95–127 [Online]. Available at: https://doi.org/10.1007%2F978-3-030-75933-9_5
    @incollection{BuvoliEtAl2021,
      author = {Buvoli, Tommaso and Minion, Michael},
      booktitle = {Springer Proceedings in Mathematics {\&}amp$\mathsemicolon$ Statistics},
      doi = {10.1007/978-3-030-75933-9_5},
      pages = {95--127},
      publisher = {Springer International Publishing},
      title = {{IMEX} Runge-Kutta Parareal for Non-diffusive Equations},
      url = {https://doi.org/10.1007%2F978-3-030-75933-9_5},
      year = {2021}
    }
    
  6. M. Cai, J. Mahseredjian, I. Kocar, X. Fu, and A. Haddadi, “A parallelization-in-time approach for accelerating EMT simulations,” Electric Power Systems Research, vol. 197, p. 107346, Aug. 2021 [Online]. Available at: https://doi.org/10.1016/j.epsr.2021.107346
    @article{CaiEtAl2021,
      author = {Cai, Ming and Mahseredjian, Jean and Kocar, Ilhan and Fu, Xiaopeng and Haddadi, Aboutaleb},
      doi = {10.1016/j.epsr.2021.107346},
      journal = {Electric Power Systems Research},
      month = aug,
      pages = {107346},
      publisher = {Elsevier {BV}},
      title = {A parallelization-in-time approach for accelerating {EMT} simulations},
      url = {https://doi.org/10.1016/j.epsr.2021.107346},
      volume = {197},
      year = {2021}
    }
    
  7. J. G. Caldas Steinstraesser, “Coupling large and small scale shallow water models with porosity in the presence of anisotropy,” PhD thesis, Université de Montpellier, 2021 [Online]. Available at: https://www.theses.fr/2021MONTS040
    @phdthesis{CaldasEtAl2021,
      author = {Caldas Steinstraesser, Jo\~{a}o Guilherme},
      school = {Universit\'{e} de Montpellier},
      title = {Coupling large and small scale shallow water models with porosity in the presence of anisotropy},
      url = {https://www.theses.fr/2021MONTS040},
      year = {2021}
    }
    
  8. J. G. Caldas Steinstraesser, V. Guinot, and A. Rousseau, “Modified parareal method for solving the two-dimensional nonlinear shallow water equations using finite volumes,” The SMAI journal of computational mathematics, vol. 7, pp. 159–184, 2021 [Online]. Available at: https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.75/
    @article{CaldasEtAl2021b,
      author = {Caldas Steinstraesser, Jo\~{a}o Guilherme and Guinot, Vincent and Rousseau, Antoine},
      doi = {10.5802/smai-jcm.75},
      journal = {The SMAI journal of computational mathematics},
      language = {en},
      pages = {159--184},
      publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
      title = {Modified parareal method for solving the two-dimensional nonlinear shallow water equations using finite volumes},
      url = {https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.75/},
      volume = {7},
      year = {2021}
    }
    
  9. M. Caliari, L. Einkemmer, A. Moriggl, and A. Ostermann, “An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs,” Journal of Computational Physics, vol. 437, p. 110289, Jul. 2021 [Online]. Available at: https://doi.org/10.1016%2Fj.jcp.2021.110289
    @article{CaliariEtAl2021,
      author = {Caliari, Marco and Einkemmer, Lukas and Moriggl, Alexander and Ostermann, Alexander},
      doi = {10.1016/j.jcp.2021.110289},
      journal = {Journal of Computational Physics},
      month = jul,
      pages = {110289},
      publisher = {Elsevier {BV}},
      title = {An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory {PDEs}},
      url = {https://doi.org/10.1016%2Fj.jcp.2021.110289},
      volume = {437},
      year = {2021}
    }
    
  10. J. Chaudhry, D. Estep, and S. Tavener, “A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations,” arXiv:2111.00606v1 [math.NA], 2021 [Online]. Available at: http://arxiv.org/abs/2111.00606v1
    @unpublished{ChaudhryEtAl2021,
      author = {Chaudhry, Jehanzeb and Estep, Donald and Tavener, Simon},
      howpublished = {arXiv:2111.00606v1 [math.NA]},
      title = {A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations},
      url = {http://arxiv.org/abs/2111.00606v1},
      year = {2021}
    }
    
  11. Y.-C. Chen and K. Nakajima, “Optimized Cascadic Multigrid Parareal Method for Explicit Time-Marching Schemes,” in 2021 12th Workshop on Latest Advances in Scalable Algorithms for Large-Scale Systems (ScalA), 2021 [Online]. Available at: https://doi.org/10.1109/scala54577.2021.00007
    @inproceedings{ChenEtAl2021,
      author = {Chen, Yen-Chen and Nakajima, Kengo},
      booktitle = {2021 12th Workshop on Latest Advances in Scalable Algorithms for Large-Scale Systems ({ScalA})},
      doi = {10.1109/scala54577.2021.00007},
      month = nov,
      publisher = {{IEEE}},
      title = {Optimized Cascadic Multigrid Parareal Method for Explicit Time-Marching Schemes},
      url = {https://doi.org/10.1109/scala54577.2021.00007},
      year = {2021}
    }
    
  12. T. Cheng, N. Lin, T. Liang, and V. Dinavahi, “Parallel-in-time-and-space electromagnetic transient simulation of multi-terminal DC grids with device-level switch modelling,” IET Generation, Transmission & Distribution, Sep. 2021 [Online]. Available at: https://doi.org/10.1049/gtd2.12285
    @article{ChengEtAl2021,
      author = {Cheng, Tianshi and Lin, Ning and Liang, Tian and Dinavahi, Venkata},
      doi = {10.1049/gtd2.12285},
      journal = {{IET} Generation, Transmission {\&} Distribution},
      month = sep,
      publisher = {Institution of Engineering and Technology ({IET})},
      title = {Parallel-in-time-and-space electromagnetic transient simulation of multi-terminal {DC} grids with device-level switch modelling},
      url = {https://doi.org/10.1049/gtd2.12285},
      year = {2021}
    }
    
  13. F. Danieli and A. J. Wathen, “All-at-once solution of linear wave equations,” Numerical Linear Algebra with Applications, May 2021 [Online]. Available at: https://doi.org/10.1002/nla.2386
    @article{DanieliEtAl2021c,
      author = {Danieli, Federico and Wathen, Andrew J.},
      doi = {10.1002/nla.2386},
      journal = {Numerical Linear Algebra with Applications},
      month = may,
      publisher = {Wiley},
      title = {All-at-once solution of linear wave equations},
      url = {https://doi.org/10.1002/nla.2386},
      year = {2021}
    }
    
  14. V. Dinavahi and N. Lin, “Parallel-in-Time EMT and Transient Stability Simulation of AC-DC Grids,” in Parallel Dynamic and Transient Simulation of Large-Scale Power Systems, Springer International Publishing, 2021, pp. 313–357 [Online]. Available at: https://doi.org/10.1007/978-3-030-86782-9_7
    @incollection{DinavahiEtAl2021,
      author = {Dinavahi, Venkata and Lin, Ning},
      booktitle = {Parallel Dynamic and Transient Simulation of Large-Scale Power Systems},
      doi = {10.1007/978-3-030-86782-9_7},
      month = sep,
      pages = {313--357},
      publisher = {Springer International Publishing},
      title = {Parallel-in-Time {EMT} and Transient Stability Simulation of {AC}-{DC} Grids},
      url = {https://doi.org/10.1007/978-3-030-86782-9_7},
      year = {2021}
    }
    
  15. M. Donatelli, R. Krause, M. Mazza, and K. Trotti, “All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations,” vol. 58, no. 4, Oct. 2021 [Online]. Available at: https://doi.org/10.1007/s10092-021-00436-3
    @article{DonatelliEtAl2021,
      author = {Donatelli, Marco and Krause, Rolf and Mazza, Mariarosa and Trotti, Ken},
      doi = {10.1007/s10092-021-00436-3},
      month = oct,
      number = {4},
      publisher = {Springer Science and Business Media {LLC}},
      title = {All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations},
      url = {https://doi.org/10.1007/s10092-021-00436-3},
      volume = {58},
      year = {2021}
    }
    
  16. A. C. Ellison and B. Fornberg, “A parallel-in-time approach for wave-type PDEs,” Numerische Mathematik, Apr. 2021 [Online]. Available at: https://doi.org/10.1007/s00211-021-01197-5
    @article{EllisonEtAl2021,
      author = {Ellison, Abe C. and Fornberg, Bengt},
      doi = {10.1007/s00211-021-01197-5},
      journal = {Numerische Mathematik},
      month = apr,
      publisher = {Springer Science and Business Media {LLC}},
      title = {A parallel-in-time approach for wave-type {PDEs}},
      url = {https://doi.org/10.1007/s00211-021-01197-5},
      year = {2021}
    }
    
  17. R. D. Falgout, T. A. Manteuffel, B. O’Neill, and J. B. Schroder, “Multigrid reduction in time with Richardson extrapolation,” ETNA - Electronic Transactions on Numerical Analysis, vol. 54, pp. 210–233, 2021 [Online]. Available at: https://doi.org/10.1553%2Fetna_vol54s210
    @article{FalgoutEtAl2021,
      author = {Falgout, R. D. and Manteuffel, T. A. and O{\textquotesingle}Neill, B. and Schroder, J. B.},
      doi = {10.1553/etna_vol54s210},
      journal = {{ETNA} - Electronic Transactions on Numerical Analysis},
      pages = {210--233},
      publisher = {Osterreichische Akademie der Wissenschaften},
      title = {Multigrid reduction in time with Richardson extrapolation},
      url = {https://doi.org/10.1553%2Fetna_vol54s210},
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  50. X. Yue, K. Pan, J. Zhou, Z. Weng, S. Shu, and J. Tang, “A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems,” Computers & Mathematics with Applications, vol. 89, pp. 57–67, May 2021 [Online]. Available at: https://doi.org/10.1016/j.camwa.2021.02.020
    @article{YueEtAl2021,
      author = {Yue, Xiaoqiang and Pan, Kejia and Zhou, Jie and Weng, Zhifeng and Shu, Shi and Tang, Juan},
      doi = {10.1016/j.camwa.2021.02.020},
      journal = {Computers {\&} Mathematics with Applications},
      month = may,
      pages = {57--67},
      publisher = {Elsevier {BV}},
      title = {A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems},
      url = {https://doi.org/10.1016/j.camwa.2021.02.020},
      volume = {89},
      year = {2021}
    }
    
  51. Y. Zeng, Y. Duan, and B.-S. Liu, “Solving 2D parabolic equations by using time parareal coupling with meshless collocation RBFs methods,” Engineering Analysis with Boundary Elements, vol. 127, pp. 102–112, Jun. 2021 [Online]. Available at: https://doi.org/10.1016/j.enganabound.2021.03.008
    @article{ZengEtAl2021,
      author = {Zeng, Yan and Duan, Yong and Liu, Bi-Sen},
      doi = {10.1016/j.enganabound.2021.03.008},
      journal = {Engineering Analysis with Boundary Elements},
      month = jun,
      pages = {102--112},
      publisher = {Elsevier {BV}},
      title = {Solving 2D parabolic equations by using time parareal coupling with meshless collocation {RBFs} methods},
      url = {https://doi.org/10.1016/j.enganabound.2021.03.008},
      volume = {127},
      year = {2021}
    }
    
  52. Y.-L. Zhao, X.-M. Gu, and A. Ostermann, “A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps,” Journal of Scientific Computing, vol. 88, no. 1, May 2021 [Online]. Available at: https://doi.org/10.1007/s10915-021-01527-7
    @article{ZhaoEtAl2021,
      author = {Zhao, Yong-Liang and Gu, Xian-Ming and Ostermann, Alexander},
      doi = {10.1007/s10915-021-01527-7},
      journal = {Journal of Scientific Computing},
      month = may,
      number = {1},
      publisher = {Springer Science and Business Media {LLC}},
      title = {A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps},
      url = {https://doi.org/10.1007/s10915-021-01527-7},
      volume = {88},
      year = {2021}
    }
    
  53. Y.-L. Zhao, J. Wu, and X.-M. Gu, “On the bilateral preconditioning for a L2-type all-at-once system arising from time-space fractional Bloch-Torrey equations,” arXiv:2109.06510v1 [math.NA], 2021 [Online]. Available at: http://arxiv.org/abs/2109.06510v1
    @unpublished{ZhaoEtAl2021b,
      author = {Zhao, Yong-Liang and Wu, Jing and Gu, Xian-Ming},
      howpublished = {arXiv:2109.06510v1 [math.NA]},
      title = {On the bilateral preconditioning for a L2-type all-at-once system arising from time-space fractional Bloch-Torrey equations},
      url = {http://arxiv.org/abs/2109.06510v1},
      year = {2021}
    }
    
top

2020

  1. W. Agboh, O. Grainger, D. Ruprecht, and M. Dogar, “Parareal with a Learned Coarse Model for Robotic Manipulation,” Computing and Visualization in Science, vol. 23, no. 8, 2020 [Online]. Available at: https://doi.org/10.1007/s00791-020-00327-0
    @article{AgbohEtAl2020,
      author = {Agboh, Wisdom and Grainger, Oliver and Ruprecht, Daniel and Dogar, Mehmet},
      journal = {Computing and Visualization in Science},
      number = {8},
      title = {Parareal with a Learned Coarse Model for Robotic Manipulation},
      url = {https://doi.org/10.1007/s00791-020-00327-0},
      volume = {23},
      year = {2020}
    }
    
  2. D. Bast, I. Kulchytska-Ruchka, S. Schoeps, and O. Rain, “Accelerated Steady-State Torque Computation for Induction Machines Using Parallel-In-Time Algorithms,” IEEE Transactions on Magnetics, pp. 1–1, 2020 [Online]. Available at: https://doi.org/10.1109/tmag.2019.2945510
    @article{BastEtAl2020,
      author = {Bast, Denys and Kulchytska-Ruchka, Iryna and Schoeps, Sebastian and Rain, Oliver},
      doi = {10.1109/tmag.2019.2945510},
      journal = {{IEEE} Transactions on Magnetics},
      pages = {1--1},
      publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
      title = {Accelerated Steady-State Torque Computation for Induction Machines Using Parallel-In-Time Algorithms},
      url = {https://doi.org/10.1109/tmag.2019.2945510},
      year = {2020}
    }
    
  3. C.-E. Brehier and X. Wang, “On Parareal Algorithms for Semilinear Parabolic Stochastic PDEs,” SIAM Journal on Numerical Analysis, vol. 58, no. 1, pp. 254–278, Jan. 2020 [Online]. Available at: https://doi.org/10.1137/19m1251011
    @article{BrehierEtAl2020,
      author = {Brehier, Charles-Edouard and Wang, Xu},
      doi = {10.1137/19m1251011},
      journal = {{SIAM} Journal on Numerical Analysis},
      month = jan,
      number = {1},
      pages = {254--278},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {On Parareal Algorithms for Semilinear Parabolic Stochastic {PDEs}},
      url = {https://doi.org/10.1137/19m1251011},
      volume = {58},
      year = {2020}
    }
    
  4. T. Buvoli, “Exponential Polynomial Time Integrators,” arXiv:2011.00670v1 [math.NA], 2020 [Online]. Available at: http://arxiv.org/abs/2011.00670v1
    @unpublished{Buvoli2020,
      author = {Buvoli, Tommaso},
      howpublished = {arXiv:2011.00670v1 [math.NA]},
      title = {Exponential Polynomial Time Integrators},
      url = {http://arxiv.org/abs/2011.00670v1},
      year = {2020}
    }
    
  5. T. Buvoli and M. L. Minion, “IMEX Parareal Integrators,” arXiv:2011.01604v1 [math.NA], 2020 [Online]. Available at: http://arxiv.org/abs/2011.01604v1
    @unpublished{BuvoliEtAl2020,
      author = {Buvoli, Tommaso and Minion, Michael L.},
      howpublished = {arXiv:2011.01604v1 [math.NA]},
      title = {IMEX Parareal Integrators},
      url = {http://arxiv.org/abs/2011.01604v1},
      year = {2020}
    }
    
  6. T. Cheng, T. Duan, and V. Dinavahi, “Parallel-in-Time Object-Oriented Electromagnetic Transient Simulation of Power Systems,” IEEE Open Access Journal of Power and Energy, pp. 1–1, 2020 [Online]. Available at: https://doi.org/10.1109/oajpe.2020.3012636
    @article{ChengEtAl2020,
      author = {Cheng, Tianshi and Duan, Tong and Dinavahi, Venkata},
      doi = {10.1109/oajpe.2020.3012636},
      journal = {{IEEE} Open Access Journal of Power and Energy},
      pages = {1--1},
      publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
      title = {Parallel-in-Time Object-Oriented Electromagnetic Transient Simulation of Power Systems},
      url = {https://doi.org/10.1109/oajpe.2020.3012636},
      year = {2020}
    }
    
  7. C.-K. Cheng, C.-T. Ho, C. Jia, X. Wang, Z. Zen, and X. Zha, “A Parallel-in-Time Circuit Simulator for Power Delivery Networks with Nonlinear Load Models,” in 2020 IEEE 29th Conference on Electrical Performance of Electronic Packaging and Systems (EPEPS), 2020 [Online]. Available at: https://doi.org/10.1109/epeps48591.2020.9231406
    @inproceedings{ChengEtAl2020b,
      author = {Cheng, Chung-Kuan and Ho, Chia-Tung and Jia, Chao and Wang, Xinyuan and Zen, Zhiyu and Zha, Xin},
      booktitle = {2020 {IEEE} 29th Conference on Electrical Performance of Electronic Packaging and Systems ({EPEPS})},
      doi = {10.1109/epeps48591.2020.9231406},
      month = oct,
      publisher = {{IEEE}},
      title = {A Parallel-in-Time Circuit Simulator for Power Delivery Networks with Nonlinear Load Models},
      url = {https://doi.org/10.1109/epeps48591.2020.9231406},
      year = {2020}
    }
    
  8. J. Christopher, R. D. Falgout, J. B. Schroder, S. M. Guzik, and X. Gao, “A space-time parallel algorithm with adaptive mesh refinement for computational fluid dynamics,” Computing and Visualization in Science, vol. 23, no. 1-4, Sep. 2020 [Online]. Available at: https://doi.org/10.1007/s00791-020-00334-1
    @article{ChristopherEtAl2020,
      author = {Christopher, Joshua and Falgout, Robert D. and Schroder, Jacob B. and Guzik, Stephen M. and Gao, Xinfeng},
      doi = {10.1007/s00791-020-00334-1},
      journal = {Computing and Visualization in Science},
      month = sep,
      number = {1-4},
      publisher = {Springer Science and Business Media {LLC}},
      title = {A space-time parallel algorithm with adaptive mesh refinement for computational fluid dynamics},
      url = {https://doi.org/10.1007/s00791-020-00334-1},
      volume = {23},
      year = {2020}
    }
    
  9. A. T. Clarke, C. J. Davies, D. Ruprecht, and S. M. Tobias, “Parallel-in-time integration of Kinematic Dynamos,” Journal of Computational Physics: X, vol. 7, p. 100057, 2020 [Online]. Available at: https://doi.org/10.1016/j.jcpx.2020.100057
    @article{ClarkeEtAl2020a,
      author = {Clarke, Andrew T. and Davies, Christopher J. and Ruprecht, Daniel and Tobias, Steven M.},
      doi = {10.1016/j.jcpx.2020.100057},
      journal = {Journal of Computational Physics: X},
      pages = {100057},
      title = {Parallel-in-time integration of Kinematic Dynamos},
      url = {https://doi.org/10.1016/j.jcpx.2020.100057},
      volume = {7},
      year = {2020}
    }
    
  10. A. Clarke, C. Davies, D. Ruprecht, S. Tobias, and J. S. Oishi, “Performance of parallel-in-time integration for Rayleigh Bénard Convection,” Computing and Visualization in Science, vol. 23, no. 10, 2020 [Online]. Available at: https://doi.org/10.1007/s00791-020-00332-3
    @article{ClarkeEtAl2020b,
      author = {Clarke, Andrew and Davies, Chris and Ruprecht, Daniel and Tobias, Steven and Oishi, Jeffrey S.},
      journal = {Computing and Visualization in Science},
      number = {10},
      title = {Performance of parallel-in-time integration for {R}ayleigh {B}énard Convection},
      url = {https://doi.org/10.1007/s00791-020-00332-3},
      volume = {23},
      year = {2020}
    }
    
  11. L. D’Amore and R. Cacciapuoti, “Model Reduction in Space and Time for the ab initio decomposition of 4D Variational Data Assimilation Problems,” Applied Numerical Mathematics, Oct. 2020 [Online]. Available at: https://doi.org/10.1016/j.apnum.2020.10.003
    @article{DAmoreEtAl2020,
      author = {D{\textquotesingle}Amore, L. and Cacciapuoti, R.},
      doi = {10.1016/j.apnum.2020.10.003},
      journal = {Applied Numerical Mathematics},
      month = oct,
      publisher = {Elsevier {BV}},
      title = {Model Reduction in Space and Time for the ab initio decomposition of 4D Variational Data Assimilation Problems},
      url = {https://doi.org/10.1016/j.apnum.2020.10.003},
      year = {2020}
    }
    
  12. C. Flamant, P. Protopapas, and D. Sondak, “Solving Differential Equations Using Neural Network Solution Bundles,” arXiv:2006.14372v1 [cs.LG], 2020 [Online]. Available at: http://arxiv.org/abs/2006.14372v1
    @unpublished{FlamantEtAl2020,
      author = {Flamant, Cedric and Protopapas, Pavlos and Sondak, David},
      howpublished = {arXiv:2006.14372v1 [cs.LG]},
      title = {Solving Differential Equations Using Neural Network Solution Bundles},
      url = {http://arxiv.org/abs/2006.14372v1},
      year = {2020}
    }
    
  13. M. J. Gander and T. Lunet, “ParaStieltjes: Parallel computation of Gauss quadrature rules using a Parareal-like approach for the Stieltjes procedure,” Numerical Linear Algebra with Applications, Jun. 2020 [Online]. Available at: https://doi.org/10.1002/nla.2314
    @article{GanderEtAl2020b,
      author = {Gander, Martin J. and Lunet, Thibaut},
      doi = {10.1002/nla.2314},
      journal = {Numerical Linear Algebra with Applications},
      month = jun,
      publisher = {Wiley},
      title = {{ParaStieltjes}: Parallel computation of Gauss quadrature rules using a Parareal-like approach for the Stieltjes procedure},
      url = {https://doi.org/10.1002/nla.2314},
      year = {2020}
    }
    
  14. M. J. Gander, F. Kwok, and J. Salomon, “PARAOPT: A Parareal Algorithm for Optimality Systems,” SIAM Journal on Scientific Computing, vol. 42, no. 5, pp. A2773–A2802, Jan. 2020 [Online]. Available at: https://doi.org/10.1137/19m1292291
    @article{GanderEtAl2020c,
      author = {Gander, Martin J. and Kwok, Felix and Salomon, Julien},
      doi = {10.1137/19m1292291},
      journal = {{SIAM} Journal on Scientific Computing},
      month = jan,
      number = {5},
      pages = {A2773--A2802},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {{PARAOPT}: A Parareal Algorithm for Optimality Systems},
      url = {https://doi.org/10.1137/19m1292291},
      volume = {42},
      year = {2020}
    }
    
  15. M. J. Gander and S.-L. Wu, “A Diagonalization-Based Parareal Algorithm for Dissipative and Wave Propagation Problems,” SIAM Journal on Numerical Analysis, vol. 58, no. 5, pp. 2981–3009, Jan. 2020 [Online]. Available at: https://doi.org/10.1137/19m1271683
    @article{GanderEtAl2020d,
      author = {Gander, Martin J. and Wu, Shu-Lin},
      doi = {10.1137/19m1271683},
      journal = {{SIAM} Journal on Numerical Analysis},
      month = jan,
      number = {5},
      pages = {2981--3009},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {A Diagonalization-Based Parareal Algorithm for Dissipative and Wave Propagation Problems},
      url = {https://doi.org/10.1137/19m1271683},
      volume = {58},
      year = {2020}
    }
    
  16. M. J. Gander, I. Kulchytska-Ruchka, and S. Schöps, “A New Parareal Algorithm for Time-Periodic Problems with Discontinuous Inputs,” in Lecture Notes in Computational Science and Engineering, Springer International Publishing, 2020, pp. 243–250 [Online]. Available at: https://doi.org/10.1007/978-3-030-56750-7_27
    @incollection{GanderEtAl2020e,
      author = {Gander, Martin J. and Kulchytska-Ruchka, Iryna and Schöps, Sebastian},
      booktitle = {Lecture Notes in Computational Science and Engineering},
      doi = {10.1007/978-3-030-56750-7_27},
      pages = {243--250},
      publisher = {Springer International Publishing},
      title = {A New Parareal Algorithm for Time-Periodic Problems with Discontinuous Inputs},
      url = {https://doi.org/10.1007/978-3-030-56750-7_27},
      year = {2020}
    }
    
  17. I. C. Garcia, I. Kulchytska-Ruchka, M. Clemens, and S. Schops, “Parallel-in-Time Solution of Eddy Current Problems Using Implicit and Explicit Time-stepping Methods,” in 2020 IEEE 19th Biennial Conference on Electromagnetic Field Computation (CEFC), 2020 [Online]. Available at: https://doi.org/10.1109%2Fcefc46938.2020.9451465
    @inproceedings{GarciaEtAl2020,
      author = {Garcia, I. Cortes and Kulchytska-Ruchka, I. and Clemens, M. and Schops, S.},
      booktitle = {2020 {IEEE} 19th Biennial Conference on Electromagnetic Field Computation ({CEFC})},
      doi = {10.1109/cefc46938.2020.9451465},
      month = nov,
      publisher = {{IEEE}},
      title = {Parallel-in-Time Solution of Eddy Current Problems Using Implicit and Explicit Time-stepping Methods},
      url = {https://doi.org/10.1109%2Fcefc46938.2020.9451465},
      year = {2020}
    }
    
  18. A. Garmon and D. Perez, “Exploiting Model Uncertainty to Improve the Scalability of Long-Time Simulations using Parallel Trajectory Splicing,” Modelling and Simulation in Materials Science and Engineering, Jul. 2020 [Online]. Available at: https://doi.org/10.1088/1361-651x/aba511
    @article{GarmonEtAl2020,
      author = {Garmon, Andrew and Perez, Danny},
      doi = {10.1088/1361-651x/aba511},
      journal = {Modelling and Simulation in Materials Science and Engineering},
      month = jul,
      publisher = {{IOP} Publishing},
      title = {Exploiting Model Uncertainty to Improve the Scalability of Long-Time Simulations using Parallel Trajectory Splicing},
      url = {https://doi.org/10.1088/1361-651x/aba511},
      year = {2020}
    }
    
  19. X.-M. Gu and S.-L. Wu, “A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel,” Journal of Computational Physics, vol. 417, p. 109576, Sep. 2020 [Online]. Available at: https://doi.org/10.1016/j.jcp.2020.109576
    @article{GuEtAl2020,
      author = {Gu, Xian-Ming and Wu, Shu-Lin},
      doi = {10.1016/j.jcp.2020.109576},
      journal = {Journal of Computational Physics},
      month = sep,
      pages = {109576},
      publisher = {Elsevier {BV}},
      title = {A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel},
      url = {https://doi.org/10.1016/j.jcp.2020.109576},
      volume = {417},
      year = {2020}
    }
    
  20. S. Günther, L. Ruthotto, J. B. Schroder, E. C. Cyr, and N. R. Gauger, “Layer-Parallel Training of Deep Residual Neural Networks,” SIAM Journal on Mathematics of Data Science, vol. 2, no. 1, pp. 1–23, Jan. 2020 [Online]. Available at: https://doi.org/10.1137/19m1247620
    @article{GüntherEtAl2020,
      author = {Günther, Stefanie and Ruthotto, Lars and Schroder, Jacob B. and Cyr, Eric C. and Gauger, Nicolas R.},
      doi = {10.1137/19m1247620},
      journal = {{SIAM} Journal on Mathematics of Data Science},
      month = jan,
      number = {1},
      pages = {1--23},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {Layer-Parallel Training of Deep Residual Neural Networks},
      url = {https://doi.org/10.1137/19m1247620},
      volume = {2},
      year = {2020}
    }
    
  21. J. Hahne, S. Friedhoff, and M. Bolten, “PyMGRIT: A Python Package for the parallel-in-time method MGRIT,” arXiv:2008.05172v1 [cs.MS], 2020 [Online]. Available at: http://arxiv.org/abs/2008.05172v1
    @unpublished{HahneEtAl2020,
      author = {Hahne, Jens and Friedhoff, Stephanie and Bolten, Matthias},
      howpublished = {arXiv:2008.05172v1 [cs.MS]},
      title = {PyMGRIT: A Python Package for the parallel-in-time method MGRIT},
      url = {http://arxiv.org/abs/2008.05172v1},
      year = {2020}
    }
    
  22. F. P. Hamon, M. Schreiber, and M. L. Minion, “Parallel-in-time multi-level integration of the shallow-water equations on the rotating sphere,” Journal of Computational Physics, vol. 407, p. 109210, Apr. 2020 [Online]. Available at: https://doi.org/10.1016/j.jcp.2019.109210
    @article{HamonEtAl2020,
      author = {Hamon, Fran{\c{c}}ois P. and Schreiber, Martin and Minion, Michael L.},
      doi = {10.1016/j.jcp.2019.109210},
      journal = {Journal of Computational Physics},
      month = apr,
      pages = {109210},
      publisher = {Elsevier {BV}},
      title = {Parallel-in-time multi-level integration of the shallow-water equations on the rotating sphere},
      url = {https://doi.org/10.1016/j.jcp.2019.109210},
      volume = {407},
      year = {2020}
    }
    
  23. A. Hessenthaler, B. S. Southworth, D. Nordsletten, O. Röhrle, R. D. Falgout, and J. B. Schroder, “Multilevel Convergence Analysis of Multigrid-Reduction-in-Time,” SIAM Journal on Scientific Computing, vol. 42, no. 2, pp. A771–A796, Jan. 2020 [Online]. Available at: https://doi.org/10.1137/19m1238812
    @article{HessenthalerEtAl2020,
      author = {Hessenthaler, Andreas and Southworth, Ben S. and Nordsletten, David and Röhrle, Oliver and Falgout, Robert D. and Schroder, Jacob B.},
      doi = {10.1137/19m1238812},
      journal = {{SIAM} Journal on Scientific Computing},
      month = jan,
      number = {2},
      pages = {A771--A796},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {Multilevel Convergence Analysis of Multigrid-Reduction-in-Time},
      url = {https://doi.org/10.1137/19m1238812},
      volume = {42},
      year = {2020}
    }
    
  24. N. E. Hodge, “Towards Improved Speed and Accuracy of Laser Powder Bed FusionSimulations via Representation of Multiple Time Scales,” Additive Manufacturing, p. 101600, Oct. 2020 [Online]. Available at: https://doi.org/10.1016/j.addma.2020.101600
    @article{Hodge2020,
      author = {Hodge, N.E.},
      doi = {10.1016/j.addma.2020.101600},
      journal = {Additive Manufacturing},
      month = oct,
      pages = {101600},
      publisher = {Elsevier {BV}},
      title = {Towards Improved Speed and Accuracy of Laser Powder Bed {FusionSimulations} via Representation of Multiple Time Scales},
      url = {https://doi.org/10.1016/j.addma.2020.101600},
      year = {2020}
    }
    
  25. X. Hu, C. Rodrigo, and F. J. Gaspar, “Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation,” Journal of Computational Physics, p. 109540, May 2020 [Online]. Available at: https://doi.org/10.1016/j.jcp.2020.109540
    @article{HuEtAl2020,
      author = {Hu, Xiaozhe and Rodrigo, Carmen and Gaspar, Francisco J.},
      doi = {10.1016/j.jcp.2020.109540},
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      month = may,
      pages = {109540},
      publisher = {Elsevier {BV}},
      title = {Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation},
      url = {https://doi.org/10.1016/j.jcp.2020.109540},
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  26. K. Jałowiecki, A. Więckowski, P. Gawron, and B. Gardas, “Parallel in time dynamics with quantum annealers,” Scientific Reports, vol. 10, no. 1, Aug. 2020 [Online]. Available at: https://doi.org/10.1038/s41598-020-70017-x
    @article{JałowieckiEtAl2020,
      author = {Ja{\l}owiecki, Konrad and Wi{\k{e}}ckowski, Andrzej and Gawron, Piotr and Gardas, Bart{\l}omiej},
      doi = {10.1038/s41598-020-70017-x},
      journal = {Scientific Reports},
      month = aug,
      number = {1},
      publisher = {Springer Science and Business Media {LLC}},
      title = {Parallel in time dynamics with quantum annealers},
      url = {https://doi.org/10.1038/s41598-020-70017-x},
      volume = {10},
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  27. A. Kirby, S. Samsi, M. Jones, A. Reuther, J. Kepner, and V. Gadepally, “Layer-Parallel Training with GPU Concurrency of Deep Residual Neural Networks via Nonlinear Multigrid,” in 2020 IEEE High Performance Extreme Computing Conference (HPEC), 2020 [Online]. Available at: https://doi.org/10.1109/hpec43674.2020.9286180
    @inproceedings{KirbyEtAl2020,
      author = {Kirby, Andrew and Samsi, Siddharth and Jones, Michael and Reuther, Albert and Kepner, Jeremy and Gadepally, Vijay},
      booktitle = {2020 {IEEE} High Performance Extreme Computing Conference ({HPEC})},
      doi = {10.1109/hpec43674.2020.9286180},
      month = sep,
      publisher = {{IEEE}},
      title = {Layer-Parallel Training with {GPU} Concurrency of Deep Residual Neural Networks via Nonlinear Multigrid},
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  28. S. Lakshmiranganatha and S. S. Muknahallipatna, “Graphical Processing Unit Based Time-Parallel Numerical Method for Ordinary Differential Equations,” Journal of Computer and Communications, vol. 08, no. 02, pp. 39–63, 2020 [Online]. Available at: https://doi.org/10.4236/jcc.2020.82004
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      author = {Lakshmiranganatha, Sumathi and Muknahallipatna, Suresh S.},
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      number = {02},
      pages = {39--63},
      publisher = {Scientific Research Publishing, Inc.},
      title = {Graphical Processing Unit Based Time-Parallel Numerical Method for Ordinary Differential Equations},
      url = {https://doi.org/10.4236/jcc.2020.82004},
      volume = {08},
      year = {2020}
    }
    
  29. F. Legoll, T. Lelièvre, K. Myerscough, and G. Samaey, “Parareal computation of stochastic differential equations with time-scale separation: a numerical convergence study,” Computing and Visualization in Science, vol. 23, no. 1-4, Sep. 2020 [Online]. Available at: https://doi.org/10.1007/s00791-020-00329-y
    @article{LegollEtAl2020,
      author = {Legoll, Fr{\'{e}}d{\'{e}}ric and Leli{\`{e}}vre, Tony and Myerscough, Keith and Samaey, Giovanni},
      doi = {10.1007/s00791-020-00329-y},
      journal = {Computing and Visualization in Science},
      month = sep,
      number = {1-4},
      publisher = {Springer Science and Business Media {LLC}},
      title = {Parareal computation of stochastic differential equations with time-scale separation: a numerical convergence study},
      url = {https://doi.org/10.1007/s00791-020-00329-y},
      volume = {23},
      year = {2020}
    }
    
  30. H. Liu, A. Cheng, and H. Wang, “A Parareal Finite Volume Method for Variable-Order Time-Fractional Diffusion Equations,” Journal of Scientific Computing, vol. 85, no. 1, Oct. 2020 [Online]. Available at: https://doi.org/10.1007/s10915-020-01321-x
    @article{LiuEtAl2020,
      author = {Liu, Huan and Cheng, Aijie and Wang, Hong},
      doi = {10.1007/s10915-020-01321-x},
      journal = {Journal of Scientific Computing},
      month = oct,
      number = {1},
      publisher = {Springer Science and Business Media {LLC}},
      title = {A Parareal Finite Volume Method for Variable-Order Time-Fractional Diffusion Equations},
      url = {https://doi.org/10.1007/s10915-020-01321-x},
      volume = {85},
      year = {2020}
    }
    
  31. J. Liu and Z. Wang, “A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems from evolutionary PDEs,” arXiv:2012.09148v1 [math.NA], 2020 [Online]. Available at: http://arxiv.org/abs/2012.09148v1
    @unpublished{LiuEtAl2020b,
      author = {Liu, Jun and Wang, Zhu},
      howpublished = {arXiv:2012.09148v1 [math.NA]},
      title = {A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems from evolutionary PDEs},
      url = {http://arxiv.org/abs/2012.09148v1},
      year = {2020}
    }
    
  32. J. Liu and S.-L. Wu, “A Fast Block \textdollar}alpha\textdollar-Circulant Preconditoner for All-at-Once Systems From Wave Equations,” SIAM Journal on Matrix Analysis and Applications, vol. 41, no. 4, pp. 1912–1943, Jan. 2020 [Online]. Available at: https://doi.org/10.1137/19m1309869
    @article{LiuEtAl2020c,
      author = {Liu, Jun and Wu, Shu-Lin},
      doi = {10.1137/19m1309869},
      journal = {{SIAM} Journal on Matrix Analysis and Applications},
      month = jan,
      number = {4},
      pages = {1912--1943},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {A Fast Block {\textdollar}{\textbackslash}alpha{\textdollar}-Circulant Preconditoner for All-at-Once Systems From Wave Equations},
      url = {https://doi.org/10.1137/19m1309869},
      volume = {41},
      year = {2020}
    }
    
  33. E. Lorin, “Derivation and analysis of parallel-in-time neural ordinary differential equations,” Annals of Mathematics and Artificial Intelligence, Jul. 2020 [Online]. Available at: https://doi.org/10.1007/s10472-020-09702-6
    @article{Lorin2020,
      author = {Lorin, E.},
      doi = {10.1007/s10472-020-09702-6},
      journal = {Annals of Mathematics and Artificial Intelligence},
      month = jul,
      publisher = {Springer Science and Business Media {LLC}},
      title = {Derivation and analysis of parallel-in-time neural ordinary differential equations},
      url = {https://doi.org/10.1007/s10472-020-09702-6},
      year = {2020}
    }
    
  34. Y. Maday and O. Mula, “An adaptive parareal algorithm,” Journal of Computational and Applied Mathematics, vol. 377, p. 112915, Oct. 2020 [Online]. Available at: https://doi.org/10.1016/j.cam.2020.112915
    @article{MadayEtAl2020,
      author = {Maday, Y. and Mula, O.},
      doi = {10.1016/j.cam.2020.112915},
      journal = {Journal of Computational and Applied Mathematics},
      month = oct,
      pages = {112915},
      publisher = {Elsevier {BV}},
      title = {An adaptive parareal algorithm},
      url = {https://doi.org/10.1016/j.cam.2020.112915},
      volume = {377},
      year = {2020}
    }
    
  35. X. Meng, Z. Li, D. Zhang, and G. E. Karniadakis, “PPINN: Parareal physics-informed neural network for time-dependent PDEs,” Computer Methods in Applied Mechanics and Engineering, vol. 370, p. 113250, Oct. 2020 [Online]. Available at: https://doi.org/10.1016/j.cma.2020.113250
    @article{MengEtAl2020,
      author = {Meng, Xuhui and Li, Zhen and Zhang, Dongkun and Karniadakis, George Em},
      doi = {10.1016/j.cma.2020.113250},
      journal = {Computer Methods in Applied Mechanics and Engineering},
      month = oct,
      pages = {113250},
      publisher = {Elsevier {BV}},
      title = {{PPINN}: Parareal physics-informed neural network for time-dependent {PDEs}},
      url = {https://doi.org/10.1016/j.cma.2020.113250},
      volume = {370},
      year = {2020}
    }
    
  36. H. Nguyen and R. Tsai, “A stable parareal-like method for the second order wave equation,” Journal of Computational Physics, vol. 405, p. 109156, 2020 [Online]. Available at: http://www.sciencedirect.com/science/article/pii/S0021999119308617
    @article{NguyenTsai2020,
      author = {Nguyen, Hieu and Tsai, Richard},
      doi = {https://doi.org/10.1016/j.jcp.2019.109156},
      issn = {0021-9991},
      journal = {Journal of Computational Physics},
      keywords = {Parallel-in-time, Wave equation, Procrustes problem},
      pages = {109156},
      title = {A stable parareal-like method for the second order wave equation},
      url = {http://www.sciencedirect.com/science/article/pii/S0021999119308617},
      volume = {405},
      year = {2020}
    }
    
  37. B. W. Ong and J. B. Schroder, “Applications of time parallelization,” Computing and Visualization in Science, vol. 23, no. 1-4, Sep. 2020 [Online]. Available at: https://doi.org/10.1007/s00791-020-00331-4
    @article{OngEtAl2020,
      author = {Ong, Benjamin W. and Schroder, Jacob B.},
      doi = {10.1007/s00791-020-00331-4},
      journal = {Computing and Visualization in Science},
      month = sep,
      number = {1-4},
      publisher = {Springer Science and Business Media {LLC}},
      title = {Applications of time parallelization},
      url = {https://doi.org/10.1007/s00791-020-00331-4},
      volume = {23},
      year = {2020}
    }
    
  38. B. Park, K. Sun, A. Dimitrovski, Y. Liu, M. A. Arif, S. Allu, and S. Simunovic, “Performance and Feature Improvements in Parareal-based Power System Dynamic Simulation,” in 2020 IEEE International Conference on Power Systems Technology (POWERCON), 2020 [Online]. Available at: https://doi.org/10.1109/powercon48463.2020.9230544
    @inproceedings{ParkEtAl2020,
      author = {Park, Byungkwon and Sun, Kai and Dimitrovski, Aleksandar and Liu, Yang and Arif, Md Arifin and Allu, Srikanth and Simunovic, Srdjan},
      booktitle = {2020 {IEEE} International Conference on Power Systems Technology ({POWERCON})},
      doi = {10.1109/powercon48463.2020.9230544},
      month = sep,
      publisher = {{IEEE}},
      title = {Performance and Feature Improvements in Parareal-based Power System Dynamic Simulation},
      url = {https://doi.org/10.1109/powercon48463.2020.9230544},
      year = {2020}
    }
    
  39. H. Rittich and R. Speck, “Time-parallel simulation of the Schrödinger Equation,” Computer Physics Communications, vol. 255, p. 107363, Oct. 2020 [Online]. Available at: https://doi.org/10.1016/j.cpc.2020.107363
    @article{RittichEtAl2020,
      author = {Rittich, Hannah and Speck, Robert},
      doi = {10.1016/j.cpc.2020.107363},
      journal = {Computer Physics Communications},
      month = oct,
      pages = {107363},
      publisher = {Elsevier {BV}},
      title = {Time-parallel simulation of the Schrödinger Equation},
      url = {https://doi.org/10.1016/j.cpc.2020.107363},
      volume = {255},
      year = {2020}
    }
    
  40. R. Schöbel and R. Speck, “PFASST-ER: combining the parallel full approximation scheme in space and time with parallelization across the method,” Computing and Visualization in Science, vol. 23, no. 1-4, Sep. 2020 [Online]. Available at: https://doi.org/10.1007/s00791-020-00330-5
    @article{SchoebelEtAl2020,
      author = {Schöbel, Ruth and Speck, Robert},
      doi = {10.1007/s00791-020-00330-5},
      journal = {Computing and Visualization in Science},
      month = sep,
      number = {1-4},
      publisher = {Springer Science and Business Media {LLC}},
      title = {{PFASST}-{ER}: combining the parallel full approximation scheme in space and time with parallelization across the method},
      url = {https://doi.org/10.1007/s00791-020-00330-5},
      volume = {23},
      year = {2020}
    }
    
  41. L. Z. sci, “Convergence Analysis of Parareal Algorithm Based on Milstein Scheme for Stochastic Differential Equations,” Journal of Computational Mathematics, vol. 38, no. 3, pp. 487–501, Jun. 2020 [Online]. Available at: https://doi.org/10.4208/jcm.1901-m2018-0085
    @article{sci2020,
      author = {sci, Liying Zhang},
      doi = {10.4208/jcm.1901-m2018-0085},
      journal = {Journal of Computational Mathematics},
      month = jun,
      number = {3},
      pages = {487--501},
      publisher = {Global Science Press},
      title = {Convergence Analysis of Parareal Algorithm Based on Milstein Scheme for Stochastic Differential Equations},
      url = {https://doi.org/10.4208/jcm.1901-m2018-0085},
      volume = {38},
      year = {2020}
    }
    
  42. B. Song, Y.-L. Jiang, and X. Wang, “Analysis of two new parareal algorithms based on the Dirichlet-Neumann/Neumann-Neumann waveform relaxation method for the heat equation,” Numerical Algorithms, Jun. 2020 [Online]. Available at: https://doi.org/10.1007/s11075-020-00949-y
    @article{SongEtAl2020,
      author = {Song, Bo and Jiang, Yao-Lin and Wang, Xiaolong},
      doi = {10.1007/s11075-020-00949-y},
      journal = {Numerical Algorithms},
      month = jun,
      publisher = {Springer Science and Business Media {LLC}},
      title = {Analysis of two new parareal algorithms based on the Dirichlet-Neumann/Neumann-Neumann waveform relaxation method for the heat equation},
      url = {https://doi.org/10.1007/s11075-020-00949-y},
      year = {2020}
    }
    
  43. B. Stump and A. Plotkowski, “Spatiotemporal parallelization of an analytical heat conduction model for additive manufacturing via a hybrid OpenMP \mathplus MPI approach,” Computational Materials Science, vol. 184, p. 109861, Nov. 2020 [Online]. Available at: https://doi.org/10.1016/j.commatsci.2020.109861
    @article{StumpEtAl2020,
      author = {Stump, B. and Plotkowski, A.},
      doi = {10.1016/j.commatsci.2020.109861},
      journal = {Computational Materials Science},
      month = nov,
      pages = {109861},
      publisher = {Elsevier {BV}},
      title = {Spatiotemporal parallelization of an analytical heat conduction model for additive manufacturing via a hybrid {OpenMP}~$\mathplus$~{MPI} approach},
      url = {https://doi.org/10.1016/j.commatsci.2020.109861},
      volume = {184},
      year = {2020}
    }
    
  44. S.-L. Wu and J. Liu, “A Parallel-In-Time Block-Circulant Preconditioner for Optimal Control of Wave Equations,” SIAM Journal on Scientific Computing, vol. 42, no. 3, pp. A1510–A1540, Jan. 2020 [Online]. Available at: https://doi.org/10.1137/19m1289613
    @article{WuEtAl2020,
      author = {Wu, Shu-Lin and Liu, Jun},
      doi = {10.1137/19m1289613},
      journal = {{SIAM} Journal on Scientific Computing},
      month = jan,
      number = {3},
      pages = {A1510--A1540},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {A Parallel-In-Time Block-Circulant Preconditioner for Optimal Control of Wave Equations},
      url = {https://doi.org/10.1137/19m1289613},
      volume = {42},
      year = {2020}
    }
    
  45. S. Wu and Z. Zhou, “Parallel-in-time high-order BDF schemes for diffusion and subdiffusion equations,” arXiv:2007.13125v1 [math.NA], 2020 [Online]. Available at: http://arxiv.org/abs/2007.13125v1
    @unpublished{WuEtAl2020b,
      author = {Wu, Shuonan and Zhou, Zhi},
      howpublished = {arXiv:2007.13125v1 [math.NA]},
      title = {Parallel-in-time high-order BDF schemes for diffusion and subdiffusion equations},
      url = {http://arxiv.org/abs/2007.13125v1},
      year = {2020}
    }
    
  46. S.-L. Wu and T. Zhou, “Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems,” ESAIM: Control, Optimisation and Calculus of Variations, vol. 26, p. 88, 2020 [Online]. Available at: https://doi.org/10.1051/cocv/2020012
    @article{WuEtAl2020c,
      author = {Wu, Shu-Lin and Zhou, Tao},
      doi = {10.1051/cocv/2020012},
      journal = {{ESAIM}: Control, Optimisation and Calculus of Variations},
      pages = {88},
      publisher = {{EDP} Sciences},
      title = {Diagonalization-based parallel-in-time algorithms for parabolic {PDE}-constrained optimization problems},
      url = {https://doi.org/10.1051/cocv/2020012},
      volume = {26},
      year = {2020}
    }
    
  47. Y.-L. Zhao, X.-M. Gu, M. Li, and H.-Y. Jian, “Preconditioners for all-at-once system from the fractional mobile/immobile advection–diffusion model,” Journal of Applied Mathematics and Computing, Jul. 2020 [Online]. Available at: https://doi.org/10.1007/s12190-020-01410-y
    @article{ZhaoEtAl2020,
      author = {Zhao, Yong-Liang and Gu, Xian-Ming and Li, Meng and Jian, Huan-Yan},
      doi = {10.1007/s12190-020-01410-y},
      journal = {Journal of Applied Mathematics and Computing},
      month = jul,
      publisher = {Springer Science and Business Media {LLC}},
      title = {Preconditioners for all-at-once system from the fractional mobile/immobile advection{\textendash}diffusion model},
      url = {https://doi.org/10.1007/s12190-020-01410-y},
      year = {2020}
    }
    
  48. Y.-L. Zhao, X.-M. Gu, and A. Ostermann, “A parallel preconditioning technique for an all-at-once system from subdiffusion equations with variable time steps,” arXiv:2007.14636v1 [math.NA], 2020 [Online]. Available at: http://arxiv.org/abs/2007.14636v1
    @unpublished{ZhaoEtAl2020b,
      author = {Zhao, Yong-Liang and Gu, Xian-Ming and Ostermann, Alexander},
      howpublished = {arXiv:2007.14636v1 [math.NA]},
      title = {A parallel preconditioning technique for an all-at-once system from subdiffusion equations with variable time steps},
      url = {http://arxiv.org/abs/2007.14636v1},
      year = {2020}
    }
    
top

2019

  1. A. L. Blumers, Z. Li, and G. E. Karniadakis, “Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: Application to hydrodynamics,” Journal of Computational Physics, vol. 393, pp. 214–228, 2019 [Online]. Available at: https://doi.org/10.1016/j.jcp.2019.05.016
    @article{BlumersEtAl2019,
      author = {Blumers, Ansel L. and Li, Zhen and Karniadakis, George Em},
      doi = {10.1016/j.jcp.2019.05.016},
      journal = {Journal of Computational Physics},
      pages = {214 - 228},
      title = {Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: Application to hydrodynamics},
      url = {https://doi.org/10.1016/j.jcp.2019.05.016},
      volume = {393},
      year = {2019}
    }
    
  2. K. Carlberg, L. Brencher, B. Haasdonk, and A. Barth, “Data-Driven Time Parallelism via Forecasting,” SIAM Journal on Scientific Computing, vol. 41, no. 3, pp. B466–B496, Jan. 2019 [Online]. Available at: https://doi.org/10.1137/18m1174362
    @article{CarlbergEtAl2019,
      author = {Carlberg, Kevin and Brencher, Lukas and Haasdonk, Bernard and Barth, Andrea},
      doi = {10.1137/18m1174362},
      journal = {{SIAM} Journal on Scientific Computing},
      month = jan,
      number = {3},
      pages = {B466--B496},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {Data-Driven Time Parallelism via Forecasting},
      url = {https://doi.org/10.1137/18m1174362},
      volume = {41},
      year = {2019}
    }
    
  3. S. Dohr, J. Zapletal, G. Of, M. Merta, and M. Kravčenko, “A parallel space–time boundary element method for the heat equation,” Computers & Mathematics with Applications, 2019 [Online]. Available at: http://www.sciencedirect.com/science/article/pii/S0898122118307296
    @article{DohrEtAl2019,
      author = {Dohr, Stefan and Zapletal, Jan and Of, Günther and Merta, Michal and Kravčenko, Michal},
      doi = {https://doi.org/10.1016/j.camwa.2018.12.031},
      journal = {Computers \& Mathematics with Applications},
      title = {A parallel space–time boundary element method for the heat equation},
      url = {http://www.sciencedirect.com/science/article/pii/S0898122118307296},
      year = {2019}
    }
    
  4. S. Friedhoff, J. Hahne, I. Kulchytska-Ruchka, and S. Schöps, “Exploring Parallel-in-Time Approaches for Eddy Current Problems,” in Progress in Industrial Mathematics at ECMI 2018, Springer International Publishing, 2019, pp. 373–379 [Online]. Available at: https://doi.org/10.1007/978-3-030-27550-1_47
    @incollection{FriedhoffEtAl2019,
      author = {Friedhoff, Stephanie and Hahne, Jens and Kulchytska-Ruchka, Iryna and Schöps, Sebastian},
      booktitle = {Progress in Industrial Mathematics at {ECMI} 2018},
      doi = {10.1007/978-3-030-27550-1_47},
      pages = {373--379},
      publisher = {Springer International Publishing},
      title = {Exploring Parallel-in-Time Approaches for Eddy Current Problems},
      url = {https://doi.org/10.1007/978-3-030-27550-1_47},
      year = {2019}
    }
    
  5. S. Friedhoff, J. Hahne, and S. Schöps, “Multigrid-reduction-in-time for Eddy Current problems,” PAMM, vol. 19, no. 1, Nov. 2019 [Online]. Available at: https://doi.org/10.1002/pamm.201900262
    @article{FriedhoffEtAl2019b,
      author = {Friedhoff, Stephanie and Hahne, Jens and Schöps, Sebastian},
      doi = {10.1002/pamm.201900262},
      journal = {{PAMM}},
      month = nov,
      number = {1},
      publisher = {Wiley},
      title = {Multigrid-reduction-in-time for Eddy Current problems},
      url = {https://doi.org/10.1002/pamm.201900262},
      volume = {19},
      year = {2019}
    }
    
  6. S. Friedhoff and B. S. Southworth, “On ‘Optimal’ h-Independent Convergence of Parareal and MGRIT Using Runge-Kutta Time Integration,” arXiv:1906.06672 [math.NA], 2019 [Online]. Available at: https://arxiv.org/abs/1906.06672
    @unpublished{FriedhoffSouthworth2019,
      author = {Friedhoff, Stephanie and Southworth, Ben S.},
      howpublished = {arXiv:1906.06672 [math.NA]},
      title = {On ``{O}ptimal'' h-{I}ndependent {C}onvergence of {P}arareal and {MGRIT} {U}sing {R}unge-{K}utta {T}ime {I}ntegration},
      url = {https://arxiv.org/abs/1906.06672},
      year = {2019}
    }
    
  7. M. Gander, L. Halpern, J. Rannou, and J. Ryan, “A Direct Time Parallel Solver by Diagonalization for the Wave Equation,” SIAM Journal on Scientific Computing, vol. 41, no. 1, pp. A220–A245, 2019 [Online]. Available at: https://doi.org/10.1137/17M1148347
    @article{GanderEtAl2019,
      author = {Gander, M. and Halpern, L. and Rannou, J. and Ryan, J.},
      doi = {10.1137/17M1148347},
      journal = {SIAM Journal on Scientific Computing},
      number = {1},
      pages = {A220--A245},
      title = {A Direct Time Parallel Solver by Diagonalization for the Wave Equation},
      url = {https://doi.org/10.1137/17M1148347},
      volume = {41},
      year = {2019}
    }
    
  8. M. Gander, Y. Jiang, and B. Song, “A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm,” SIAM Journal on Scientific Computing, vol. 41, no. 2, pp. A1148–A1169, 2019 [Online]. Available at: https://doi.org/10.1137/18M1177226
    @article{GanderEtAl2019b,
      author = {Gander, M. and Jiang, Y. and Song, B.},
      doi = {10.1137/18M1177226},
      journal = {SIAM Journal on Scientific Computing},
      number = {2},
      pages = {A1148--A1169},
      title = {A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm},
      url = {https://doi.org/10.1137/18M1177226},
      volume = {41},
      year = {2019}
    }
    
  9. M. J. Gander, I. Kulchytska-Ruchka, I. Niyonzima, and S. Schöps, “A New Parareal Algorithm for Problems with Discontinuous Sources,” SIAM Journal on Scientific Computing, vol. 41, no. 2, pp. B375–B395, 2019 [Online]. Available at: https://doi.org/10.1137/18M1175653
    @article{GanderEtAl2019c,
      author = {Gander, Martin J. and Kulchytska-Ruchka, Iryna and Niyonzima, Innocent and Schöps, Sebastian},
      doi = {10.1137/18M1175653},
      journal = {SIAM Journal on Scientific Computing},
      number = {2},
      pages = {B375--B395},
      title = {A New Parareal Algorithm for Problems with Discontinuous Sources},
      url = {https://doi.org/10.1137/18M1175653},
      volume = {41},
      year = {2019}
    }
    
  10. M. J. Gander and S.-L. Wu, “Convergence analysis of a periodic-like waveform relaxation method for initial-value problems via the diagonalization technique,” Numerische Mathematik, vol. 143, no. 2, pp. 489–527, Jun. 2019 [Online]. Available at: https://doi.org/10.1007/s00211-019-01060-8
    @article{GanderEtAl2019d,
      author = {Gander, Martin J. and Wu, Shu-Lin},
      doi = {10.1007/s00211-019-01060-8},
      journal = {Numerische Mathematik},
      month = jun,
      number = {2},
      pages = {489--527},
      publisher = {Springer Science and Business Media {LLC}},
      title = {Convergence analysis of a periodic-like waveform relaxation method for initial-value problems via the diagonalization technique},
      url = {https://doi.org/10.1007/s00211-019-01060-8},
      volume = {143},
      year = {2019}
    }
    
  11. S. Götschel and M. L. Minion, “An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs,” SIAM Journal on Scientific Computing, vol. 41, no. 6, pp. C603–C626, Jan. 2019 [Online]. Available at: https://doi.org/10.1137/19m1239313
    @article{GötschelEtAl2019,
      author = {Götschel, Sebastian and Minion, Michael L.},
      doi = {10.1137/19m1239313},
      journal = {{SIAM} Journal on Scientific Computing},
      month = jan,
      number = {6},
      pages = {C603--C626},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {An Efficient Parallel-in-Time Method for Optimization with Parabolic {PDEs}},
      url = {https://doi.org/10.1137/19m1239313},
      volume = {41},
      year = {2019}
    }
    
  12. F. Hédin and T. Lelièvre, “gen.parRep: A first implementation of the Generalized Parallel Replica dynamics for the long time simulation of metastable biochemical systems,” Computer Physics Communications, 2019 [Online]. Available at: https://doi.org/10.1016/j.cpc.2019.01.005
    @article{HedinLelievre2019,
      author = {Hédin, Florent and Lelièvre, Tony},
      doi = {10.1016/j.cpc.2019.01.005},
      journal = {Computer Physics Communications},
      title = {gen.parRep: A first implementation of the Generalized Parallel Replica dynamics for the long time simulation of metastable biochemical systems},
      url = {https://doi.org/10.1016/j.cpc.2019.01.005},
      year = {2019}
    }
    
  13. J. Hong, X. Wang, and L. Zhang, “Parareal Exponential \textdollar}theta\textdollar-Scheme for Longtime Simulation of Stochastic Schrödinger Equations with Weak Damping,” SIAM Journal on Scientific Computing, vol. 41, no. 6, pp. B1155–B1177, Jan. 2019 [Online]. Available at: https://doi.org/10.1137/18m1176749
    @article{HongEtAl2019,
      author = {Hong, Jialin and Wang, Xu and Zhang, Liying},
      doi = {10.1137/18m1176749},
      journal = {{SIAM} Journal on Scientific Computing},
      month = jan,
      number = {6},
      pages = {B1155--B1177},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {Parareal Exponential {\textdollar}{\textbackslash}theta{\textdollar}-Scheme for Longtime Simulation of Stochastic Schrödinger Equations with Weak Damping},
      url = {https://doi.org/10.1137/18m1176749},
      volume = {41},
      year = {2019}
    }
    
  14. A. Howse, H. Sterck, R. Falgout, S. MacLachlan, and J. Schroder, “Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations,” SIAM Journal on Scientific Computing, vol. 41, no. 1, pp. A538–A565, 2019 [Online]. Available at: https://dx.doi.org/10.1137/17M1144982
    @article{HowseEtAl2019,
      author = {Howse, A. and Sterck, H. and Falgout, R. and MacLachlan, S. and Schroder, J.},
      doi = {10.1137/17M1144982},
      journal = {SIAM Journal on Scientific Computing},
      number = {1},
      pages = {A538--A565},
      title = {Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations},
      url = {https://dx.doi.org/10.1137/17M1144982},
      volume = {41},
      year = {2019}
    }
    
  15. O. A. Krzysik, H. D. Sterck, S. P. MacLachlan, and S. Friedhoff, “On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection,” arXiv:1902.07757 [math.NA], 2019 [Online]. Available at: https://arxiv.org/abs/1902.07757
    @unpublished{KrzysikEtAl2019,
      author = {Krzysik, Oliver A. and Sterck, Hans De and MacLachlan, Scott P. and Friedhoff, Stephanie},
      howpublished = {arXiv:1902.07757 [math.NA]},
      title = {On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection},
      url = {https://arxiv.org/abs/1902.07757},
      year = {2019}
    }
    
  16. F. Kwok and B. Ong, “Schwarz Waveform Relaxation with Adaptive Pipelining,” SIAM Journal on Scientific Computing, vol. 41, no. 1, pp. A339–A364, 2019 [Online]. Available at: https://doi.org/10.1137/17M115311X
    @article{KwokOng2019,
      author = {Kwok, F. and Ong, B.},
      doi = {10.1137/17M115311X},
      journal = {SIAM Journal on Scientific Computing},
      number = {1},
      pages = {A339--A364},
      title = {Schwarz Waveform Relaxation with Adaptive Pipelining},
      url = {https://doi.org/10.1137/17M115311X},
      volume = {41},
      year = {2019}
    }
    
  17. S. Li, R. Chen, and X. Shao, “Parallel two-level space–time hybrid Schwarz method for solving linear parabolic equations,” Applied Numerical Mathematics, vol. 139, pp. 120–135, 2019 [Online]. Available at: https://doi.org/10.1016/j.apnum.2019.01.016
    @article{LiEtAl2019,
      author = {Li, Shishun and Chen, Rongliang and Shao, Xinping},
      doi = {10.1016/j.apnum.2019.01.016},
      journal = {Applied Numerical Mathematics},
      pages = {120--135},
      title = {Parallel two-level space–time hybrid Schwarz method for solving linear parabolic equations},
      url = {https://doi.org/10.1016/j.apnum.2019.01.016},
      volume = {139},
      year = {2019}
    }
    
  18. S. Li, X. Shao, and X.-C. Cai, “Highly parallel space-time domain decomposition methods for parabolic problems,” CCF Transactions on High Performance Computing, 2019 [Online]. Available at: https://doi.org/10.1007/s42514-019-00003-x
    @article{LiEtAl2019b,
      author = {Li, Shishun and Shao, Xinping and Cai, Xiao-Chuan},
      doi = {10.1007/s42514-019-00003-x},
      journal = {CCF Transactions on High Performance Computing},
      title = {Highly parallel space-time domain decomposition methods for parabolic problems},
      url = {https://doi.org/10.1007/s42514-019-00003-x},
      year = {2019}
    }
    
  19. V. Mele, D. Romano, E. M. Constantinescu, L. Carracciuolo, and L. D’Amore, “Performance Evaluation for a PETSc Parallel-in-Time Solver Based on the MGRIT Algorithm,” in Euro-Par 2018: Parallel Processing Workshops, 2019, pp. 716–728 [Online]. Available at: https://doi.org/10.1002/cpe.4928
    @inproceedings{MeleEtAl2019,
      author = {Mele, Valeria and Romano, Diego and Constantinescu, Emil M. and Carracciuolo, Luisa and D'Amore, Luisa},
      booktitle = {Euro-Par 2018: Parallel Processing Workshops},
      doi = {10.1002/cpe.4928},
      editor = {Mencagli, Gabriele and B. Heras, Dora and Cardellini, Valeria and Casalicchio, Emiliano and Jeannot, Emmanuel and Wolf, Felix and Salis, Antonio and Schifanella, Claudio and Manumachu, Ravi Reddy and Ricci, Laura and Beccuti, Marco and Antonelli, Laura and Garcia Sanchez, Jos{\'e} Daniel and Scott, Stephen L.},
      pages = {716--728},
      publisher = {Springer International Publishing},
      title = {Performance Evaluation for a PETSc Parallel-in-Time Solver Based on the MGRIT Algorithm},
      url = {https://doi.org/10.1002/cpe.4928},
      year = {2019}
    }
    
  20. M. Neumüller and I. Smears, “Time-Parallel Iterative Solvers for Parabolic Evolution Equations,” SIAM Journal on Scientific Computing, vol. 41, no. 1, pp. C28–C51, 2019 [Online]. Available at: https://doi.org/10.1137/18M1172466
    @article{NeumuellerSmears2019,
      author = {Neum{\"u}ller, M. and Smears, I.},
      doi = {10.1137/18M1172466},
      journal = {SIAM Journal on Scientific Computing},
      number = {1},
      pages = {C28--C51},
      title = {Time-Parallel Iterative Solvers for Parabolic Evolution Equations},
      url = {https://doi.org/10.1137/18M1172466},
      volume = {41},
      year = {2019}
    }
    
  21. A. G. Peddle, T. Haut, and B. Wingate, “Parareal Convergence for Oscillatory PDEłowercases with Finite Time-Scale Separation,” SIAM Journal on Scientific Computing, vol. 41, no. 6, pp. A3476–A3497, Jan. 2019 [Online]. Available at: https://doi.org/10.1137/17m1131611
    @article{PeddleEtAl2019,
      author = {Peddle, Adam G. and Haut, Terry and Wingate, Beth},
      doi = {10.1137/17m1131611},
      journal = {{SIAM} Journal on Scientific Computing},
      month = jan,
      number = {6},
      pages = {A3476--A3497},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {Parareal Convergence for Oscillatory {PDE}{\l}owercases with Finite Time-Scale Separation},
      url = {https://doi.org/10.1137/17m1131611},
      volume = {41},
      year = {2019}
    }
    
  22. Rosa-Raı́ces Jorge L., B. Zhang, and T. F. Miller, “Path-accelerated stochastic molecular dynamics: Parallel-in-time integration using path integrals,” The Journal of Chemical Physics, vol. 151, no. 16, p. 164120, Oct. 2019 [Online]. Available at: https://doi.org/10.1063/1.5125455
    @article{Rosa-RaícesEtAl2019,
      author = {Rosa-Ra{\'{\i}}ces, Jorge L. and Zhang, Bin and Miller, Thomas F.},
      doi = {10.1063/1.5125455},
      journal = {The Journal of Chemical Physics},
      month = oct,
      number = {16},
      pages = {164120},
      publisher = {{AIP} Publishing},
      title = {Path-accelerated stochastic molecular dynamics: Parallel-in-time integration using path integrals},
      url = {https://doi.org/10.1063/1.5125455},
      volume = {151},
      year = {2019}
    }
    
  23. D. Samaddar, D. P. Coster, X. Bonnin, L. A. Berry, W. R. Elwasif, and D. B. Batchelor, “Application of the parareal algorithm to simulations of ELMs in ITER plasma,” Computer Physics Communications, vol. 235, pp. 246–257, 2019 [Online]. Available at: https://doi.org/10.1016/j.cpc.2018.08.007
    @article{SamaddarEtAl2019,
      author = {Samaddar, D. and Coster, D.P. and Bonnin, X. and Berry, L.A. and Elwasif, W.R. and Batchelor, D.B.},
      doi = {10.1016/j.cpc.2018.08.007},
      journal = {Computer Physics Communications},
      pages = {246--257},
      title = {Application of the parareal algorithm to simulations of {ELM}s in {ITER} plasma},
      url = {https://doi.org/10.1016/j.cpc.2018.08.007},
      volume = {235},
      year = {2019}
    }
    
  24. M. Schreiber, N. Schaeffer, and R. Loft, “Exponential Integrators with Parallel-in-Time Rational Approximations for Shallow-Water Equations on the Rotating Sphere,” Parallel Computing, 2019 [Online]. Available at: https://dx.doi.org/10.1016/j.parco.2019.01.005
    @article{SchreiberLoft2019,
      author = {Schreiber, M. and Schaeffer, N. and Loft, R.},
      doi = {10.1016/j.parco.2019.01.005},
      journal = {Parallel Computing},
      title = {Exponential Integrators with Parallel-in-Time Rational Approximations for Shallow-Water Equations on the Rotating Sphere},
      url = {https://dx.doi.org/10.1016/j.parco.2019.01.005},
      year = {2019}
    }
    
  25. M. Schreiber and R. Loft, “A parallel time integrator for solving the linearized shallow water equations on the rotating sphere,” Numerical Linear Algebra with Applications, vol. 26, no. 2, p. e2220, 2019 [Online]. Available at: https://onlinelibrary.wiley.com/doi/abs/10.1002/nla.2220
    @article{SchreiberLoft2019b,
      author = {Schreiber, Martin and Loft, Richard},
      doi = {10.1002/nla.2220},
      journal = {Numerical Linear Algebra with Applications},
      number = {2},
      pages = {e2220},
      title = {A parallel time integrator for solving the linearized shallow water equations on the rotating sphere},
      url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/nla.2220},
      volume = {26},
      year = {2019}
    }
    
  26. B. S. Southworth, “Necessary Conditions and Tight Two-level Convergence Bounds for Parareal and Multigrid Reduction in Time,” SIAM J. Matrix Anal. Appl., vol. 40, no. 2, pp. 564–608, 2019.
    @article{Southworth2019,
      author = {Southworth, Ben S.},
      doi = {https://doi.org/10.1137/18M1226208},
      journal = {SIAM J. Matrix Anal. Appl.},
      number = {2},
      pages = {564--608},
      title = {Necessary {C}onditions and {T}ight {T}wo-level {C}onvergence {B}ounds for {P}arareal and {M}ultigrid {R}eduction in {T}ime},
      volume = {40},
      year = {2019}
    }
    
  27. R. Speck, “Algorithm 997: pySDC - Prototyping Spectral Deferred Corrections,” ACM Transactions on Mathematical Software, vol. 45, no. 3, pp. 1–23, Aug. 2019 [Online]. Available at: https://doi.org/10.1145/3310410
    @article{Speck2019,
      author = {Speck, Robert},
      doi = {10.1145/3310410},
      journal = {{ACM} Transactions on Mathematical Software},
      month = aug,
      number = {3},
      pages = {1--23},
      publisher = {Association for Computing Machinery ({ACM})},
      title = {Algorithm 997: pySDC - Prototyping Spectral Deferred Corrections},
      url = {https://doi.org/10.1145/3310410},
      volume = {45},
      year = {2019}
    }
    
  28. R. Speck, M. Knobloch, A. Gocht, and S. Lührs, “Using performance analysis tools for parallel-in-time integrators – Does my time-parallel code do what I think it does?,” arXiv:1911.13027v1 [cs.PF], 2019 [Online]. Available at: http://arxiv.org/abs/1911.13027v1
    @unpublished{SpeckEtAl2019,
      author = {Speck, Robert and Knobloch, Michael and Gocht, Andreas and Lührs, Sebastian},
      howpublished = {arXiv:1911.13027v1 [cs.PF]},
      title = {Using performance analysis tools for parallel-in-time integrators -- Does my time-parallel code do what I think it does?},
      url = {http://arxiv.org/abs/1911.13027v1},
      year = {2019}
    }
    
  29. S. Wang, Y. Shao, and Z. Peng, “A Parallel-in-Space-and-Time Method for Transient Electromagnetic Problems,” IEEE Transactions on Antennas and Propagation, vol. 67, no. 6, pp. 3961–3973, 2019 [Online]. Available at: https://doi.org/10.1109/TAP.2019.2909937
    @article{WangEtSl2019,
      author = {Wang, S. and Shao, Y. and Peng, Z.},
      doi = {10.1109/TAP.2019.2909937},
      journal = {IEEE Transactions on Antennas and Propagation},
      number = {6},
      pages = {3961-3973},
      title = {A Parallel-in-Space-and-Time Method for Transient Electromagnetic Problems},
      url = {https://doi.org/10.1109/TAP.2019.2909937},
      volume = {67},
      year = {2019}
    }
    
  30. S.-L. Wu and T. Zhou, “Acceleration of the Two-Level MGRIT Algorithm via the Diagonalization Technique,” SIAM Journal on Scientific Computing, vol. 41, no. 5, pp. A3421–A3448, Jan. 2019 [Online]. Available at: https://doi.org/10.1137/18m1207697
    @article{WuEtAl2019,
      author = {Wu, Shu-Lin and Zhou, Tao},
      doi = {10.1137/18m1207697},
      journal = {{SIAM} Journal on Scientific Computing},
      month = jan,
      number = {5},
      pages = {A3421--A3448},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {Acceleration of the Two-Level {MGRIT} Algorithm via the Diagonalization Technique},
      url = {https://doi.org/10.1137/18m1207697},
      volume = {41},
      year = {2019}
    }
    
  31. L. Zhang, W. Zhou, and L. Ji, “Parareal algorithms applied to stochastic differential equations with conserved quantities,” Journal of Computational Mathematics, vol. 37, no. 1, pp. 48–60, 2019 [Online]. Available at: https://doi.org/10.4208/jcm.1708-m2017-0089
    @article{ZhangEtAl2019,
      author = {Zhang, Liying and Zhou, Weien and Ji, Lihai},
      doi = {10.4208/jcm.1708-m2017-0089},
      journal = {Journal of Computational Mathematics},
      number = {1},
      pages = {48--60},
      title = {Parareal algorithms applied to stochastic differential equations with conserved quantities},
      url = {https://doi.org/10.4208/jcm.1708-m2017-0089},
      volume = {37},
      year = {2019}
    }
    
top

2018

  1. S. Badia and M. Olm, “Nonlinear parallel-in-time Schur complement solvers for ordinary differential equations,” Journal of Computational and Applied Mathematics, vol. 344, pp. 794–806, 2018 [Online]. Available at: https://doi.org/10.1016/j.cam.2017.09.033
    @article{BadiaEtAl2018,
      author = {Badia, Santiago and Olm, Marc},
      doi = {10.1016/j.cam.2017.09.033},
      journal = {Journal of Computational and Applied Mathematics},
      pages = {794--806},
      title = {Nonlinear parallel-in-time Schur complement solvers for ordinary differential equations},
      url = {https://doi.org/10.1016/j.cam.2017.09.033},
      volume = {344},
      year = {2018}
    }
    
  2. P. Benedusi, C. Garoni, R. Krause, X. Li, and S. Serra-Capizzano, “Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol,” SIAM Journal on Matrix Analysis and Applications, vol. 39, no. 3, pp. 1383–1420, 2018 [Online]. Available at: https://doi.org/10.1137/17M113527X
    @article{BenedusiEtAl2018,
      author = {Benedusi, Pietro and Garoni, Carlo and Krause, Rolf and Li, Xiaozhou and Serra-Capizzano, Stefano},
      doi = {10.1137/17M113527X},
      journal = {SIAM Journal on Matrix Analysis and Applications},
      number = {3},
      pages = {1383-1420},
      title = {Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol},
      url = {https://doi.org/10.1137/17M113527X},
      volume = {39},
      year = {2018}
    }
    
  3. M. Bolten, D. Moser, and R. Speck, “Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems,” Numerical Linear Algebra with Applications, vol. 25, no. 6, p. e2208, 2018 [Online]. Available at: https://onlinelibrary.wiley.com/doi/abs/10.1002/nla.2208
    @article{BoltenEtAl2018,
      author = {Bolten, Matthias and Moser, Dieter and Speck, Robert},
      doi = {10.1002/nla.2208},
      journal = {Numerical Linear Algebra with Applications},
      number = {6},
      pages = {e2208},
      title = {Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems},
      url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/nla.2208},
      volume = {25},
      year = {2018}
    }
    
  4. Manuel Borregales and Kundan Kumar and Florin Adrian Radu and Carmen Rodrigo and Francisco José Gaspar, “A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model,” Computers & Mathematics with Applications, 2018 [Online]. Available at: https://doi.org/10.1016/j.camwa.2018.09.005
    @article{BorregalesEtAl2018,
      author = {{Manuel Borregales and Kundan Kumar and Florin Adrian Radu and Carmen Rodrigo and Francisco Jos{\'e} Gaspar}},
      doi = {10.1016/j.camwa.2018.09.005},
      journal = {Computers \& Mathematics with Applications},
      title = {{A partially parallel-in-time fixed-stress splitting method for Biot’s consolidation model}},
      url = {https://doi.org/10.1016/j.camwa.2018.09.005},
      year = {2018}
    }
    
  5. S. Bu, “Time parallelization scheme with an adaptive time step size for solving stiff initial value problems,” Open Mathematics, vol. 16, no. 1, pp. 210–218, 2018 [Online]. Available at: https://doi.org/10.1515/math-2018-0022
    @article{Bu2018,
      author = {Bu, Sunyoung},
      doi = {10.1515/math-2018-0022},
      issue = {1},
      journal = {Open Mathematics},
      pages = {210--218},
      title = {Time parallelization scheme with an adaptive time step size for solving stiff initial value problems},
      url = {https://doi.org/10.1515/math-2018-0022},
      volume = {16},
      year = {2018}
    }
    
  6. L. D’Amore and R. Cacciapuoti, “DD-DA PinT-based model: A Domain Decomposition approach in space and time, based on Parareal, for solving the 4D-Var Data Assimilation model,” arXiv:1807.07107 [math.NA], 2018 [Online]. Available at: https://arxiv.org/abs/1807.07107
    @unpublished{DamoreEtAl2018,
      author = {D'Amore, Luisa and Cacciapuoti, Rosalba},
      howpublished = {arXiv:1807.07107 [math.NA]},
      title = {DD-DA PinT-based model: A Domain Decomposition approach in space and time, based on Parareal, for solving the 4D-Var Data Assimilation model},
      url = {https://arxiv.org/abs/1807.07107},
      year = {2018}
    }
    
  7. N. Duan, S. Simunovic, A. Dimitrovski, and K. Sun, “Improving the Convergence Rate of Parareal-in-time Power System Simulation using the Krylov Subspace,” in 2018 IEEE Power Energy Society General Meeting (PESGM), 2018, pp. 1–5 [Online]. Available at: https://dx.doi.org/10.1109/PESGM.2018.8586354
    @inproceedings{DuanEtAl2018,
      author = {{Duan}, N. and {Simunovic}, S. and {Dimitrovski}, A. and {Sun}, K.},
      booktitle = {2018 IEEE Power Energy Society General Meeting (PESGM)},
      doi = {10.1109/PESGM.2018.8586354},
      pages = {1--5},
      title = {Improving the Convergence Rate of Parareal-in-time Power System Simulation using the {K}rylov Subspace},
      url = {https://dx.doi.org/10.1109/PESGM.2018.8586354},
      year = {2018}
    }
    
  8. R. Dyja, B. Ganapathysubramanian, and K. G. van der Zee, “Parallel-In-Space-Time, Adaptive Finite Element Framework for Nonlinear Parabolic Equations,” SIAM Journal on Scientific Computing, vol. 40, no. 3, pp. C283–C304, 2018 [Online]. Available at: https://doi.org/10.1137/16M108985X
    @article{DyjaEtal2018,
      author = {Dyja, Robert and Ganapathysubramanian, Baskar and van der Zee, Kristoffer G.},
      doi = {10.1137/16M108985X},
      journal = {SIAM Journal on Scientific Computing},
      number = {3},
      pages = {C283--C304},
      title = {Parallel-In-Space-Time, Adaptive Finite Element Framework for Nonlinear Parabolic Equations},
      url = {https://doi.org/10.1137/16M108985X},
      volume = {40},
      year = {2018}
    }
    
  9. L. Fischer, S. Götschel, and M. Weiser, “Lossy data compression reduces communication time in hybrid time-parallel integrators,” Computing and Visualization in Science, vol. 19, no. 1, pp. 19–30, 2018 [Online]. Available at: https://doi.org/10.1007/s00791-018-0293-2
    @article{FischerEtAl2018,
      author = {Fischer, L. and G\"otschel, S. and Weiser, M.},
      doi = {10.1007/s00791-018-0293-2},
      journal = {Computing and Visualization in Science},
      number = {1},
      pages = {19--30},
      title = {Lossy data compression reduces communication time in hybrid time-parallel integrators},
      url = {https://doi.org/10.1007/s00791-018-0293-2},
      volume = {19},
      year = {2018}
    }
    
  10. S. R. Franco, F. J. Gaspar, M. A. V. Pinto, and C. Rodrigo, “Multigrid method based on a space-time approach with standard coarsening for parabolic problems,” Applied Mathematics and Computation, vol. 317, no. Supplement C, pp. 25–34, 2018 [Online]. Available at: https://doi.org/10.1016/j.amc.2017.08.043
    @article{FrancoEtAl2018,
      author = {Franco, Sebasti\~{a}o Romero and Gaspar, Francisco Jos\'{e} and Pinto, Marcio Augusto Villela and Rodrigo, Carmen},
      doi = {10.1016/j.amc.2017.08.043},
      journal = {Applied Mathematics and Computation},
      number = {Supplement C},
      pages = {25--34},
      title = {Multigrid method based on a space-time approach with standard coarsening for parabolic problems},
      url = {https://doi.org/10.1016/j.amc.2017.08.043},
      volume = {317},
      year = {2018}
    }
    
  11. S. R. Franco, C. Rodrigo, F. J. Gaspar, and M. A. V. Pinto, “A multigrid waveform relaxation method for solving the poroelasticity equations,” Computational and Applied Mathematics, pp. 1–16, 2018 [Online]. Available at: https://doi.org/10.1007/s40314-018-0603-9
    @article{FrancoEtAl2018a,
      author = {Franco, Sebasti\~{a}o Romero and Rodrigo, Carmen and Gaspar, Francisco Jos\'{e} and Pinto, Marcio Augusto Villela},
      doi = {10.1007/s40314-018-0603-9},
      journal = {Computational and Applied Mathematics},
      pages = {1--16},
      title = {A multigrid waveform relaxation method for solving the poroelasticity equations},
      url = {https://doi.org/10.1007/s40314-018-0603-9},
      year = {2018}
    }
    
  12. H. Fu and H. Wang, “A Preconditioned Fast Parareal Finite Difference Method for Space-Time Fractional Partial Differential Equation,” Journal of Scientific Computing, 2018 [Online]. Available at: https://doi.org/10.1007/s10915-018-0835-2
    @article{FuWang2018,
      author = {Fu, Hongfei and Wang, Hong},
      doi = {10.1007/s10915-018-0835-2},
      journal = {Journal of Scientific Computing},
      title = {A Preconditioned Fast Parareal Finite Difference Method for Space-Time Fractional Partial Differential Equation},
      url = {https://doi.org/10.1007/s10915-018-0835-2},
      year = {2018}
    }
    
  13. M. J. Gander, S. Güttel, and M. Petcu, “A Nonlinear ParaExp Algorithm,” in Lecture Notes in Computational Science and Engineering, Springer International Publishing, 2018, pp. 261–270 [Online]. Available at: https://doi.org/10.1007/978-3-319-93873-8_24
    @incollection{GanderEtAl2018,
      author = {Gander, Martin J. and Güttel, Stefan and Petcu, Madalina},
      booktitle = {Lecture Notes in Computational Science and Engineering},
      doi = {10.1007/978-3-319-93873-8_24},
      pages = {261--270},
      publisher = {Springer International Publishing},
      title = {A Nonlinear {ParaExp} Algorithm},
      url = {https://doi.org/10.1007/978-3-319-93873-8_24},
      year = {2018}
    }
    
  14. M. J. Gander, F. Kwok, and H. Zhang, “Multigrid interpretations of the parareal algorithm leading to an overlapping variant and MGRIT,” Computing and Visualization in Science, 2018 [Online]. Available at: https://doi.org/10.1007/s00791-018-0297-y
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      author = {Yue, X.~Q. and Shu, S. and Xu, X.~W. and Bu, W.~P. and Pan, K.~J.},
      howpublished = {arXiv:1805.06688 [math.NA]},
      title = {Parallel-in-Time with Fully Finite Element Multigrid for 2-D Space-fractional Diffusion Equations},
      url = {https://arxiv.org/abs/1805.06688v1},
      year = {2018}
    }
    
  49. S. Zhu and S. Weng, “A parallel spectral deferred correction method for first-order evolution problems,” BIT Numerical Mathematics, pp. 1–28, 2018 [Online]. Available at: https://doi.org/10.1007/s10543-018-0702-4
    @article{ZhuWeng2018,
      author = {Zhu, Shuai and Weng, Shilie},
      doi = {10.1007/s10543-018-0702-4},
      journal = {BIT Numerical Mathematics},
      pages = {1--28},
      title = {A parallel spectral deferred correction method for first-order evolution problems},
      url = {https://doi.org/10.1007/s10543-018-0702-4},
      year = {2018}
    }
    
top

2017

  1. G. Ariel, H. Nguyen, and R. Tsai, “θ-parareal schemes,” arXiv:1704.06882 [math.NA], 2017 [Online]. Available at: https://arxiv.org/abs/1704.06882
    @unpublished{ArielEtAl2017,
      author = {Ariel, Gil and Nguyen, Hieu and Tsai, Richard},
      howpublished = {arXiv:1704.06882 [math.NA]},
      title = {$\theta$-parareal schemes},
      url = {https://arxiv.org/abs/1704.06882},
      year = {2017}
    }
    
  2. S. Badia and M. Olm, “Space-Time Balancing Domain Decomposition,” SIAM Journal on Scientific Computing, vol. 39, no. 2, pp. C194–C213, 2017 [Online]. Available at: https://doi.org/10.1137/16M1074266
    @article{BadiaEtAl2017,
      author = {Badia, Santiago and Olm, Marc},
      doi = {10.1137/16M1074266},
      journal = {SIAM Journal on Scientific Computing},
      number = {2},
      pages = {C194--C213},
      title = {Space-Time Balancing Domain Decomposition},
      url = {https://doi.org/10.1137/16M1074266},
      volume = {39},
      year = {2017}
    }
    
  3. P. Belliveau and E. Haber, “Coupled simulation of electromagnetic induction and IP effects using stretched exponential relaxation,” Geophysics, pp. 1–61, 2017 [Online]. Available at: https://doi.org/10.1190/geo2017-0494.1
    @article{BelliveauHaber2017,
      author = {Belliveau, Patrick and Haber, Eldad},
      doi = {10.1190/geo2017-0494.1},
      journal = {Geophysics},
      pages = {1-–61},
      title = {Coupled simulation of electromagnetic induction and {IP} effects using stretched exponential relaxation},
      url = {https://doi.org/10.1190/geo2017-0494.1},
      year = {2017}
    }
    
  4. E. Blayo, A. Rousseau, and M. Tayachi, “Boundary conditions and Schwarz waveform relaxation method for linear viscous Shallow Water equations in hydrodynamics,” The SMAI journal of computational mathematics, vol. 3, pp. 117–137, 2017 [Online]. Available at: https://smai-jcm.centre-mersenne.org/item/SMAI-JCM_2017__3__117_0
    @article{BlayoEtAl2017,
      author = {Blayo, Eric and Rousseau, Antoine and Tayachi, Manel},
      doi = {10.5802/smai-jcm.22},
      journal = {The SMAI journal of computational mathematics},
      language = {en},
      pages = {117-137},
      publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
      title = {Boundary conditions and Schwarz waveform relaxation method for linear viscous Shallow Water equations in hydrodynamics},
      url = {https://smai-jcm.centre-mersenne.org/item/SMAI-JCM_2017__3__117_0},
      volume = {3},
      year = {2017}
    }
    
  5. M. Bolten, D. Moser, and R. Speck, “A multigrid perspective on the parallel full approximation scheme in space and time,” Numerical Linear Algebra with Applications, vol. 24, no. 6, p. e2110, 2017 [Online]. Available at: https://dx.doi.org/10.1002/nla.2110
    @article{BoltenEtAl2017,
      author = {Bolten, Matthias and Moser, Dieter and Speck, Robert},
      doi = {10.1002/nla.2110},
      journal = {Numerical Linear Algebra with Applications},
      number = {6},
      pages = {e2110},
      title = {A multigrid perspective on the parallel full approximation scheme in space and time},
      url = {https://dx.doi.org/10.1002/nla.2110},
      volume = {24},
      year = {2017}
    }
    
  6. V. A. Dobrev, T. Kolev, N. A. Petersson, and J. B. Schroder, “Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT),” SIAM Journal on Scientific Computing, vol. 39, no. 5, pp. S501–S527, 2017 [Online]. Available at: https://doi.org/10.1137/16M1074096
    @article{DobrevEtAl2017,
      author = {Dobrev, V.~A. and Kolev, Tz. and Petersson, N.~A. and Schroder, J.~B.},
      doi = {10.1137/16M1074096},
      journal = {SIAM Journal on Scientific Computing},
      number = {5},
      pages = {S501--S527},
      title = {Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT)},
      url = {https://doi.org/10.1137/16M1074096},
      volume = {39},
      year = {2017}
    }
    
  7. R. D. Falgout, T. A. Manteuffel, B. O’Neill, and J. B. Schroder, “Multigrid Reduction in Time for Nonlinear Parabolic Problems: A Case Study,” SIAM Journal on Scientific Computing, vol. 39, no. 5, pp. S298–S322, 2017 [Online]. Available at: https://doi.org/10.1137/16M1082330
    @article{FalgoutEtAl2017,
      author = {Falgout, R.~D. and Manteuffel, T.~A. and O'Neill, B. and Schroder, J.~B.},
      doi = {10.1137/16M1082330},
      journal = {SIAM Journal on Scientific Computing},
      number = {5},
      pages = {S298--S322},
      title = {Multigrid Reduction in Time for Nonlinear Parabolic Problems: A Case Study},
      url = {https://doi.org/10.1137/16M1082330},
      volume = {39},
      year = {2017}
    }
    
  8. R. D. Falgout, S. Friedhoff, T. V. Kolev, S. P. MacLachlan, J. B. Schroder, and S. Vandewalle, “Multigrid methods with space–time concurrency,” Computing and Visualization in Science, vol. 18, no. 4, pp. 123–143, 2017 [Online]. Available at: https://doi.org/10.1007/s00791-017-0283-9
    @article{FalgoutEtAl2017b,
      author = {Falgout, R.~D. and Friedhoff, S. and Kolev, Tz.~V. and MacLachlan, S. P. and Schroder, J.~B. and Vandewalle, S.},
      doi = {10.1007/s00791-017-0283-9},
      journal = {Computing and Visualization in Science},
      number = {4},
      pages = {123--143},
      title = {Multigrid methods with space--time concurrency},
      url = {https://doi.org/10.1007/s00791-017-0283-9},
      volume = {18},
      year = {2017}
    }
    
  9. M. J. Gander and L. Halpern, “Time Parallelization for Nonlinear Problems Based on Diagonalization,” in Domain Decomposition Methods in Science and Engineering XXIII, 2017, pp. 163–170 [Online]. Available at: https://doi.org/10.1007/978-3-319-52389-7_15
    @inproceedings{GanderHalpern2017,
      author = {Gander, Martin J. and Halpern, Laurence},
      booktitle = {Domain Decomposition Methods in Science and Engineering {XXIII}},
      doi = {10.1007/978-3-319-52389-7_15},
      editor = {Lee, Chang-Ock and Cai, Xiao-Chuan and Keyes, David E. and Kim, Hyea Hyun and Klawonn, Axel and Park, Eun-Jae and Widlund, Olof B.},
      pages = {163--170},
      publisher = {Springer International Publishing},
      title = {Time Parallelization for Nonlinear Problems Based on Diagonalization},
      url = {https://doi.org/10.1007/978-3-319-52389-7_15},
      year = {2017}
    }
    
  10. F. J. Gaspar and C. Rodrigo, “Multigrid Waveform Relaxation for the Time-Fractional Heat Equation,” SIAM Journal on Scientific Computing, vol. 39, no. 4, pp. A1201–A1224, 2017 [Online]. Available at: https://doi.org/10.1137/16M1090193
    @article{GasparRodrigo2017,
      author = {Gaspar, Francisco J. and Rodrigo, Carmen},
      doi = {10.1137/16M1090193},
      journal = {SIAM Journal on Scientific Computing},
      number = {4},
      pages = {A1201--A1224},
      title = {Multigrid Waveform Relaxation for the Time-Fractional Heat Equation},
      url = {https://doi.org/10.1137/16M1090193},
      volume = {39},
      year = {2017}
    }
    
  11. S. Han and O. A. Bauchau, “Parallel Time-Integration of Flexible Multibody Dynamics Based on Newton-Waveform Method,” in 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, 2017, vol. 6 [Online]. Available at: https://dx.doi.org/10.1115/DETC2017-68232
    @inproceedings{HanEtAl2017,
      author = {Han, Shilei and Bauchau, Olivier A.},
      booktitle = {13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control},
      doi = {10.1115/DETC2017-68232},
      title = {Parallel Time-Integration of Flexible Multibody Dynamics Based on Newton-Waveform Method},
      url = {https://dx.doi.org/10.1115/DETC2017-68232},
      volume = {6},
      year = {2017}
    }
    
  12. A. J. M. Howse, “Nonlinear Preconditioning Methods for Optimization and Parallel-In-Time Methods for 1D Scalar Hyperbolic Partial Differential Equations,” PhD thesis, UWSpace, 2017 [Online]. Available at: http://hdl.handle.net/10012/12559
    @phdthesis{Howse2017,
      author = {Howse, Alexander James Maxwell},
      publisher = {UWSpace},
      title = {Nonlinear Preconditioning Methods for Optimization and Parallel-In-Time Methods for 1D Scalar Hyperbolic Partial Differential Equations},
      url = {http://hdl.handle.net/10012/12559},
      year = {2017}
    }
    
  13. J. Jansson and J. Hoffman, “Direct FEM parallel-in-time computation of turbulent flow,” 2017 [Online]. Available at: http://www.csc.kth.se/ jjan/publications/pit_preprint_2017-08-09.pdf
    @unpublished{JanssonEtAl2017,
      author = {Jansson, Johan and Hoffman, Johan},
      howpublished. = {KTH Preprint},
      title = {Direct FEM parallel-in-time computation of turbulent flow},
      url = {http://www.csc.kth.se/~jjan/publications/pit_preprint_2017-08-09.pdf},
      year = {2017}
    }
    
  14. G. L. Kooij, M. A. Botchev, and B. J. Geurts, “A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations,” Journal of Computational and Applied Mathematics, vol. 316, pp. 229–246, 2017 [Online]. Available at: http://dx.doi.org/10.1016/j.cam.2016.09.036
    @article{KooijEtAl2017,
      author = {Kooij, G.L. and Botchev, M.A. and Geurts, B.J.},
      doi = {10.1016/j.cam.2016.09.036},
      journal = {Journal of Computational and Applied Mathematics},
      note = {Selected Papers from NUMDIFF-14},
      pages = {229--246},
      title = {A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations},
      url = {http://dx.doi.org/10.1016/j.cam.2016.09.036},
      volume = {316},
      year = {2017}
    }
    
  15. A. Kreienbuehl, P. Benedusi, D. Ruprecht, and R. Krause, “Time-parallel gravitational collapse simulation,” Communications in Applied Mathematics and Computational Science, vol. 12, no. 1, pp. 109–128, 2017 [Online]. Available at: http://dx.doi.org/10.2140/camcos.2017.12.109
    @article{KreienbuehlEtAl2017,
      author = {Kreienbuehl, Andreas and Benedusi, Pietro and Ruprecht, Daniel and Krause, Rolf},
      doi = {10.2140/camcos.2017.12.109},
      issue = {1},
      journal = {Communications in Applied Mathematics and Computational Science},
      pages = {109--128},
      title = {Time-parallel gravitational collapse simulation},
      url = {http://dx.doi.org/10.2140/camcos.2017.12.109},
      volume = {12},
      year = {2017}
    }
    
  16. T. M. Masthay and S. Perugini, “Parareal Algorithm Implementation and Simulation in Julia,” arXiv:1706.08569v1 [cs.MS], 2017 [Online]. Available at: https://arxiv.org/pdf/1706.08569.pdf
    @unpublished{MasthayEtAl2017,
      author = {Masthay, Tyler M. and Perugini, Saverio},
      howpublished = {arXiv:1706.08569v1 [cs.MS]},
      title = {Parareal Algorithm Implementation and Simulation in Julia},
      url = {https://arxiv.org/pdf/1706.08569.pdf},
      year = {2017}
    }
    
  17. M. Merkel, I. Niyonzima, and S. Schöps, “ParaExp Using Leapfrog as Integrator for High-Frequency Electromagnetic Simulations,” Radio Science, vol. 52, no. 12, pp. 1558–1569, 2017 [Online]. Available at: https://dx.doi.org/10.1002/2017RS006357
    @article{MerkelEtAl2017,
      author = {Merkel, Melina and Niyonzima, Innocent and Schöps, Sebastian},
      doi = {10.1002/2017RS006357},
      journal = {Radio Science},
      number = {12},
      pages = {1558--1569},
      title = {ParaExp Using Leapfrog as Integrator for High-Frequency Electromagnetic Simulations},
      url = {https://dx.doi.org/10.1002/2017RS006357},
      volume = {52},
      year = {2017}
    }
    
  18. W. Pazner and P.-O. Persson, “Stage-parallel fully implicit Runge–Kutta solvers for discontinuous Galerkin fluid simulations,” Journal of Computational Physics, vol. 335, pp. 700–717, 2017 [Online]. Available at: https://doi.org/10.1016/j.jcp.2017.01.050
    @article{Pazner2017700,
      author = {Pazner, Will and Persson, Per-Olof},
      doi = {10.1016/j.jcp.2017.01.050},
      journal = {Journal of Computational Physics},
      pages = {700--717},
      title = {{Stage-parallel fully implicit Runge–Kutta solvers for discontinuous Galerkin fluid simulations}},
      url = {https://doi.org/10.1016/j.jcp.2017.01.050},
      volume = {335},
      year = {2017}
    }
    
  19. D. Perez, R. Huang, and A. F. Voter, “Long-time molecular dynamics simulations on massively parallel platforms: A comparison of parallel replica dynamics and parallel trajectory splicing,” Journal of Materials Research, pp. 1–10, 2017 [Online]. Available at: https://dx.doi.org/10.1557/jmr.2017.456
    @article{PerezEtAl2017,
      author = {Perez, Danny and Huang, Rao and Voter, Arthur F.},
      doi = {10.1557/jmr.2017.456},
      journal = {Journal of Materials Research},
      pages = {1-–10},
      title = {Long-time molecular dynamics simulations on massively parallel platforms: A comparison of parallel replica dynamics and parallel trajectory splicing},
      url = {https://dx.doi.org/10.1557/jmr.2017.456},
      year = {2017}
    }
    
  20. D. Ruprecht, “Shared Memory Pipelined Parareal,” in Euro-Par 2017: Parallel Processing: 23rd International Conference on Parallel and Distributed Computing, Santiago de Compostela, Spain, August 28 – September 1, 2017, Proceedings, F. F. Rivera, T. F. Pena, and J. C. Cabaleiro, Eds. Springer International Publishing, 2017, pp. 669–681 [Online]. Available at: https://doi.org/10.1007/978-3-319-64203-1_48
    @inbook{Ruprecht2017_lncs,
      author = {Ruprecht, Daniel},
      booktitle = {Euro-Par 2017: Parallel Processing: 23rd International Conference on Parallel and Distributed Computing, Santiago de Compostela, Spain, August 28 -- September 1, 2017, Proceedings},
      doi = {10.1007/978-3-319-64203-1_48},
      editor = {Rivera, Francisco F. and Pena, Tom{\'a}s F. and Cabaleiro, Jos{\'e} C.},
      pages = {669--681},
      publisher = {Springer International Publishing},
      title = {Shared Memory Pipelined Parareal},
      url = {https://doi.org/10.1007/978-3-319-64203-1_48},
      year = {2017}
    }
    
  21. R. Speck and D. Ruprecht, “Toward fault-tolerant parallel-in-time integration with PFASST ,” Parallel Computing, vol. 62, pp. 20–37, 2017 [Online]. Available at: http://dx.doi.org/10.1016/j.parco.2016.12.001
    @article{SpeckRuprecht2017,
      author = {Speck, Robert and Ruprecht, Daniel},
      doi = {10.1016/j.parco.2016.12.001},
      journal = {Parallel Computing},
      pages = {20--37},
      title = {Toward fault-tolerant parallel-in-time integration with {PFASST} },
      url = {http://dx.doi.org/10.1016/j.parco.2016.12.001},
      volume = {62},
      year = {2017}
    }
    
  22. S. Wang and Z. Peng, “Space-time parallel computation for time-domain Maxwell’s equations,” in 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2017, pp. 1680–1683 [Online]. Available at: http://ieeexplore.ieee.org/document/8065615/
    @inproceedings{WangPeng2017,
      author = {Wang, S. and Peng, Z.},
      booktitle = {2017 International Conference on Electromagnetics in Advanced Applications (ICEAA)},
      doi = {10.1109/ICEAA.2017.8065615},
      month = sep,
      number = {},
      pages = {1680--1683},
      title = {Space-time parallel computation for time-domain Maxwell's equations},
      url = {http://ieeexplore.ieee.org/document/8065615/},
      volume = {},
      year = {2017}
    }
    
  23. S.-L. Wu, “Three rapidly convergent parareal solvers with application to time-dependent PDEs with fractional Laplacian,” Mathematical Methods in the Applied Sciences, 2017 [Online]. Available at: http://dx.doi.org/10.1002/mma.4273
    @article{Wu2017,
      author = {Wu, Shu-Lin},
      doi = {10.1002/mma.4273},
      journal = {Mathematical Methods in the Applied Sciences},
      title = {Three rapidly convergent parareal solvers with application to time-dependent PDEs with fractional Laplacian},
      url = {http://dx.doi.org/10.1002/mma.4273},
      year = {2017}
    }
    
  24. S.-L. Wu, “An efficient parareal algorithm for a class of time-dependent problems with fractional Laplacian,” Applied Mathematics and Computation, vol. 307, pp. 329–341, 2017 [Online]. Available at: http://dx.doi.org/10.1016/j.amc.2017.02.012
    @article{Wu2017b,
      author = {Wu, Shu-Lin},
      doi = {10.1016/j.amc.2017.02.012},
      journal = {Applied Mathematics and Computation},
      pages = {329--341},
      title = {An efficient parareal algorithm for a class of time-dependent problems with fractional Laplacian},
      url = {http://dx.doi.org/10.1016/j.amc.2017.02.012},
      volume = {307},
      year = {2017}
    }
    
  25. S.-L. Wu and T.-Z. Huang, “A fast second-order parareal solver for fractional optimal control problems,” Journal of Vibration and Control, vol. 0, no. 0, p. 1077546317705557, 2017 [Online]. Available at: http://dx.doi.org/10.1177/1077546317705557
    @article{WuEtAl2017,
      author = {Wu, Shu-Lin and Huang, Ting-Zhu},
      doi = {10.1177/1077546317705557},
      journal = {Journal of Vibration and Control},
      number = {0},
      pages = {1077546317705557},
      title = {A fast second-order parareal solver for fractional optimal control problems},
      url = {http://dx.doi.org/10.1177/1077546317705557},
      volume = {0},
      year = {2017}
    }
    
top

2016

  1. M. Alhubail and Q. Wang, “The swept rule for breaking the latency barrier in time advancing PDEs,” Journal of Computational Physics, vol. 307, pp. 110–121, 2016 [Online]. Available at: http://dx.doi.org/10.1016/j.jcp.2015.11.026
    @article{AlhubailEtAl2016,
      author = {Alhubail, Maitham and Wang, Qiqi},
      doi = {10.1016/j.jcp.2015.11.026},
      journal = {Journal of Computational Physics},
      pages = {110--121},
      title = {The swept rule for breaking the latency barrier in time advancing {PDEs}},
      url = {http://dx.doi.org/10.1016/j.jcp.2015.11.026},
      volume = {307},
      year = {2016}
    }
    
  2. G. Ariel, S. J. Kim, and R. Tsai, “Parareal Multiscale Methods for Highly Oscillatory Dynamical Systems,” SIAM Journal on Scientific Computing, vol. 38, no. 6, pp. A3540–A3564, Jan. 2016 [Online]. Available at: https://doi.org/10.1137/15m1011044
    @article{ArielEtAl2016,
      author = {Ariel, Gil and Kim, Seong Jun and Tsai, Richard},
      doi = {10.1137/15m1011044},
      journal = {{SIAM} Journal on Scientific Computing},
      month = jan,
      number = {6},
      pages = {A3540--A3564},
      publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
      title = {Parareal Multiscale Methods for Highly Oscillatory Dynamical Systems},
      url = {https://doi.org/10.1137/15m1011044},
      volume = {38},
      year = {2016}
    }
    
  3. M. Astorino, F. Chouly, and A. Quarteroni, “A Time-Parallel Framework for Coupling Finite Element and Lattice Boltzmann Methods,” Applied Mathematics Research eXpress, vol. 2016, no. 1, pp. 24–67, 2016 [Online]. Available at: http://dx.doi.org/10.1093/amrx/abv009
    @article{Astorino2016,
      author = {Astorino, Matteo and Chouly, Franz and Quarteroni, Alfio},
      doi = {10.1093/amrx/abv009},
      journal = {Applied Mathematics Research eXpress},
      number = {1},
      pages = {24--67},
      title = {A Time-Parallel Framework for Coupling Finite Element and Lattice Boltzmann Methods},
      url = {http://dx.doi.org/10.1093/amrx/abv009},
      volume = {2016},
      year = {2016}
    }
    
  4. T. Beck, “In-Time Parallelization Of Atmospheric Chemical Kinetics,” PhD thesis, Ruprecht-Karls-Universität Heidelberg, 2016 [Online]. Available at: http://archiv.ub.uni-heidelberg.de/volltextserver/20092/1/TBeck_Phd_a.pdf
    @phdthesis{Beck2016,
      author = {Beck, Teresa},
      school = {Ruprecht-Karls-Universit\"{a}t Heidelberg},
      title = {In-Time Parallelization Of Atmospheric Chemical Kinetics},
      url = {http://archiv.ub.uni-heidelberg.de/volltextserver/20092/1/TBeck_Phd_a.pdf},
      year = {2016}
    }
    
  5. P. Benedusi, D. Hupp, P. Arbenz, and R. Krause, “A Parallel Multigrid Solver for Time–periodic Incompressible Navier–Stokes Equations in 3D,” in Numerical Mathematics and Advanced Applications ENUMATH 2015, 2016, pp. 265–273 [Online]. Available at: https://doi.org/10.1007/978-3-319-39929-4_26
    @inproceedings{BenedusiEtAl2016,
      author = {Benedusi, P. and Hupp, D. and Arbenz, P. and Krause, R.},
      booktitle = {Numerical Mathematics and Advanced Applications ENUMATH 2015},
      doi = {10.1007/978-3-319-39929-4_26},
      organization = {Springer},
      pages = {265--273},
      title = {{A Parallel Multigrid Solver for Time--periodic Incompressible Navier--Stokes Equations in 3D}},
      url = {https://doi.org/10.1007/978-3-319-39929-4_26},
      year = {2016}
    }
    
  6. J. H. Chaudhry, D. Estep, S. Tavener, V. Carey, and J. Sandelin, “A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm,” SIAM Journal on Numerical Analysis, vol. 54, no. 5, pp. 2974–3002, 2016 [Online]. Available at: http://dx.doi.org/10.1137/16M1079014
    @article{ChaudryEtAl2016,
      author = {Chaudhry, Jehanzeb Hameed and Estep, Don and Tavener, Simon and Carey, Varis and Sandelin, Jeff},
      doi = {10.1137/16M1079014},
      journal = {SIAM Journal on Numerical Analysis},
      number = {5},
      pages = {2974--3002},
      title = {A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm},
      url = {http://dx.doi.org/10.1137/16M1079014},
      volume = {54},
      year = {2016}
    }
    
  7. F. De Vuyst, “Efficient solvers for time-dependent problems: a review of IMEX, LATIN, PARAEXP and PARAREAL algorithms for heat-type problems with potential use of approximate exponential integrators and reduced-order models,” Advanced Modeling and Simulation in Engineering Sciences, pp. 3–8, 2016 [Online]. Available at: http://dx.doi.org/10.1186/s40323-016-0063-y
    @article{DeVuyst2016,
      author = {De Vuyst, Florian},
      doi = {10.1186/s40323-016-0063-y},
      journal = {Advanced Modeling and Simulation in Engineering Sciences},
      pages = {3--8},
      title = {Efficient solvers for time-dependent problems: a review of {IMEX}, {LATIN}, {PARAEXP} and {PARAREAL} algorithms for heat-type problems with potential use of approximate exponential integrators and reduced-order models},
      url = {http://dx.doi.org/10.1186/s40323-016-0063-y},
      year = {2016}
    }
    
  8. A. Eghbal, A. G. Gerber, and E. Aubanel, “Acceleration of Unsteady Hydrodynamic Simulations Using the Parareal Algorithm,” Journal of Computational Science , vol. 19, pp. 57–76, 2016 [Online]. Available at: http://dx.doi.org/10.1016/j.jocs.2016.12.006
    @article{EghbalEtAl2016,
      author = {Eghbal, Araz and Gerber, Andrew G. and Aubanel, Eric},
      doi = {10.1016/j.jocs.2016.12.006},
      journal = {Journal of Computational Science },
      pages = {57--76},
      title = {Acceleration of Unsteady Hydrodynamic Simulations Using the Parareal Algorithm},
      url = {http://dx.doi.org/10.1016/j.jocs.2016.12.006},
      volume = {19},
      year = {2016}
    }
    
  9. R. D. Falgout, T. A. Manteuffel, B. Southworth, and J. B. Schroder, “Parallel-In-Time For Moving Meshes,” Lawrence Livermore National Laboratory, 2016 [Online]. Available at: http://www.osti.gov/scitech/servlets/purl/1239230
    @techreport{FalgoutEtAl2016,
      author = {Falgout, R.~D. and Manteuffel, T.~A. and Southworth, B. and Schroder, J. B.},
      doi = {10.2172/1239230},
      institution = {Lawrence Livermore National Laboratory},
      title = {Parallel-In-Time For Moving Meshes},
      url = {http://www.osti.gov/scitech/servlets/purl/1239230},
      year = {2016}
    }
    
  10. H. Gahvari, V. A. Dobrev, R. D. Falgout, T. V. Kolev, J. B. Schroder, M. Schulz, and U. Meier Yang, “A Performance Model for Allocating the Parallelism in a Multigrid-in-Time Solver,” in 7th International Workshop on Performance Modeling, Benchmarking and Simulation of High Performance Computer Systems, 2016 [Online]. Available at: http://dx.doi.org/10.1109/PMBS.2016.8
    @inproceedings{GahvariEtAl2016,
      author = {Gahvari, Hormozd and Dobrev, Veselin A. and Falgout, Rob D. and Kolev, Tzanio V. and Schroder, Jacob B. and Schulz, Martin and {Meier Yang}, Ulrike},
      booktitle = {7th International Workshop on Performance Modeling, Benchmarking and Simulation of High Performance Computer Systems},
      doi = {10.1109/PMBS.2016.8},
      title = {A Performance Model for Allocating the Parallelism in a Multigrid-in-Time Solver},
      url = {http://dx.doi.org/10.1109/PMBS.2016.8},
      year = {2016}
    }
    
  11. M. J. Gander, L. Halpern, J. Ryan, and T. T. B. Tran, “A Direct Solver for Time Parallelization,” in Domain Decomposition Methods in Science and Engineering XXII, 2016, pp. 491–499 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-18827-0_50
    @inproceedings{GanderEtAl2016,
      author = {Gander, Martin J. and Halpern, Laurence and Ryan, Juliet and Tran, Thuy Thi Bich},
      booktitle = {Domain Decomposition Methods in Science and Engineering XXII},
      doi = {10.1007/978-3-319-18827-0_50},
      editor = {Dickopf, Thomas and Gander, Martin J. and Halpern, Laurence and Krause, Rolf and Pavarino, Luca F.},
      pages = {491--499},
      publisher = {Springer International Publishing},
      title = {{A Direct Solver for Time Parallelization}},
      url = {http://dx.doi.org/10.1007/978-3-319-18827-0_50},
      year = {2016}
    }
    
  12. R. GUETAT, “Coupling Parareal with Non-Overlapping Domain Decomposition Method,” Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, vol. Volume 23 - 2016 - Special..., Dec. 2016 [Online]. Available at: https://doi.org/10.46298/arima.1474
    @article{GUETAT2016,
      author = {GUETAT, Rim},
      doi = {10.46298/arima.1474},
      journal = {Revue Africaine de la Recherche en Informatique et Math{\'{e}}matiques Appliqu{\'{e}}es},
      month = dec,
      publisher = {Centre pour la Communication Scientifique Directe ({CCSD})},
      title = {Coupling Parareal with Non-Overlapping Domain Decomposition Method},
      url = {https://doi.org/10.46298/arima.1474},
      volume = {Volume 23 - 2016 - Special...},
      year = {2016}
    }
    
  13. G. Gurrala, A. Dimitrovski, S. Pannala, S. Simunovic, and M. Starke, “Parareal in Time for Fast Power System Dynamic Simulations,” IEEE Transactions on Power Systems, vol. 31, no. 3, pp. 1820–1830, 2016 [Online]. Available at: http://dx.doi.org/10.1109/TPWRS.2015.2434833
    @article{GurralaEtAl2016,
      author = {{Gurrala}, G. and {Dimitrovski}, A. and {Pannala}, S. and {Simunovic}, S. and {Starke}, M.},
      doi = {10.1109/TPWRS.2015.2434833},
      journal = {IEEE Transactions on Power Systems},
      number = {3},
      pages = {1820--1830},
      title = {{Parareal in Time for Fast Power System Dynamic Simulations}},
      url = {http://dx.doi.org/10.1109/TPWRS.2015.2434833},
      volume = {31},
      year = {2016}
    }
    
  14. T. S. Haut, T. Babb, P. G. Martinsson, and B. A. Wingate, “A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator,” IMA Journal of Numerical Analysis, vol. 36, no. 2, pp. 688–716, 2016 [Online]. Available at: http://dx.doi.org/10.1093/imanum/drv021
    @article{Haut2016,
      author = {Haut, T.~S. and Babb, T. and Martinsson, P.~G. and Wingate, B.~A.},
      doi = {10.1093/imanum/drv021},
      journal = {IMA Journal of Numerical Analysis},
      number = {2},
      pages = {688--716},
      title = {A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator},
      url = {http://dx.doi.org/10.1093/imanum/drv021},
      volume = {36},
      year = {2016}
    }
    
  15. A. Lapin and A. Romanenko, “Udzawa-type iterative method with parareal preconditioner for a parabolic optimal control problem,” IOP Conference Series: Materials Science and Engineering, vol. 158, no. 1, p. 012059, 2016 [Online]. Available at: http://dx.doi.org/10.1088/1757-899X/158/1/012059
    @article{LapinEtAl2016,
      author = {Lapin, A and Romanenko, A},
      doi = {10.1088/1757-899X/158/1/012059},
      journal = {IOP Conference Series: Materials Science and Engineering},
      number = {1},
      pages = {012059},
      title = {Udzawa-type iterative method with parareal preconditioner for a parabolic optimal control problem},
      url = {http://dx.doi.org/10.1088/1757-899X/158/1/012059},
      volume = {158},
      year = {2016}
    }
    
  16. M. Lecouvez, R. D. Falgout, C. S. Woodward, and P. Top, “A parallel multigrid reduction in time method for power systems,” in 2016 IEEE Power and Energy Society General Meeting (PESGM), 2016, pp. 1–5 [Online]. Available at: https://dx.doi.org/10.1109/PESGM.2016.7741520
    @inproceedings{Lecouvez2016,
      author = {{Lecouvez}, M. and {Falgout}, R.~D. and {Woodward}, C.~S. and {Top}, P.},
      booktitle = {2016 IEEE Power and Energy Society General Meeting (PESGM)},
      doi = {10.1109/PESGM.2016.7741520},
      pages = {1--5},
      title = {A parallel multigrid reduction in time method for power systems},
      url = {https://dx.doi.org/10.1109/PESGM.2016.7741520},
      year = {2016}
    }
    
  17. C. Lederman, R. Martin, and J.-L. Cambier, “Time-parallel solutions to differential equations via functional optimization,” Computational and Applied Mathematics, pp. 1–25, 2016 [Online]. Available at: http://dx.doi.org/10.1007/s40314-016-0319-7
    @article{Lederman2016,
      author = {Lederman, C. and Martin, R. and Cambier, J.-L.},
      doi = {10.1007/s40314-016-0319-7},
      journal = {Computational and Applied Mathematics},
      pages = {1--25},
      title = {Time-parallel solutions to differential equations via functional optimization},
      url = {http://dx.doi.org/10.1007/s40314-016-0319-7},
      year = {2016}
    }
    
  18. J. I. Leffell, J. Sitaraman, V. K. Lakshminarayan, and A. M. Wissink, “Towards Efficient Parallel-in-Time Simulation of Periodic Flows,” in 54th AIAA Aerospace Sciences Meeting, 2016 [Online]. Available at: http://dx.doi.org/10.2514/6.2016-0066
    @inproceedings{LeffellEtAl2016,
      author = {Leffell, Joshua I. and Sitaraman, Jayanarayanan and Lakshminarayan, Vinod K. and Wissink, Andrew M.},
      booktitle = {54th AIAA Aerospace Sciences Meeting},
      doi = {10.2514/6.2016-0066},
      publisher = {American Institute of Aeronautics and Astronautics},
      title = {Towards Efficient Parallel-in-Time Simulation of Periodic Flows},
      url = {http://dx.doi.org/10.2514/6.2016-0066},
      year = {2016}
    }
    
  19. S. Matsuoka, H. Amano, K. Nakajima, K. Inoue, T. Kudoh, N. Maruyama, K. Taura, T. Iwashita, T. Katagiri, T. Hanawa, and T. Endo, “From FLOPS to BYTES: Disruptive Change in High-performance Computing Towards the Post-moore Era,” in Proceedings of the ACM International Conference on Computing Frontiers, New York, NY, USA, 2016, pp. 274–281 [Online]. Available at: http://dx.doi.org/10.1145/2903150.2906830
    @inproceedings{MatsuokaEtAl2016,
      address = {New York, NY, USA},
      author = {Matsuoka, Satoshi and Amano, Hideharu and Nakajima, Kengo and Inoue, Koji and Kudoh, Tomohiro and Maruyama, Naoya and Taura, Kenjiro and Iwashita, Takeshi and Katagiri, Takahiro and Hanawa, Toshihiro and Endo, Toshio},
      booktitle = {Proceedings of the ACM International Conference on Computing Frontiers},
      doi = {10.1145/2903150.2906830},
      location = {Como, Italy},
      numpages = {8},
      pages = {274--281},
      publisher = {ACM},
      series = {CF '16},
      title = {From FLOPS to BYTES: Disruptive Change in High-performance Computing Towards the Post-moore Era},
      url = {http://dx.doi.org/10.1145/2903150.2906830},
      year = {2016}
    }
    
  20. M. Merkel, I. Niyonzima, and S. Schöps, “An Application of ParaExp to Electromagnetic Wave Problems,” in Proceedings of 2016 URSI International Symposium on Electromagnetic Theory (EMTS), 2016 [Online]. Available at: https://doi.org/10.1109/URSI-EMTS.2016.7571330
    @inproceedings{MerkelEtAl2016,
      author = {Merkel, Melina and Niyonzima, Innocent and Schöps, Sebastian},
      booktitle = {Proceedings of 2016 URSI International Symposium on Electromagnetic Theory (EMTS)},
      doi = {10.1109/URSI-EMTS.2016.7571330},
      editor = {Sihvola, Ari},
      note = {arXiv:1607.00368 [math.NA]},
      publisher = {IEEE},
      title = {An Application of ParaExp to Electromagnetic Wave Problems},
      url = {https://doi.org/10.1109/URSI-EMTS.2016.7571330},
      year = {2016}
    }
    
  21. M. J. Gander and M. Neumüller, “Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems,” SIAM Journal on Scientific Computing, vol. 38, no. 4, pp. A2173–A2208, 2016 [Online]. Available at: http://dx.doi.org/10.1137/15M1046605
    @article{NeumuellerGander2016,
      author = {Gander, Martin J. and Neum\"uller, Martin},
      doi = {10.1137/15M1046605},
      journal = {SIAM Journal on Scientific Computing},
      number = {4},
      pages = {A2173--A2208},
      title = {Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems},
      url = {http://dx.doi.org/10.1137/15M1046605},
      volume = {38},
      year = {2016}
    }
    
  22. A. S. Nielsen and J. S. Hesthaven, “Fault Tolerance in the Parareal Method,” in Proceedings of the ACM Workshop on Fault-Tolerance for HPC at Extreme Scale, New York, NY, USA, 2016, pp. 1–8 [Online]. Available at: http://dx.doi.org/10.1145/2909428.2909431
    @inproceedings{NielsenHesthaven2016,
      acmid = {2909431},
      address = {New York, NY, USA},
      author = {Nielsen, Allan S. and Hesthaven, Jan S.},
      booktitle = {Proceedings of the ACM Workshop on Fault-Tolerance for HPC at Extreme Scale},
      doi = {10.1145/2909428.2909431},
      isbn = {978-1-4503-4349-7},
      location = {Kyoto, Japan},
      numpages = {8},
      pages = {1--8},
      publisher = {ACM},
      series = {FTXS '16},
      title = {Fault Tolerance in the Parareal Method},
      url = {http://dx.doi.org/10.1145/2909428.2909431},
      year = {2016}
    }
    
  23. B. W. Ong, R. D. Haynes, and K. Ladd, “Algorithm 965: RIDC Methods: A Family of Parallel Time Integrators,” ACM Trans. Math. Softw., vol. 43, no. 1, pp. 8:1–8:13, 2016 [Online]. Available at: http://dx.doi.org/10.1145/2964377
    @article{OngEtAl2016,
      articleno = {8},
      author = {Ong, Benjamin W. and Haynes, Ronald D. and Ladd, Kyle},
      doi = {10.1145/2964377},
      journal = {ACM Trans. Math. Softw.},
      number = {1},
      numpages = {13},
      pages = {8:1--8:13},
      title = {Algorithm 965: {RIDC} Methods: A Family of Parallel Time Integrators},
      url = {http://dx.doi.org/10.1145/2964377},
      volume = {43},
      year = {2016}
    }
    
  24. D. Ruprecht, R. Speck, and R. Krause, “Parareal for Diffusion Problems with Space- and Time-Dependent Coefficients,” in Domain Decomposition Methods in Science and Engineering XXII, 2016, pp. 371–378 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-18827-0_37
    @inproceedings{RuprechtEtAl2016,
      author = {Ruprecht, Daniel and Speck, Robert and Krause, Rolf},
      booktitle = {Domain Decomposition Methods in Science and Engineering {XXII}},
      doi = {10.1007/978-3-319-18827-0_37},
      editor = {Dickopf, Thomas and Gander, J. Martin and Halpern, Laurence and Krause, Rolf and Pavarino, F. Luca},
      pages = {371--378},
      publisher = {Springer International Publishing},
      title = {Parareal for Diffusion Problems with Space- and Time-Dependent Coefficients},
      url = {http://dx.doi.org/10.1007/978-3-319-18827-0_37},
      year = {2016}
    }
    
  25. T. Sekine, T. Tsuji, T. Oyama, F. Magoulès, and K. Uchida, “Speedup of parallel computing by parareal method in transient stability analysis of Japanese power system,” in 2016 IEEE Innovative Smart Grid Technologies - Asia (ISGT-Asia), 2016, pp. 1177–1182 [Online]. Available at: http://dx.doi.org/10.1109/ISGT-Asia.2016.7796552
    @inproceedings{SekineEtAl2016,
      author = {Sekine, T. and Tsuji, T. and Oyama, T. and Magoulès, F. and Uchida, K.},
      booktitle = {2016 IEEE Innovative Smart Grid Technologies - Asia (ISGT-Asia)},
      doi = {10.1109/ISGT-Asia.2016.7796552},
      pages = {1177--1182},
      title = {Speedup of parallel computing by parareal method in transient stability analysis of Japanese power system},
      url = {http://dx.doi.org/10.1109/ISGT-Asia.2016.7796552},
      year = {2016}
    }
    
  26. S.-L. Wu, “A second-order parareal algorithm for fractional PDEs,” Journal of Computational Physics, vol. 307, pp. 280–290, 2016 [Online]. Available at: http://dx.doi.org/10.1016/j.jcp.2015.12.007
    @article{Wu2016,
      author = {Wu, Shu-Lin},
      doi = {10.1016/j.jcp.2015.12.007},
      journal = {Journal of Computational Physics},
      pages = {280--290},
      title = {A second-order parareal algorithm for fractional {PDEs}},
      url = {http://dx.doi.org/10.1016/j.jcp.2015.12.007},
      volume = {307},
      year = {2016}
    }
    
  27. S.-L. Wu, “Towards essential improvement for the Parareal-TR and Parareal-Gauss4 algorithms,” Journal of Computational and Applied Mathematics, vol. 308, pp. 391–407, 2016 [Online]. Available at: http://dx.doi.org/10.1016/j.cam.2016.05.036
    @article{Wu2016_JCAM,
      author = {Wu, Shu-Lin},
      doi = {10.1016/j.cam.2016.05.036},
      journal = {Journal of Computational and Applied Mathematics},
      pages = {391--407},
      title = {Towards essential improvement for the Parareal-TR and Parareal-Gauss4 algorithms},
      url = {http://dx.doi.org/10.1016/j.cam.2016.05.036},
      volume = {308},
      year = {2016}
    }
    
  28. S.-L. Wu, “Convergence Analysis of the Parareal-Euler Algorithm for Systems of ODEs with Complex Eigenvalues,” Journal of Scientific Computing, vol. 67, no. 2, pp. 644–668, 2016 [Online]. Available at: http://dx.doi.org/10.1007/s10915-015-0100-x
    @article{Wu2016_JSC,
      author = {Wu, Shu-Lin},
      doi = {10.1007/s10915-015-0100-x},
      journal = {Journal of Scientific Computing},
      number = {2},
      pages = {644--668},
      title = {Convergence Analysis of the Parareal-Euler Algorithm for Systems of ODEs with Complex Eigenvalues},
      url = {http://dx.doi.org/10.1007/s10915-015-0100-x},
      volume = {67},
      year = {2016}
    }
    
  29. S.-L. Wu and T. Zhou, “Fast parareal iterations for fractional diffusion equations,” Journal of Computational Physics, vol. 329, pp. 210–226, 2016 [Online]. Available at: http://dx.doi.org/10.1016/j.jcp.2016.10.046
    @article{WuZhou2016_JCP,
      author = {Wu, Shu-Lin and Zhou, Tao},
      doi = {10.1016/j.jcp.2016.10.046},
      journal = {Journal of Computational Physics},
      pages = {210--226},
      title = {Fast parareal iterations for fractional diffusion equations},
      url = {http://dx.doi.org/10.1016/j.jcp.2016.10.046},
      volume = {329},
      year = {2016}
    }
    
top

2015

  1. G. Ariel, S. J. Kim, and R. Tsai, “Parareal methods for highly oscillatory ordinary differential equations.” arXiv:1503.02094 [math.NA], 2015 [Online]. Available at: http://arxiv.org/abs/1503.02094v1
    @misc{Ariel2015,
      author = {Ariel, G. and Kim, Seong Jun and Tsai, Richard},
      howpublished = {arXiv:1503.02094 [math.NA]},
      title = {{Parareal methods for highly oscillatory ordinary differential equations}},
      url = {http://arxiv.org/abs/1503.02094v1},
      year = {2015}
    }
    
  2. A. Arteaga, D. Ruprecht, and R. Krause, “A stencil-based implementation of Parareal in the C++ domain specific embedded language STELLA,” Applied Mathematics and Computation, vol. 267, pp. 727–741, 2015 [Online]. Available at: http://dx.doi.org/10.1016/j.amc.2014.12.055
    @article{ArteagaEtAl2015,
      author = {Arteaga, A. and Ruprecht, Daniel and Krause, Rolf},
      doi = {10.1016/j.amc.2014.12.055},
      journal = {Applied Mathematics and Computation},
      pages = {727--741},
      title = {{A stencil-based implementation of Parareal in the {C++} domain specific embedded language {STELLA}}},
      url = {http://dx.doi.org/10.1016/j.amc.2014.12.055},
      volume = {267},
      year = {2015}
    }
    
  3. M. Bedez, Z. Belhachmi, O. Haeberlé, R. Greget, S. Moussaoui, J.-M. Bouteiller, and S. Bischoff, “A fully parallel in time and space algorithm for simulating the electrical activity of a neural tissue,” Journal of Neuroscience Methods, vol. 257, pp. 17–25, 2015 [Online]. Available at: http://dx.doi.org/10.1016/j.jneumeth.2015.09.017
    @article{Bedez2015,
      author = {Bedez, Mathieu and Belhachmi, Zakaria and Haeberl\'e, Olivier and Greget, Renaud and Moussaoui, Saliha and Bouteiller, Jean-Marie and Bischoff, Serge},
      doi = {10.1016/j.jneumeth.2015.09.017},
      journal = {{Journal of Neuroscience Methods}},
      note = {in press},
      pages = {17--25},
      title = {A fully parallel in time and space algorithm for simulating the electrical activity of a neural tissue},
      url = {http://dx.doi.org/10.1016/j.jneumeth.2015.09.017},
      volume = {257},
      year = {2015}
    }
    
  4. L. Carracciuolo, L. D’Amore, and V. Mele, “Toward a fully parallel multigrid in time algorithm in PETSc environment: A case study in ocean models,” in High Performance Computing Simulation (HPCS), 2015 International Conference on, 2015, pp. 595–598 [Online]. Available at: http://dx.doi.org/10.1109/HPCSim.2015.7237098
    @inproceedings{CarracciuoloEtAl2015,
      author = {Carracciuolo, L. and D'Amore, L. and Mele, V.},
      booktitle = {High Performance Computing Simulation (HPCS), 2015 International Conference on},
      doi = {10.1109/HPCSim.2015.7237098},
      pages = {595--598},
      title = {Toward a fully parallel multigrid in time algorithm in PETSc environment: A case study in ocean models},
      url = {http://dx.doi.org/10.1109/HPCSim.2015.7237098},
      year = {2015}
    }
    
  5. A. J. Christlieb, C. B. MacDonald, B. W. Ong, and R. J. Spiteri, “Revisionist integral deferred correction with adaptive step-size control,” Communications in Applied Mathematics and Computational Science, vol. 10, no. 1, pp. 1–25, 2015 [Online]. Available at: http://dx.doi.org/10.2140/camcos.2015.10.1
    @article{ChristliebEtAl2015,
      author = {Christlieb, Andrew J. and MacDonald, Colin B. and Ong, Benjamin W. and Spiteri, Raymond J.},
      doi = {10.2140/camcos.2015.10.1},
      issue = {1},
      journal = {Communications in Applied Mathematics and Computational Science},
      pages = {1--25},
      title = {Revisionist integral deferred correction with adaptive step-size control},
      url = {http://dx.doi.org/10.2140/camcos.2015.10.1},
      volume = {10},
      year = {2015}
    }
    
  6. F. Chen, J. S. Hesthaven, Y. Maday, and A. S. Nielsen, “An Adjoint Approach for Stabilizing the Parareal Method,” EPFL-ARTICLE-211097, 2015 [Online]. Available at: http://infoscience.epfl.ch/record/211097
    @unpublished{FengEtAl2015,
      author = {Chen, Feng and Hesthaven, Jan S. and Maday, Yvon and Nielsen, Allan S.},
      howpublished = {EPFL-ARTICLE-211097},
      title = {An Adjoint Approach for Stabilizing the Parareal Method},
      url = {http://infoscience.epfl.ch/record/211097},
      year = {2015}
    }
    
  7. M. J. Gander, “50 years of Time Parallel Time Integration,” in Multiple Shooting and Time Domain Decomposition, Springer, 2015 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-23321-5_3
    @incollection{Gander2015_Review,
      author = {Gander, Martin J.},
      booktitle = {Multiple Shooting and Time Domain Decomposition},
      doi = {10.1007/978-3-319-23321-5_3},
      editors = {Carraro, T. and Geiger, M. and K\"orkel, S. and Rannacher, R.},
      publisher = {Springer},
      title = {{50 years of Time Parallel Time Integration}},
      url = {http://dx.doi.org/10.1007/978-3-319-23321-5_3},
      year = {2015}
    }
    
  8. G. Gurrala, A. Dimitrovski, P. Sreekanth, S. Simunovic, and M. Starke, “Parareal in Time for Dynamic Simulations of Power Systems,” in Proceedings of the International Conference on Power Systems Transients (IPST2015) in Cavtat, Croatia June 15-18, 2015, 2015 [Online]. Available at: http://www.ipstconf.org/papers/Proc_IPST2015/15IPST073.pdf
    @inproceedings{GurralaEtAl2015,
      author = {Gurrala, Gurunath and Dimitrovski, Aleksandar and Sreekanth, Pannala and Simunovic, Srdjan and Starke, Michael},
      booktitle = {{Proceedings of the International Conference on Power Systems Transients (IPST2015) in Cavtat, Croatia June 15-18, 2015}},
      title = {{Parareal in Time for Dynamic Simulations of Power Systems}},
      url = {http://www.ipstconf.org/papers/Proc_IPST2015/15IPST073.pdf},
      year = {2015}
    }
    
  9. T. S. Haut, T. Babb, P. G. Martinsson, and B. A. Wingate, “A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator,” IMA Journal of Numerical Analysis, 2015 [Online]. Available at: http://dx.doi.org/10.1093/imanum/drv021
    @article{HautEtAl2015,
      author = {Haut, T.~S. and Babb, T. and Martinsson, P.~G. and Wingate, B.~A.},
      doi = {10.1093/imanum/drv021},
      journal = {IMA Journal of Numerical Analysis},
      title = {A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator},
      url = {http://dx.doi.org/10.1093/imanum/drv021},
      year = {2015}
    }
    
  10. A. Kreienbuehl, A. Naegel, D. Ruprecht, R. Speck, G. Wittum, and R. Krause, “Numerical simulation of skin transport using Parareal,” Computing and Visualization in Science, vol. 17, no. 2, pp. 99–108, 2015 [Online]. Available at: http://dx.doi.org/10.1007/s00791-015-0246-y
    @article{KreienbuehlEtAl2015,
      author = {Kreienbuehl, Andreas and Naegel, Arne and Ruprecht, Daniel and Speck, Robert and Wittum, Gabriel and Krause, Rolf},
      doi = {10.1007/s00791-015-0246-y},
      issue = {2},
      journal = {Computing and Visualization in Science},
      pages = {99--108},
      title = {{Numerical simulation of skin transport using Parareal}},
      url = {http://dx.doi.org/10.1007/s00791-015-0246-y},
      volume = {17},
      year = {2015}
    }
    
  11. M. L. Minion, R. Speck, M. Bolten, M. Emmett, and D. Ruprecht, “Interweaving PFASST and parallel multigrid,” SIAM Journal on Scientific Computing, vol. 37, no. 5, pp. S244–S263, 2015 [Online]. Available at: http://dx.doi.org/10.1137/14097536X
    @article{MinionEtAl2015,
      author = {Minion, Michael L. and Speck, Robert and Bolten, Matthias and Emmett, Matthew and Ruprecht, Daniel},
      doi = {10.1137/14097536X},
      issue = {5},
      journal = {{SIAM} Journal on Scientific Computing},
      pages = {S244--S263},
      title = {{Interweaving {PFASST} and parallel multigrid}},
      url = {http://dx.doi.org/10.1137/14097536X},
      volume = {37},
      year = {2015}
    }
    
  12. B. Ong, F. Kwok, and S. High, “Pipeline Schwarz Waveform Relaxation,” in Methods in Science and Engineering XXII, 2015.
    @inproceedings{OngEtAl2015,
      author = {Ong, Benjamin and Kwok, Felix and High, Scott},
      booktitle = {Methods in Science and Engineering XXII},
      publisher = {Spring--Verlag},
      series = {Lecture Notes in Computational Science and Engineering},
      title = {Pipeline Schwarz Waveform Relaxation},
      year = {2015}
    }
    
  13. D. Perez, E. D. Cubuk, A. Waterland, E. Kaxiras, and A. F. Voter, “Long-time dynamics through parallel trajectory splicing,” Journal of Chemical Theory and Computation, 2015 [Online]. Available at: http://dx.doi.org/10.1021/acs.jctc.5b00916
    @article{PerezEtAl2015,
      author = {Perez, Danny and Cubuk, Ekin Dogus and Waterland, Amos and Kaxiras, Efthimios and Voter, Arthur F.},
      doi = {10.1021/acs.jctc.5b00916},
      journal = {Journal of Chemical Theory and Computation},
      title = {Long-time dynamics through parallel trajectory splicing},
      url = {http://dx.doi.org/10.1021/acs.jctc.5b00916},
      year = {2015}
    }
    
  14. T. D. Scheibe, E. M. Murphy, X. Chen, A. K. Rice, K. C. Carroll, B. J. Palmer, A. M. Tartakovsky, I. Battiato, and B. D. Wood, “An Analysis Platform for Multiscale Hydrogeologic Modeling with Emphasis on Hybrid Multiscale Methods,” Groundwater, vol. 53, no. 1, pp. 38–56, 2015 [Online]. Available at: http://dx.doi.org/10.1111/gwat.12179
    @article{Scheibe2015,
      author = {Scheibe, Timothy D. and Murphy, Ellyn M. and Chen, Xingyuan and Rice, Amy K. and Carroll, Kenneth C. and Palmer, Bruce J. and Tartakovsky, Alexandre M. and Battiato, Ilenia and Wood, Brian D.},
      doi = {10.1111/gwat.12179},
      journal = {Groundwater},
      number = {1},
      pages = {38--56},
      title = {{An Analysis Platform for Multiscale Hydrogeologic Modeling with Emphasis on Hybrid Multiscale Methods}},
      url = {http://dx.doi.org/10.1111/gwat.12179},
      volume = {53},
      year = {2015}
    }
    
  15. M. Schreiber, A. Peddle, T. Haut, and B. Wingate, “A Decentralized Parallelization-in-Time Approach with Parareal,” arXiv:1506.05157 [cs.DC], 2015 [Online]. Available at: http://arxiv.org/abs/1506.05157
    @unpublished{SchreiberEtAl2015,
      author = {Schreiber, Martin and Peddle, Adam and Haut, Terry and Wingate, Beth},
      howpublished = {arXiv:1506.05157 [cs.DC]},
      title = {A Decentralized Parallelization-in-Time Approach with Parareal},
      url = {http://arxiv.org/abs/1506.05157},
      year = {2015}
    }
    
  16. B. Song and Y.-L. Jiang, “A new parareal waveform relaxation algorithm for time-periodic problems,” International Journal of Computer Mathematics, vol. 92, no. 2, pp. 377–393, 2015 [Online]. Available at: http://dx.doi.org/10.1080/00207160.2014.891734
    @article{Song2015,
      author = {Song, Bo and Jiang, Yao-Lin},
      doi = {10.1080/00207160.2014.891734},
      journal = {International Journal of Computer Mathematics},
      number = {2},
      pages = {377--393},
      title = {{A new parareal waveform relaxation algorithm for time-periodic problems}},
      url = {http://dx.doi.org/10.1080/00207160.2014.891734},
      volume = {92},
      year = {2015}
    }
    
  17. R. Speck, D. Ruprecht, M. Emmett, M. L. Minion, M. Bolten, and R. Krause, “A multi-level spectral deferred correction method,” BIT Numerical Mathematics, vol. 55, no. 3, pp. 843–867, 2015 [Online]. Available at: http://dx.doi.org/10.1007/s10543-014-0517-x
    @article{SpeckEtAl2015_BIT,
      author = {Speck, Robert and Ruprecht, Daniel and Emmett, Matthew and Minion, Michael L. and Bolten, Matthias and Krause, Rolf},
      doi = {10.1007/s10543-014-0517-x},
      issue = {3},
      journal = {{BIT} Numerical Mathematics},
      pages = {843--867},
      title = {{A multi-level spectral deferred correction method}},
      url = {http://dx.doi.org/10.1007/s10543-014-0517-x},
      volume = {55},
      year = {2015}
    }
    
  18. J. Steiner, D. Ruprecht, R. Speck, and R. Krause, “Convergence of Parareal for the Navier-Stokes equations depending on the Reynolds number,” in Numerical Mathematics and Advanced Applications - ENUMATH 2013, vol. 103, A. Abdulle, S. Deparis, D. Kressner, F. Nobile, and M. Picasso, Eds. Springer International Publishing, 2015, pp. 195–202 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-10705-9_19
    @incollection{SteinerEtAl2015,
      author = {Steiner, J. and Ruprecht, Daniel and Speck, Robert and Krause, Rolf},
      booktitle = {Numerical Mathematics and Advanced Applications - {ENUMATH} 2013},
      doi = {10.1007/978-3-319-10705-9_19},
      editor = {Abdulle, Assyr and Deparis, Simone and Kressner, Daniel and Nobile, Fabio and Picasso, Marco},
      pages = {195--202},
      publisher = {Springer International Publishing},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Convergence of {P}arareal for the {N}avier-{S}tokes equations depending on the {R}eynolds number}},
      url = {http://dx.doi.org/10.1007/978-3-319-10705-9_19},
      volume = {103},
      year = {2015}
    }
    
  19. S. Ulbrich, “Preconditioners Based on ‘Parareal’ Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization,” in Multiple Shooting and Time Domain Decomposition Methods: MuS-TDD, Heidelberg, May 6-8, 2013, T. Carraro, M. Geiger, S. Körkel, and R. Rannacher, Eds. Cham: Springer International Publishing, 2015, pp. 203–232 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-23321-5_8
    @inbook{Ulbrich2015,
      address = {Cham},
      author = {Ulbrich, Stefan},
      booktitle = {{Multiple Shooting and Time Domain Decomposition Methods: MuS-TDD, Heidelberg, May 6-8, 2013}},
      doi = {10.1007/978-3-319-23321-5_8},
      editor = {Carraro, Thomas and Geiger, Michael and K{\"o}rkel, Stefan and Rannacher, Rolf},
      pages = {203--232},
      publisher = {Springer International Publishing},
      title = {{Preconditioners Based on ``Parareal'' Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization}},
      url = {http://dx.doi.org/10.1007/978-3-319-23321-5_8},
      year = {2015}
    }
    
  20. Z. Wang and S.-L. Wu, “Parareal Algorithms Implemented with IMEX Runge-Kutta Methods,” Mathematical Problems in Engineering, vol. 2015, 2015 [Online]. Available at: http://dx.doi.org/10.1155/2015/395340
    @article{Wang2015,
      author = {Wang, Zhiyong and Wu, Shu-Lin},
      doi = {10.1155/2015/395340},
      journal = {Mathematical Problems in Engineering},
      title = {Parareal Algorithms Implemented with {IMEX} Runge-Kutta Methods},
      url = {http://dx.doi.org/10.1155/2015/395340},
      volume = {2015},
      year = {2015}
    }
    
  21. S.-L. Wu and T. Zhou, “Convergence Analysis for Three Parareal Solvers,” SIAM Journal on Scientific Computing, vol. 37, no. 2, pp. A970–A992, 2015 [Online]. Available at: http://dx.doi.org/10.1137/140970756
    @article{Wu2015,
      author = {Wu, Shu-Lin and Zhou, Tao},
      doi = {10.1137/140970756},
      journal = {SIAM Journal on Scientific Computing},
      number = {2},
      pages = {A970--A992},
      title = {Convergence Analysis for Three Parareal Solvers},
      url = {http://dx.doi.org/10.1137/140970756},
      volume = {37},
      year = {2015}
    }
    
  22. S.-L. Wu, “Convergence Analysis of the Parareal-Euler Algorithm for Systems of ODEs with Complex Eigenvalues,” Journal of Scientific Computing, pp. 1–25, 2015 [Online]. Available at: http://dx.doi.org/10.1007/s10915-015-0100-x
    @article{Wu2015b,
      author = {Wu, Shu-Lin},
      doi = {10.1007/s10915-015-0100-x},
      journal = {Journal of Scientific Computing},
      pages = {1--25},
      title = {Convergence Analysis of the Parareal-Euler Algorithm for Systems of ODEs with Complex Eigenvalues},
      url = {http://dx.doi.org/10.1007/s10915-015-0100-x},
      year = {2015}
    }
    
top

2014

  1. P. Arbenz, D. Hupp, and D. Obrist, “A Parallel Solver for the Time-Periodic Navier-Stokes Equations,” in Parallel Processing and Applied Mathematics, R. Wyrzykowski, J. Dongarra, K. Karczewski, and J. Waśniewski, Eds. Springer Berlin Heidelberg, 2014, pp. 291–300 [Online]. Available at: http://dx.doi.org/10.1007/978-3-642-55195-6_27
    @incollection{ArbenzEtAl2014,
      author = {Arbenz, Peter and Hupp, Daniel and Obrist, Dominik},
      booktitle = {{Parallel Processing and Applied Mathematics}},
      doi = {10.1007/978-3-642-55195-6_27},
      editor = {Wyrzykowski, Roman and Dongarra, Jack and Karczewski, Konrad and Waśniewski, Jerzy},
      pages = {291--300},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computer Science}},
      title = {{A Parallel Solver for the Time-Periodic {N}avier-{S}tokes Equations}},
      url = {http://dx.doi.org/10.1007/978-3-642-55195-6_27},
      year = {2014}
    }
    
  2. A. T. Barker, “A minimal communication approach to parallel time integration,” International Journal of Computer Mathematics, vol. 91, no. 3, pp. 601–615, 2014 [Online]. Available at: http://dx.doi.org/10.1080/00207160.2013.800193
    @article{Barker2014,
      author = {Barker, Andrew T.},
      doi = {10.1080/00207160.2013.800193},
      issue = {3},
      journal = {International Journal of Computer Mathematics},
      pages = {601--615},
      title = {{A minimal communication approach to parallel time integration}},
      url = {http://dx.doi.org/10.1080/00207160.2013.800193},
      volume = {91},
      year = {2014}
    }
    
  3. A.-M. Baudron, J.-J. Lautard, Y. Maday, M. K. Riahi, and J. Salomon, “Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model,” Journal of Computational Physics, vol. 279, no. 0, pp. 67–79, 2014 [Online]. Available at: http://dx.doi.org/10.1016/j.jcp.2014.08.037
    @article{Baudron2014,
      author = {Baudron, Anne-Marie and Lautard, Jean-Jacques and Maday, Yvon and Riahi, Mohamed Kamel and Salomon, Julien},
      doi = {10.1016/j.jcp.2014.08.037},
      journal = {Journal of Computational Physics},
      number = {0},
      pages = {67--79},
      title = {{Parareal in time 3D numerical solver for the {LWR} Benchmark neutron diffusion transient model}},
      url = {http://dx.doi.org/10.1016/j.jcp.2014.08.037},
      volume = {279},
      year = {2014}
    }
    
  4. A.-M. Baudron, J.-J. Lautard, Y. Maday, and O. Mula, “The parareal in time algorithm applied to the kinetic neutron diffusion equation,” in Domain Decomposition Methods in Science and Engineering XXI, 2014, pp. 437–445 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-05789-7_41
    @inproceedings{BaudronEtAl2014_DDM,
      author = {Baudron, Anne-Marie and Lautard, Jean-Jacques and Maday, Yvon and Mula, Olga},
      booktitle = {{Domain Decomposition Methods in Science and Engineering XXI}},
      doi = {10.1007/978-3-319-05789-7_41},
      editors = {Erhel, J. and Gander, M. J. and Halpern, L. and Pichot, G. and Sassi, T. and Widlund, O.},
      pages = {437--445},
      publisher = {Springer International Publishing},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{The parareal in time algorithm applied to the kinetic neutron diffusion equation}},
      url = {http://dx.doi.org/10.1007/978-3-319-05789-7_41},
      year = {2014}
    }
    
  5. S. Bu and J.-Y. Lee, “An enhanced parareal algorithm based on the deferred correction methods for a stiff system,” Journal of Computational and Applied Mathematics, vol. 255, no. 0, pp. 297–305, 2014 [Online]. Available at: http://dx.doi.org/10.1016/j.cam.2013.05.001
    @article{BuLee2014,
      author = {Bu, Sunyoung and Lee, June-Yub},
      doi = {10.1016/j.cam.2013.05.001},
      journal = {Journal of Computational and Applied Mathematics},
      number = {0},
      pages = {297--305},
      title = {{An enhanced parareal algorithm based on the deferred correction methods for a stiff system}},
      url = {http://dx.doi.org/10.1016/j.cam.2013.05.001},
      volume = {255},
      year = {2014}
    }
    
  6. J. J. Caceres Silva, B. Baran, and C. E. Schaerer, “Implementation of a distributed parallel in time scheme using PETSc for a parabolic optimal control problem,” in Computer Science and Information Systems (FedCSIS), 2014 Federated Conference on, 2014, pp. 577–586 [Online]. Available at: http://dx.doi.org/10.15439/2014F340
    @inproceedings{Caceres2014,
      author = {{Caceres Silva}, J.~J. and Baran, B. and Schaerer, Christian E.},
      booktitle = {{Computer Science and Information Systems (FedCSIS), 2014 Federated Conference on}},
      doi = {10.15439/2014F340},
      pages = {577--586},
      title = {{Implementation of a distributed parallel in time scheme using {PETSc} for a parabolic optimal control problem}},
      url = {http://dx.doi.org/10.15439/2014F340},
      year = {2014}
    }
    
  7. F. Chen, J. S. Hesthaven, and X. Zhu, “On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method,” in Reduced Order Methods for Modeling and Computational Reduction, vol. 9, A. Quarteroni and G. Rozza, Eds. Springer International Publishing, 2014, pp. 187–214 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-02090-7_7
    @incollection{ChenEtAl2014,
      author = {Chen, Feng and Hesthaven, Jan S. and Zhu, Xueyu},
      booktitle = {{Reduced Order Methods for Modeling and Computational Reduction}},
      doi = {10.1007/978-3-319-02090-7_7},
      editor = {Quarteroni, Alfio and Rozza, Gianluigi},
      pages = {187--214},
      publisher = {Springer International Publishing},
      series = {{MS\&A - Modeling, Simulation and Applications}},
      title = {{On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method}},
      url = {http://dx.doi.org/10.1007/978-3-319-02090-7_7},
      volume = {9},
      year = {2014}
    }
    
  8. F. Chouly and A. Lozinski, “Parareal multi-model numerical zoom for parabolic multiscale problems,” Comptes Rendus Mathematique, vol. 352, no. 6, pp. 535–540, 2014 [Online]. Available at: http://dx.doi.org/10.1016/j.crma.2014.03.018
    @article{Chouly2014,
      author = {Chouly, Franz and Lozinski, Alexei},
      doi = {10.1016/j.crma.2014.03.018},
      journal = {Comptes Rendus Mathematique},
      number = {6},
      pages = {535--540},
      title = {{Parareal multi-model numerical zoom for parabolic multiscale problems}},
      url = {http://dx.doi.org/10.1016/j.crma.2014.03.018},
      volume = {352},
      year = {2014}
    }
    
  9. R. Croce, D. Ruprecht, and R. Krause, “Parallel-in-Space-and-Time Simulation of the Three-Dimensional, Unsteady Navier-Stokes Equations for Incompressible Flow,” in Modeling, Simulation and Optimization of Complex Processes – HPSC 2012, H. G. Bock, X. P. Hoang, R. Rannacher, and J. P. Schlöder, Eds. Springer International Publishing, 2014, pp. 13–23 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-09063-4_2
    @incollection{CroceEtAl2014,
      author = {Croce, Roberto and Ruprecht, Daniel and Krause, Rolf},
      booktitle = {Modeling, Simulation and Optimization of Complex Processes -- {HPSC} 2012},
      doi = {10.1007/978-3-319-09063-4_2},
      editor = {Bock, Hans Georg and Hoang, Xuan Phu and Rannacher, Rolf and Schlöder, Johannes P.},
      pages = {13--23},
      publisher = {Springer International Publishing},
      title = {{Parallel-in-Space-and-Time Simulation of the Three-Dimensional, Unsteady {N}avier-{S}tokes Equations for Incompressible Flow}},
      url = {http://dx.doi.org/10.1007/978-3-319-09063-4_2},
      year = {2014}
    }
    
  10. J. Dongarra and al., “Applied Mathematics Research for Exascale Computing,” Lawrence Livermore National Laboratory, LLNL-TR-651000, 2014 [Online]. Available at: http://science.energy.gov/ /media/ascr/pdf/research/am/docs/EMWGreport.pdf
    @techreport{DongarraEtAl2014,
      author = {Dongarra, J. and al.},
      institution = {Lawrence Livermore National Laboratory},
      number = {LLNL-TR-651000},
      title = {{Applied Mathematics Research for Exascale Computing}},
      url = {{http://science.energy.gov/~/media/ascr/pdf/research/am/docs/EMWGreport.pdf}},
      year = {2014}
    }
    
  11. M. Emmett and M. L. Minion, “Efficient implementation of a multi-level parallel in time algorithm,” in Domain Decomposition Methods in Science and Engineering XXI, 2014, vol. 98, pp. 359–366 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-05789-7_33
    @inproceedings{EmmettMinion2014_DDM,
      author = {Emmett, Matthew and Minion, Michael L.},
      booktitle = {{Domain Decomposition Methods in Science and Engineering XXI}},
      doi = {10.1007/978-3-319-05789-7_33},
      editors = {Erhel, J. and Gander, M. J. and Halpern, L. and Pichot, G. and Sassi, T. and Widlund, O.},
      pages = {359--366},
      publisher = {Springer International Publishing},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Efficient implementation of a multi-level parallel in time algorithm}},
      url = {http://dx.doi.org/10.1007/978-3-319-05789-7_33},
      volume = {98},
      year = {2014}
    }
    
  12. R. D. Falgout, A. Katz, T. V. Kolev, J. B. Schroder, A. M. Wissink, and U. M. Yang, “Parallel Time Integration with Multigrid Reduction for a Compressible Fluid Dynamics Application,” Lawrence Livermore National Laboratory, 2014 [Online]. Available at: https://computation.llnl.gov/project/parallel-time-integration/pubs/strand2d-pit.pdf
    @techreport{FalgoutEtAl2014,
      author = {Falgout, R. D. and Katz, A. and Kolev, T.~V. and Schroder, Jacob B. and Wissink, A.~M. and Yang, U.~M.},
      institution = {Lawrence Livermore National Laboratory},
      title = {{Parallel Time Integration with Multigrid Reduction for a Compressible Fluid Dynamics Application}},
      url = {https://computation.llnl.gov/project/parallel-time-integration/pubs/strand2d-pit.pdf},
      year = {2014}
    }
    
  13. R. D. Falgout, S. Friedhoff, T. V. Kolev, S. P. MacLachlan, and J. B. Schroder, “Parallel time integration with multigrid,” SIAM Journal on Scientific Computing, vol. 36, no. 6, pp. C635–C661, 2014 [Online]. Available at: http://dx.doi.org/10.1137/130944230
    @article{FalgoutEtAl2014_MGRIT,
      author = {Falgout, R.~D. and Friedhoff, S. and Kolev, T.~V. and MacLachlan, Scott P. and Schroder, Jacob B.},
      doi = {10.1137/130944230},
      issue = {6},
      journal = {SIAM Journal on Scientific Computing},
      pages = {C635--C661},
      title = {{Parallel time integration with multigrid}},
      url = {http://dx.doi.org/10.1137/130944230},
      volume = {36},
      year = {2014}
    }
    
  14. M. J. Gander and E. Hairer, “Analysis for parareal algorithms applied to Hamiltonian differential equations,” Journal of Computational and Applied Mathematics, vol. 259, Part A, no. 0, pp. 2–13, 2014 [Online]. Available at: http://dx.doi.org/10.1016/j.cam.2013.01.011
    @article{GanderHairer2014,
      author = {Gander, Martin J. and Hairer, Ernst},
      doi = {10.1016/j.cam.2013.01.011},
      journal = {Journal of Computational and Applied Mathematics},
      note = {Proceedings of the Sixteenth International Congress on Computational and Applied Mathematics (ICCAM-2012), Ghent, Belgium, 9-13 July, 2012},
      number = {0},
      pages = {2--13},
      title = {{Analysis for parareal algorithms applied to {H}amiltonian differential equations}},
      url = {http://dx.doi.org/10.1016/j.cam.2013.01.011},
      volume = {259, Part A},
      year = {2014}
    }
    
  15. T. Haut and B. Wingate, “An asymptotic parallel-in-time method for highly oscillatory PDEs,” SIAM Journal on Scientific Computing, vol. 36, no. 2, pp. A693–A713, 2014 [Online]. Available at: http://dx.doi.org/10.1137/130914577
    @article{HautWingate2014,
      author = {Haut, T. and Wingate, B.},
      doi = {10.1137/130914577},
      journal = {SIAM Journal on Scientific Computing},
      number = {2},
      pages = {A693--A713},
      title = {{An asymptotic parallel-in-time method for highly oscillatory {PDE}s}},
      url = {http://dx.doi.org/10.1137/130914577},
      volume = {36},
      year = {2014}
    }
    
  16. R. D. Haynes and B. W. Ong, “MPI-OpenMP algorithms for the parallel space-time solution of time dependent PDEs,” in Domain Decomposition Methods in Science and Engineering XXI, 2014, vol. 98, pp. 179–187 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-05789-7_14
    @inproceedings{HaynesOng2014,
      author = {Haynes, Ronald D. and Ong, Benjamin W.},
      booktitle = {{Domain Decomposition Methods in Science and Engineering XXI}},
      doi = {10.1007/978-3-319-05789-7_14},
      editors = {Erhel, J. and Gander, M. J. and Halpern, L. and Pichot, G. and Sassi, T. and Widlund, O.},
      pages = {179--187},
      publisher = {Springer International Publishing},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{{MPI}-{O}pen{MP} algorithms for the parallel space-time solution of time dependent {PDE}s}},
      url = {http://dx.doi.org/10.1007/978-3-319-05789-7_14},
      volume = {98},
      year = {2014}
    }
    
  17. T. Loderer, V. Heuveline, and R. Lohner, “The parareal algorithm as a new approach for numerical integration of ODEs in real-time simulations in automotive industry,” PAMM, vol. 14, no. 1, pp. 1027–1030, 2014 [Online]. Available at: http://dx.doi.org/10.1002/pamm.201410489
    @article{Loderer2014,
      author = {Loderer, Thomas and Heuveline, Vincent and Lohner, Rudolf},
      doi = {10.1002/pamm.201410489},
      journal = {PAMM},
      number = {1},
      pages = {1027--1030},
      title = {{The parareal algorithm as a new approach for numerical integration of {ODE}s in real-time simulations in automotive industry}},
      url = {http://dx.doi.org/10.1002/pamm.201410489},
      volume = {14},
      year = {2014}
    }
    
  18. N. Makhoul-Karam, N. R. Nassif, and J. Erhel, “An Adaptive Parallel-in-Time Method with application to a membrane problem,” in Domain Decomposition Methods in Science and Engineering XXI, 2014, vol. 98, pp. 707–717 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-05789-7_68
    @inproceedings{MakhoulEtAl2014_DDM,
      author = {Makhoul-Karam, Noha and Nassif, Nabil R. and Erhel, Jocelyne},
      booktitle = {{Domain Decomposition Methods in Science and Engineering XXI}},
      doi = {10.1007/978-3-319-05789-7_68},
      editors = {Erhel, J. and Gander, M. J. and Halpern, L. and Pichot, G. and Sassi, T. and Widlund, O.},
      pages = {707--717},
      publisher = {Springer International Publishing},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{An Adaptive Parallel-in-Time Method with application to a membrane problem}},
      url = {http://dx.doi.org/10.1007/978-3-319-05789-7_68},
      volume = {98},
      year = {2014}
    }
    
  19. O. Mula, “Some contributions towards the parallel simulation of time dependent neutron transport and the integration of observed data in real time,” PhD thesis, Université Pierre et Marie Curie - Paris VI, 2014 [Online]. Available at: https://tel.archives-ouvertes.fr/tel-01081601
    @phdthesis{Mula2014,
      author = {Mula, Olga},
      school = {Universit\'{e} Pierre et Marie Curie - Paris VI},
      title = {Some  contributions  towards  the  parallel  simulation  of  time  dependent  neutron transport and the integration of observed data in real time},
      url = {https://tel.archives-ouvertes.fr/tel-01081601},
      year = {2014}
    }
    
  20. M. J. Gander and M. Neumueller, “Analysis of a Time Multigrid Algorithm for DG-Discretizations in Time,” 2014 [Online]. Available at: http://arxiv.org/abs/1409.5254
    @unpublished{Neumueller2014,
      author = {Gander, Martin J. and Neumueller, M.},
      title = {{Analysis of a Time Multigrid Algorithm for {DG}-Discretizations in Time}},
      url = {http://arxiv.org/abs/1409.5254},
      year = {2014}
    }
    
  21. A. Randles and E. Kaxiras, “Parallel in time approximation of the lattice Boltzmann method for laminar flows,” Journal of Computational Physics, vol. 270, pp. 577–586, 2014 [Online]. Available at: http://dx.doi.org/10.1016/j.jcp.2014.04.006
    @article{Randles2014,
      author = {Randles, Amanda and Kaxiras, Efthimios},
      doi = {10.1016/j.jcp.2014.04.006},
      journal = {Journal of Computational Physics},
      pages = {577--586},
      title = {{Parallel in time approximation of the lattice {B}oltzmann method for laminar flows}},
      url = {http://dx.doi.org/10.1016/j.jcp.2014.04.006},
      volume = {270},
      year = {2014}
    }
    
  22. A. Randles and E. Kaxiras, “A Spatio-temporal Coupling Method to Reduce the Time-to-Solution of Cardiovascular Simulations,” in Parallel and Distributed Processing Symposium, 2014 IEEE 28th International, 2014, pp. 593–602 [Online]. Available at: http://dx.doi.org/10.1109/IPDPS.2014.68
    @inproceedings{Randles2014_b,
      author = {Randles, A. and Kaxiras, Efthimios},
      booktitle = {{Parallel and Distributed Processing Symposium, 2014 IEEE 28th International}},
      doi = {10.1109/IPDPS.2014.68},
      month = may,
      pages = {593--602},
      title = {{A Spatio-temporal Coupling Method to Reduce the Time-to-Solution of Cardiovascular Simulations}},
      url = {http://dx.doi.org/10.1109/IPDPS.2014.68},
      year = {2014}
    }
    
  23. V. Rao and A. Sandu, “An adjoint-based scalable algorithm for time-parallel integration,” Journal of Computational Science, vol. 5, no. 2, pp. 76–84, 2014 [Online]. Available at: http://dx.doi.org/10.1016/j.jocs.2013.03.004
    @article{Rao2014,
      author = {Rao, Vishwas and Sandu, Adrian},
      doi = {10.1016/j.jocs.2013.03.004},
      journal = {Journal of Computational Science},
      number = {2},
      pages = {76--84},
      title = {{An adjoint-based scalable algorithm for time-parallel integration}},
      url = {http://dx.doi.org/10.1016/j.jocs.2013.03.004},
      volume = {5},
      year = {2014}
    }
    
  24. D. Ruprecht, “Convergence of Parareal with spatial coarsening,” PAMM, vol. 14, no. 1, pp. 1031–1034, 2014 [Online]. Available at: http://dx.doi.org/10.1002/pamm.201410490
    @article{Ruprecht2014_GAMM,
      author = {Ruprecht, Daniel},
      doi = {10.1002/pamm.201410490},
      journal = {PAMM},
      number = {1},
      pages = {1031--1034},
      title = {{Convergence of Parareal with spatial coarsening}},
      url = {http://dx.doi.org/10.1002/pamm.201410490},
      volume = {14},
      year = {2014}
    }
    
  25. R. Krause and D. Ruprecht, “Hybrid Space-Time Parallel Solution of Burgers’ Equation,” in Domain Decomposition Methods in Science and Engineering XXI, 2014, vol. 98, pp. 647–655 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-05789-7_62
    @inproceedings{RuprechtKrause2014_DDM,
      author = {Krause, Rolf and Ruprecht, Daniel},
      booktitle = {Domain Decomposition Methods in Science and Engineering {XXI}},
      doi = {10.1007/978-3-319-05789-7_62},
      editors = {Erhel, J. and Gander, M.~J. and Halpern, L. and Pichot, G. and Sassi, T. and Widlund, O.},
      pages = {647--655},
      publisher = {Springer International Publishing},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Hybrid Space-Time Parallel Solution of {B}urgers' Equation}},
      url = {http://dx.doi.org/10.1007/978-3-319-05789-7_62},
      volume = {98},
      year = {2014}
    }
    
  26. D. Samaddar, D. P. Coster, X. Bonnin, C. Bergmeister, Havlíc̆ková E., L. A. Berry, W. R. Elwasif, and D. B. Batchelor, “Poster: Greater than 10x Acceleration of fusion plasma edge simulations using the Parareal algorithm,” in Proceedings of the 2014 Conference on High Performance Computing Networking, Storage and Analysis Companion, 2014 [Online]. Available at: http://sc14.supercomputing.org/sites/all/themes/sc14/files/archive/tech_poster/poster_files/post163s2-file3.pdf
    @inproceedings{Samaddar2014,
      author = {Samaddar, Debasmita and Coster, D.~P. and Bonnin, X. and Bergmeister, C. and Havl{\'i}\u{c}kov{\'a}, E. and Berry, Lee A. and Elwasif, Wael R. and Batchelor, D.~B.},
      booktitle = {{Proceedings of the 2014 Conference on High Performance Computing Networking, Storage and Analysis Companion}},
      location = {New Orleans, Louisiana, USA},
      series = {{SC '14 Companion}},
      title = {{Poster: Greater than 10x Acceleration of fusion plasma edge simulations using the Parareal algorithm}},
      url = {http://sc14.supercomputing.org/sites/all/themes/sc14/files/archive/tech_poster/poster_files/post163s2-file3.pdf},
      year = {2014}
    }
    
  27. B. Song and Y.-L. Jiang, “Analysis of a new parareal algorithm based on waveform relaxation method for time-periodic problems,” Numerical Algorithms, vol. 67, no. 3, pp. 599–622, 2014 [Online]. Available at: http://dx.doi.org/10.1007/s11075-013-9810-z
    @article{Song2014,
      author = {Song, Bo and Jiang, Yao-Lin},
      doi = {10.1007/s11075-013-9810-z},
      journal = {Numerical Algorithms},
      number = {3},
      pages = {599--622},
      title = {{Analysis of a new parareal algorithm based on waveform relaxation method for time-periodic problems}},
      url = {http://dx.doi.org/10.1007/s11075-013-9810-z},
      volume = {67},
      year = {2014}
    }
    
  28. R. Speck, D. Ruprecht, R. Krause, M. Emmett, M. L. Minion, M. Winkel, and P. Gibbon, “Integrating an N-body problem with SDC and PFASST,” in Domain Decomposition Methods in Science and Engineering XXI, 2014, vol. 98, pp. 637–645 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-05789-7_61
    @inproceedings{SpeckEtAl2014_DDM2012,
      author = {Speck, Robert and Ruprecht, Daniel and Krause, Rolf and Emmett, Matthew and Minion, Michael L. and Winkel, Mathias and Gibbon, Paul},
      booktitle = {Domain Decomposition Methods in Science and Engineering {XXI}},
      doi = {10.1007/978-3-319-05789-7_61},
      editors = {Erhel, J. and Gander, M.~J. and Halpern, L. and Pichot, G. and Sassi, T. and Widlund, O.},
      pages = {637--645},
      publisher = {Springer International Publishing},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Integrating an {N}-body problem with {SDC} and {PFASST}}},
      url = {http://dx.doi.org/10.1007/978-3-319-05789-7_61},
      volume = {98},
      year = {2014}
    }
    
  29. R. Speck, D. Ruprecht, M. Emmett, M. Bolten, and R. Krause, “A space-time parallel solver for the three-dimensional heat equation,” in Parallel Computing: Accelerating Computational Science and Engineering (CSE), 2014, vol. 25, pp. 263–272 [Online]. Available at: http://dx.doi.org/10.3233/978-1-61499-381-0-263
    @inproceedings{SpeckEtAl2014_Parco,
      author = {Speck, Robert and Ruprecht, Daniel and Emmett, Matthew and Bolten, Matthias and Krause, Rolf},
      booktitle = {Parallel Computing: Accelerating Computational Science and Engineering ({CSE})},
      doi = {10.3233/978-1-61499-381-0-263},
      editors = {Bader, M. and Bode, A. and Bungartz, H.-J. and Gerndt, M. and Joubert, G.R. and Peters, F.},
      pages = {263--272},
      publisher = {IOS Press},
      series = {{Advances in Parallel Computing}},
      title = {{A space-time parallel solver for the three-dimensional heat equation}},
      url = {http://dx.doi.org/10.3233/978-1-61499-381-0-263},
      volume = {25},
      year = {2014}
    }
    
  30. T. Takami and D. Fukudome, “An Identity Parareal Method for Temporal Parallel Computations,” in Parallel Processing and Applied Mathematics, R. Wyrzykowski, J. Dongarra, K. Karczewski, and J. Waśniewski, Eds. Springer Berlin Heidelberg, 2014, pp. 67–75 [Online]. Available at: http://dx.doi.org/10.1007/978-3-642-55224-3_7
    @incollection{Takami2014,
      author = {Takami, Toshiya and Fukudome, Daiki},
      booktitle = {{Parallel Processing and Applied Mathematics}},
      doi = {10.1007/978-3-642-55224-3_7},
      editor = {Wyrzykowski, Roman and Dongarra, Jack and Karczewski, Konrad and Waśniewski, Jerzy},
      pages = {67--75},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computer Science}},
      title = {{An Identity Parareal Method for Temporal Parallel Computations}},
      url = {http://dx.doi.org/10.1007/978-3-642-55224-3_7},
      year = {2014}
    }
    
  31. T. Takami and D. Fukudome, “An Efficient Pipelined Implementation of Space-Time Parallel Applications,” in Parallel Computing: Accelerating Computational Science and Engineering (CSE), vol. 25, M. Bader, A. Bode, H.-J. Bungartz, M. Gerndt, G. R. Joubert, and F. Peters, Eds. 2014, pp. 273–281 [Online]. Available at: http://dx.doi.org/10.3233/978-1-61499-381-0-273
    @incollection{Takami2014_b,
      author = {Takami, Toshiya and Fukudome, Daiki},
      booktitle = {{Parallel Computing: Accelerating Computational Science and Engineering (CSE)}},
      doi = {10.3233/978-1-61499-381-0-273},
      editor = {Bader, Michael and Bode, Arndt and Bungartz, Hans-Joachim and Gerndt, Michael and Joubert, Gerhard R. and Peters, Frans},
      pages = {273--281},
      series = {{Advances in Parallel Computing}},
      title = {{An Efficient Pipelined Implementation of Space-Time Parallel Applications}},
      url = {http://dx.doi.org/10.3233/978-1-61499-381-0-273},
      volume = {25},
      year = {2014}
    }
    
  32. P. L. C. van der Valk and D. J. Rixen, “Towards a Parallel Time Integration Method for Nonlinear Systems,” in Dynamics of Coupled Structures, Volume 1: Proceedings of the 32nd IMAC, A Conference and Exposition on Structural Dynamics, 2014, M. Allen, R. Mayes, and D. Rixen, Eds. Cham: Springer International Publishing, 2014, pp. 135–145 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-04501-6_12
    @inbook{VanDerValkEtAl2014,
      address = {Cham},
      author = {van der Valk, Paul L. C. and Rixen, Daniel J.},
      booktitle = {Dynamics of Coupled Structures, Volume 1: Proceedings of the 32nd IMAC,  A Conference and Exposition on Structural Dynamics, 2014},
      doi = {10.1007/978-3-319-04501-6_12},
      editor = {Allen, Matt and Mayes, Randy and Rixen, Daniel},
      pages = {135--145},
      publisher = {Springer International Publishing},
      title = {Towards a Parallel Time Integration Method for Nonlinear Systems},
      url = {http://dx.doi.org/10.1007/978-3-319-04501-6_12},
      year = {2014}
    }
    
  33. S.-L. Wu, “Convergence analysis of some second-order parareal algorithms,” IMA Journal of Numerical Analysis, 2014 [Online]. Available at: http://dx.doi.org/10.1093/imanum/dru031
    @article{Wu2014,
      author = {Wu, Shu-Lin},
      doi = {10.1093/imanum/dru031},
      journal = {IMA Journal of Numerical Analysis},
      title = {{Convergence analysis of some second-order parareal algorithms}},
      url = {http://dx.doi.org/10.1093/imanum/dru031},
      year = {2014}
    }
    
  34. Q. Xu, J. S. Hesthaven, and F. Chen, “A parareal method for time-fractional differential equations,” Journal of Computational Physics, 2014 [Online]. Available at: http://dx.doi.org/10.1016/j.jcp.2014.11.034
    @article{Xu2014,
      author = {Xu, Qinwu and Hesthaven, Jan S. and Chen, Feng},
      doi = {10.1016/j.jcp.2014.11.034},
      journal = {Journal of Computational Physics},
      title = {{A parareal method for time-fractional differential equations}},
      url = {http://dx.doi.org/10.1016/j.jcp.2014.11.034},
      year = {2014}
    }
    
top

2013

  1. E. J. Bylaska, J. Q. Weare, and J. H. Weare, “Extending molecular simulation time scales: Parallel in time integrations for high-level quantum chemistry and complex force representations,” The Journal of Chemical Physics, vol. 139, no. 7, p. 074114, 2013 [Online]. Available at: http://dx.doi.org/10.1063/1.4818328
    @article{BylaskaEtAl2013,
      author = {Bylaska, Eric J. and Weare, Jonathan Q. and Weare, John H.},
      doi = {10.1063/1.4818328},
      journal = {The Journal of Chemical Physics},
      number = {7},
      pages = {074114},
      title = {{Extending molecular simulation time scales: Parallel in time integrations for high-level quantum chemistry and complex force representations}},
      url = {http://dx.doi.org/10.1063/1.4818328},
      volume = {139},
      year = {2013}
    }
    
  2. X. Dai and Y. Maday, “Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems,” SIAM Journal on Scientific Computing, vol. 35, no. 1, pp. A52–A78, 2013 [Online]. Available at: http://dx.doi.org/10.1137/110861002
    @article{DaiEtAl2013,
      author = {Dai, X. and Maday, Yvon},
      doi = {10.1137/110861002},
      journal = {SIAM Journal on Scientific Computing},
      number = {1},
      pages = {A52--A78},
      title = {{Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems}},
      url = {http://dx.doi.org/10.1137/110861002},
      volume = {35},
      year = {2013}
    }
    
  3. X. Dai, C. Le Bris, F. Legoll, and Y. Maday, “Symmetric parareal algorithms for Hamiltonian systems,” ESAIM: Mathematical Modelling and Numerical Analysis, vol. 47, no. 03, pp. 717–742, Apr. 2013 [Online]. Available at: http://dx.doi.org/10.1051/m2an/2012046
    @article{DaiEtAl2013_ESAIM,
      author = {Dai, X. and {Le Bris}, C. and Legoll, F. and Maday, Yvon},
      doi = {10.1051/m2an/2012046},
      issue = {03},
      journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
      month = apr,
      pages = {717--742},
      title = {{Symmetric parareal algorithms for {H}amiltonian systems}},
      url = {http://dx.doi.org/10.1051/m2an/2012046},
      volume = {47},
      year = {2013}
    }
    
  4. X. Du, M. Sarkis, C. E. Schaerer, and D. B. Szyld, “Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems,” Electrontic Transactions on Numerical Analysis, vol. 40, pp. 36–57, 2013 [Online]. Available at: http://etna.mcs.kent.edu/vol.40.2013/pp36-57.dir/pp36-57.pdf
    @article{DuEtAl2013,
      author = {Du, X. and Sarkis, Marcus and Schaerer, Christian E. and Szyld, D. B.},
      journal = {Electrontic Transactions on Numerical Analysis},
      pages = {36--57},
      title = {{Inexact and truncated parareal-in-time {K}rylov subspace methods for parabolic optimal control problems}},
      url = {http://etna.mcs.kent.edu/vol.40.2013/pp36-57.dir/pp36-57.pdf},
      volume = {40},
      year = {2013}
    }
    
  5. S. Friedhoff, R. D. Falgout, T. V. Kolev, S. P. MacLachlan, and J. B. Schroder, “A Multigrid-in-Time Algorithm for Solving Evolution Equations in Parallel,” in Presented at: Sixteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, United States, Mar 17 - Mar 22, 2013, 2013 [Online]. Available at: http://www.osti.gov/scitech/servlets/purl/1073108
    @inproceedings{FriedhoffEtAl2013,
      author = {Friedhoff, S. and Falgout, R.~D. and Kolev, T.~V. and MacLachlan, Scott P. and Schroder, Jacob B.},
      booktitle = {{Presented at: Sixteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, United States, Mar 17 - Mar 22, 2013}},
      title = {{A Multigrid-in-Time Algorithm for Solving Evolution Equations in Parallel}},
      url = {http://www.osti.gov/scitech/servlets/purl/1073108},
      year = {2013}
    }
    
  6. D. Fukudome and T. Takami, “Parallel bucket-brigade communication interface for scientific applications,” in Proceedings of the 20th European MPI Users’ Group Meeting, New York, NY, USA, 2013, pp. 135–136 [Online]. Available at: http://dx.doi.org/10.1145/2488551.2488595
    @inproceedings{FukudomeTakami2013,
      address = {New York, NY, USA},
      author = {Fukudome, Daiki and Takami, Toshiya},
      booktitle = {{Proceedings of the 20th European MPI Users' Group Meeting}},
      doi = {10.1145/2488551.2488595},
      isbn = {978-1-4503-1903-4},
      location = {Madrid, Spain},
      numpages = {2},
      pages = {135--136},
      publisher = {ACM},
      series = {{EuroMPI '13}},
      title = {{Parallel bucket-brigade communication interface for scientific applications}},
      url = {http://dx.doi.org/10.1145/2488551.2488595},
      year = {2013}
    }
    
  7. M. J. Gander, Y.-L. Jiang, and R.-J. Li, “Parareal Schwarz Waveform Relaxation Methods,” in Domain Decomposition Methods in Science and Engineering XX, vol. 91, R. Bank, M. Holst, O. Widlund, and J. Xu, Eds. Springer Berlin Heidelberg, 2013, pp. 451–458 [Online]. Available at: http://dx.doi.org/10.1007/978-3-642-35275-1_53
    @incollection{GanderEtAl2013_DDM,
      author = {Gander, Martin J. and Jiang, Yao-Lin and Li, Rong-Jian},
      booktitle = {{Domain Decomposition Methods in Science and Engineering {XX}}},
      doi = {10.1007/978-3-642-35275-1_53},
      editor = {Bank, Randolph and Holst, Michael and Widlund, Olof and Xu, Jinchao},
      pages = {451--458},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Parareal Schwarz Waveform Relaxation Methods}},
      url = {http://dx.doi.org/10.1007/978-3-642-35275-1_53},
      volume = {91},
      year = {2013}
    }
    
  8. M. J. Gander and S. Güttel, “PARAEXP: A Parallel Integrator for Linear Initial-Value Problems,” SIAM Journal on Scientific Computing, vol. 35, no. 2, pp. C123–C142, 2013 [Online]. Available at: http://dx.doi.org/10.1137/110856137
    @article{GuttelGander2013,
      author = {Gander, Martin J. and G{\"u}ttel, Stefan},
      doi = {10.1137/110856137},
      journal = {SIAM Journal on Scientific Computing},
      number = {2},
      pages = {C123--C142},
      title = {{PARAEXP: A Parallel Integrator for Linear Initial-Value Problems}},
      url = {http://dx.doi.org/10.1137/110856137},
      volume = {35},
      year = {2013}
    }
    
  9. F. Legoll, T. Lelièvre, and G. Samaey, “A Micro-Macro Parareal Algorithm: Application to Singularly Perturbed Ordinary Differential Equations,” SIAM Journal on Scientific Computing, vol. 35, no. 4, pp. A1951–A1986, 2013 [Online]. Available at: http://dx.doi.org/10.1137/120872681
    @article{LegollEtAl2013,
      author = {Legoll, F. and Lelièvre, T. and Samaey, G.},
      doi = {10.1137/120872681},
      journal = {SIAM Journal on Scientific Computing},
      number = {4},
      pages = {A1951--A1986},
      title = {{A Micro-Macro Parareal Algorithm: Application to Singularly Perturbed Ordinary Differential Equations}},
      url = {http://dx.doi.org/10.1137/120872681},
      volume = {35},
      year = {2013}
    }
    
  10. J. R. McClean, J. A. Parkhill, and A. Aspuru-Guzik, “Feynman’s clock, a new variational principle, and parallel-in-time quantum dynamics,” Proceedings of the National Academy of Sciences, vol. 110, no. 41, pp. E3901–E3909, 2013 [Online]. Available at: http://dx.doi.org/10.1073/pnas.1308069110
    @article{McCleanEtAl2013,
      author = {McClean, Jarrod R. and Parkhill, John A. and Aspuru-Guzik, Alán},
      doi = {10.1073/pnas.1308069110},
      journal = {Proceedings of the National Academy of Sciences},
      number = {41},
      pages = {E3901--E3909},
      title = {{Feynman's clock, a new variational principle, and parallel-in-time quantum dynamics}},
      url = {http://dx.doi.org/10.1073/pnas.1308069110},
      volume = {110},
      year = {2013}
    }
    
  11. D. Ruprecht, R. Speck, M. Emmett, M. Bolten, and R. Krause, “Poster: Extreme-scale space-time parallelism,” in Proceedings of the 2013 Conference on High Performance Computing Networking, Storage and Analysis Companion, 2013 [Online]. Available at: http://sc13.supercomputing.org/sites/default/files/PostersArchive/tech_posters/post148s2-file3.pdf
    @inproceedings{RuprechtEtAl2013_SC,
      author = {Ruprecht, Daniel and Speck, Robert and Emmett, Matthew and Bolten, Matthias and Krause, Rolf},
      booktitle = {Proceedings of the 2013 Conference on High Performance Computing Networking, Storage and Analysis Companion},
      location = {Denver, Colorado, USA},
      series = {{SC '13 Companion}},
      title = {Poster: Extreme-scale space-time parallelism},
      url = {http://sc13.supercomputing.org/sites/default/files/PostersArchive/tech_posters/post148s2-file3.pdf},
      year = {2013}
    }
    
  12. D. Samaddar, T. A. Casper, S. H. Kim, L. A. Berry, W. R. Elwasif, D. B. Batchelor, and W. A. Houlberg, “Time parallelization of advanced operation scenario simulations of ITER plasma,” Journal of Physics: Conference Series, vol. 410, no. 1, p. 012032, 2013 [Online]. Available at: http://dx.doi.org/10.1088/1742-6596/410/1/012032
    @article{SamaddarEtAl2013,
      author = {Samaddar, Debasmita and Casper, T.~A. and Kim, S.~H. and Berry, Lee A. and Elwasif, Wael R. and Batchelor, D.~B. and Houlberg, W.~A.},
      doi = {10.1088/1742-6596/410/1/012032},
      journal = {Journal of Physics: Conference Series},
      number = {1},
      pages = {012032},
      title = {{Time parallelization of advanced operation scenario simulations of {ITER} plasma}},
      url = {http://dx.doi.org/10.1088/1742-6596/410/1/012032},
      volume = {410},
      year = {2013}
    }
    
  13. Q. Wang, S. A. Gomez, P. J. Blonigan, A. L. Gregory, and E. Y. Qian, “Towards scalable parallel-in-time turbulent flow simulations,” Physics of Fluids (1994-present), vol. 25, no. 11, p. 110818, 2013 [Online]. Available at: https://doi.org/10.1063/1.4819390
    @article{WangEtAl2013,
      author = {Wang, Qiqi and Gomez, Steven A and Blonigan, Patrick J and Gregory, Alastair L and Qian, Elizabeth Y},
      doi = {10.1063/1.4819390},
      journal = {Physics of Fluids (1994-present)},
      number = {11},
      pages = {110818},
      title = {Towards scalable parallel-in-time turbulent flow simulations},
      url = {https://doi.org/10.1063/1.4819390},
      volume = {25},
      year = {2013}
    }
    
top

2012

  1. P. Arbenz, A. Hiltebrand, and D. Obrist, “A Parallel Space-Time Finite Difference Solver for Periodic Solutions of the Shallow-Water Equation,” in Parallel Processing and Applied Mathematics, vol. 7204, R. Wyrzykowski, J. Dongarra, K. Karczewski, and J. Waśniewski, Eds. Springer Berlin Heidelberg, 2012, pp. 302–312 [Online]. Available at: http://dx.doi.org/10.1007/978-3-642-31500-8_31
    @incollection{ArbenzEtAl2012,
      author = {Arbenz, Peter and Hiltebrand, Andreas and Obrist, Dominik},
      booktitle = {{Parallel Processing and Applied Mathematics}},
      doi = {10.1007/978-3-642-31500-8_31},
      editor = {Wyrzykowski, Roman and Dongarra, Jack and Karczewski, Konrad and Waśniewski, Jerzy},
      pages = {302--312},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computer Science}},
      title = {{A Parallel Space-Time Finite Difference Solver for Periodic Solutions of the Shallow-Water Equation}},
      url = {http://dx.doi.org/10.1007/978-3-642-31500-8_31},
      volume = {7204},
      year = {2012}
    }
    
  2. L. A. Berry, W. R. Elwasif, J. M. Reynolds-Barredo, D. Samaddar, R. S. Sánchez, and D. E. Newman, “Event-based parareal: A data-flow based implementation of parareal,” Journal of Computational Physics, vol. 231, no. 17, pp. 5945–5954, 2012 [Online]. Available at: http://dx.doi.org/10.1016/j.jcp.2012.05.016
    @article{BerryEtAl2012,
      author = {Berry, Lee A. and Elwasif, Wael R. and Reynolds-Barredo, J.~M. and Samaddar, Debasmita and Sánchez, Raul S. and Newman, David E.},
      doi = {10.1016/j.jcp.2012.05.016},
      journal = {Journal of Computational Physics},
      number = {17},
      pages = {5945--5954},
      title = {{Event-based parareal: A data-flow based implementation of parareal}},
      url = {http://dx.doi.org/10.1016/j.jcp.2012.05.016},
      volume = {231},
      year = {2012}
    }
    
  3. A. J. Christlieb, R. D. Haynes, and B. W. Ong, “A Parallel Space-Time Algorithm,” SIAM Journal on Scientific Computing, vol. 34, no. 5, pp. C233–C248, 2012 [Online]. Available at: http://dx.doi.org/10.1137/110843484
    @article{ChristliebEtAl2012,
      author = {Christlieb, Andrew J. and Haynes, Ronald D. and Ong, Benjamin W.},
      doi = {10.1137/110843484},
      journal = {SIAM Journal on Scientific Computing},
      number = {5},
      pages = {C233--C248},
      title = {{A Parallel Space-Time Algorithm}},
      url = {http://dx.doi.org/10.1137/110843484},
      volume = {34},
      year = {2012}
    }
    
  4. M. Emmett and M. L. Minion, “Toward an Efficient Parallel in Time Method for Partial Differential Equations,” Communications in Applied Mathematics and Computational Science, vol. 7, pp. 105–132, 2012 [Online]. Available at: http://dx.doi.org/10.2140/camcos.2012.7.105
    @article{EmmettMinion2012,
      author = {Emmett, Matthew and Minion, Michael L.},
      doi = {10.2140/camcos.2012.7.105},
      journal = {Communications in Applied Mathematics and Computational Science},
      pages = {105--132},
      title = {{Toward an Efficient Parallel in Time Method for Partial Differential Equations}},
      url = {http://dx.doi.org/10.2140/camcos.2012.7.105},
      volume = {7},
      year = {2012}
    }
    
  5. S. S. Foley, W. R. Elwasif, and D. E. Bernholdt, “The integrated plasma simulator: A flexible python framework for coupled multiphysics simulation,” Oak Ridge National Laboratory, ORNL/TM-2012/57, 2012 [Online]. Available at: http://info.ornl.gov/sites/publications/files/Pub34832.pdf
    @techreport{FoleyEtAl2012,
      author = {Foley, Samantha S. and Elwasif, Wael R. and Bernholdt, David E.},
      institution = {Oak Ridge National Laboratory},
      number = {ORNL/TM-2012/57},
      title = {{The integrated plasma simulator: A flexible python framework for coupled multiphysics simulation}},
      url = {http://info.ornl.gov/sites/publications/files/Pub34832.pdf},
      year = {2012}
    }
    
  6. J. Geiser and S. Güttel, “Coupling methods for heat transfer and heat flow: Operator splitting and the parareal algorithm,” Journal of Mathematical Analysis and Applications, vol. 388, no. 2, pp. 873–887, 2012 [Online]. Available at: http://dx.doi.org/10.1016/j.jmaa.2011.10.030
    @article{GeiserGuettel2012,
      author = {Geiser, Jürgen and G{\"u}ttel, Stefan},
      doi = {10.1016/j.jmaa.2011.10.030},
      journal = {Journal of Mathematical Analysis and Applications},
      number = {2},
      pages = {873--887},
      title = {{Coupling methods for heat transfer and heat flow: Operator splitting and the parareal algorithm}},
      url = {http://dx.doi.org/10.1016/j.jmaa.2011.10.030},
      volume = {388},
      year = {2012}
    }
    
  7. L.-P. He and M. He, “Parareal in Time Simulation Of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition,” Communications in Computational Physics, vol. 11, no. 5, pp. 1697–1717, 2012 [Online]. Available at: http://dx.doi.org/10.4208/cicp.110310.090911a
    @article{He2012,
      author = {He, Li-Ping and He, Minxin},
      doi = {10.4208/cicp.110310.090911a},
      issue = {5},
      journal = {Communications in Computational Physics},
      pages = {1697--1717},
      title = {Parareal in Time Simulation Of Morphological Transformation in Cubic Alloys with Spatially Dependent Composition},
      url = {http://dx.doi.org/10.4208/cicp.110310.090911a},
      volume = {11},
      year = {2012}
    }
    
  8. J. Liu and Y.-L. Jiang, “A parareal algorithm based on waveform relaxation,” Mathematics and Computers in Simulation, vol. 82, no. 11, pp. 2167–2181, 2012 [Online]. Available at: http://dx.doi.org/10.1016/j.matcom.2012.05.017
    @article{LiuJiang2012,
      author = {Liu, Jun and Jiang, Yao-Lin},
      doi = {10.1016/j.matcom.2012.05.017},
      journal = {Mathematics and Computers in Simulation},
      number = {11},
      pages = {2167--2181},
      title = {{A parareal algorithm based on waveform relaxation}},
      url = {http://dx.doi.org/10.1016/j.matcom.2012.05.017},
      volume = {82},
      year = {2012}
    }
    
  9. J. Liu and Y.-L. Jiang, “A parareal waveform relaxation algorithm for semi-linear parabolic partial differential equations,” Journal of Computational and Applied Mathematics, vol. 236, no. 17, pp. 4245–4263, 2012 [Online]. Available at: http://dx.doi.org/10.1016/j.cam.2012.05.014
    @article{LiuJiang2012_JCAM,
      author = {Liu, Jun and Jiang, Yao-Lin},
      doi = {10.1016/j.cam.2012.05.014},
      journal = {Journal of Computational and Applied Mathematics},
      number = {17},
      pages = {4245--4263},
      title = {{A parareal waveform relaxation algorithm for semi-linear parabolic partial differential equations}},
      url = {http://dx.doi.org/10.1016/j.cam.2012.05.014},
      volume = {236},
      year = {2012}
    }
    
  10. M. Loïc, “Semi-explicit Parareal method based on convergence acceleration technique,” arXiv:1212.4703 [cs.SY], 2012 [Online]. Available at: https://arxiv.org/abs/1212.4703
    @unpublished{Loic2012,
      author = {Lo{\"i}c, Michel},
      howpublished = {arXiv:1212.4703 [cs.SY]},
      title = {Semi-explicit Parareal method based on convergence acceleration technique},
      url = {https://arxiv.org/abs/1212.4703},
      year = {2012}
    }
    
  11. B. W. Ong, A. Melfi, and A. J. Christlieb, “Parallel Semi-Implicit Time Integrators,” 2012 [Online]. Available at: http://arxiv.org/abs/1209.4297
    @unpublished{OngEtAl2012,
      author = {Ong, Benjamin W. and Melfi, Andrew and Christlieb, Andrew J.},
      note = {arXiv:1209.4297 [cs.DC]},
      title = {{Parallel Semi-Implicit Time Integrators}},
      url = {http://arxiv.org/abs/1209.4297},
      year = {2012}
    }
    
  12. V. Rao, A. Cioaca, and A. Sandu, “A Highly Scalable Approach for Time Parallelization of Long Range Forecasts,” in High Performance Computing, Networking, Storage and Analysis (SCC), 2012 SC Companion: 2012, pp. 609–616 [Online]. Available at: http://dx.doi.org/10.1109/SC.Companion.2012.85
    @inproceedings{RaoEtAl2012,
      author = {Rao, Vishwas and Cioaca, Alexandru and Sandu, Adrian},
      booktitle = {{High Performance Computing, Networking, Storage and Analysis (SCC), 2012 SC Companion:}},
      doi = {10.1109/SC.Companion.2012.85},
      pages = {609--616},
      title = {{A Highly Scalable Approach for Time Parallelization of Long Range Forecasts}},
      url = {http://dx.doi.org/10.1109/SC.Companion.2012.85},
      year = {2012}
    }
    
  13. J. M. Reynolds-Barredo, D. E. Newman, R. S. Sánchez, D. Samaddar, L. A. Berry, and W. R. Elwasif, “Mechanisms for the convergence of time-parallelized, parareal turbulent plasma simulations,” Journal of Computational Physics, vol. 231, no. 23, pp. 7851–7867, 2012 [Online]. Available at: http://dx.doi.org/10.1016/j.jcp.2012.07.028
    @article{ReynoldsEtAl2012,
      author = {Reynolds-Barredo, J.~M. and Newman, David E. and Sánchez, Raul S. and Samaddar, Debasmita and Berry, Lee A. and Elwasif, Wael R.},
      doi = {10.1016/j.jcp.2012.07.028},
      journal = {Journal of Computational Physics},
      number = {23},
      pages = {7851--7867},
      title = {{Mechanisms for the convergence of time-parallelized, parareal turbulent plasma simulations}},
      url = {http://dx.doi.org/10.1016/j.jcp.2012.07.028},
      volume = {231},
      year = {2012}
    }
    
  14. J. M. Reynolds-Barredo, D. E. Newman, R. S. Sánchez, and L. A. Berry, “Modelling parareal convergence in 2D drift wave plasma turbulence,” in High Performance Computing and Simulation (HPCS), 2012 International Conference on, 2012, pp. 726–727 [Online]. Available at: http://dx.doi.org/10.1109/HPCSim.2012.6267004
    @inproceedings{ReynoldsEtAl2012_HPCS,
      author = {Reynolds-Barredo, J. M. and Newman, David E. and Sánchez, Raul S. and Berry, Lee A.},
      booktitle = {{High Performance Computing and Simulation (HPCS), 2012 International Conference on}},
      doi = {10.1109/HPCSim.2012.6267004},
      pages = {726--727},
      title = {{Modelling parareal convergence in 2D drift wave plasma turbulence}},
      url = {http://dx.doi.org/10.1109/HPCSim.2012.6267004},
      year = {2012}
    }
    
  15. D. Ruprecht and R. Krause, “Explicit parallel-in-time integration of a linear acoustic-advection system,” Computers & Fluids, vol. 59, no. 0, pp. 72–83, 2012 [Online]. Available at: http://dx.doi.org/10.1016/j.compfluid.2012.02.015
    @article{RuprechtKrause2012,
      author = {Ruprecht, Daniel and Krause, Rolf},
      doi = {10.1016/j.compfluid.2012.02.015},
      journal = {Computers \& Fluids},
      number = {0},
      pages = {72--83},
      title = {{Explicit parallel-in-time integration of a linear acoustic-advection system}},
      url = {http://dx.doi.org/10.1016/j.compfluid.2012.02.015},
      volume = {59},
      year = {2012}
    }
    
  16. H. Samuel, “Time domain parallelization for computational geodynamics,” Geochemistry, Geophysics, Geosystems, vol. 13, no. 1, 2012 [Online]. Available at: http://dx.doi.org/10.1029/2011GC003905
    @article{Samuel2012,
      author = {Samuel, H.},
      doi = {10.1029/2011GC003905},
      journal = {Geochemistry, Geophysics, Geosystems},
      number = {1},
      title = {{Time domain parallelization for computational geodynamics}},
      url = {http://dx.doi.org/10.1029/2011GC003905},
      volume = {13},
      year = {2012}
    }
    
  17. R. Speck, D. Ruprecht, R. Krause, M. Emmett, M. L. Minion, M. Winkel, and P. Gibbon, “A massively space-time parallel N-body solver,” in Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis, Los Alamitos, CA, USA, 2012, pp. 92:1–92:11 [Online]. Available at: http://dx.doi.org/10.1109/SC.2012.6
    @inproceedings{SpeckEtAl2012,
      address = {Los Alamitos, CA, USA},
      articleno = {92},
      author = {Speck, Robert and Ruprecht, Daniel and Krause, Rolf and Emmett, Matthew and Minion, Michael L. and Winkel, Mathias and Gibbon, Paul},
      booktitle = {Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis},
      doi = {10.1109/SC.2012.6},
      location = {Salt Lake City, Utah},
      numpages = {11},
      pages = {92:1--92:11},
      publisher = {IEEE Computer Society Press},
      series = {{SC '12}},
      title = {{A massively space-time parallel {N}-body solver}},
      url = {http://dx.doi.org/10.1109/SC.2012.6},
      year = {2012}
    }
    
  18. T. Takami and A. Nishida, “Parareal Acceleration of Matrix Multiplication,” in Applications, Tools and Techniques on the Road to Exascale Computing, 2012, vol. 22, pp. 437–444 [Online]. Available at: http://dx.doi.org/10.3233/978-1-61499-041-3-437
    @inproceedings{Takami2012,
      author = {Takami, Toshiya and Nishida, A.},
      booktitle = {{Applications, Tools and Techniques on the Road to Exascale Computing}},
      doi = {10.3233/978-1-61499-041-3-437},
      pages = {437--444},
      series = {{Advances in Parallel Computing}},
      title = {{Parareal Acceleration of Matrix Multiplication}},
      url = {http://dx.doi.org/10.3233/978-1-61499-041-3-437},
      volume = {22},
      year = {2012}
    }
    
  19. H. Xiao and E. Aubanel, “Scheduling of Tasks in the Parareal Algorithm for Heterogeneous Cloud Platforms,” in Parallel and Distributed Processing Symposium Workshops PhD Forum (IPDPSW), 2012 IEEE 26th International, 2012, pp. 1440–1448 [Online]. Available at: http://dx.doi.org/10.1109/IPDPSW.2012.181
    @inproceedings{XiaoAubanel2012,
      author = {Xiao, Hongtao and Aubanel, E.},
      booktitle = {{Parallel and Distributed Processing Symposium Workshops PhD Forum (IPDPSW), 2012 IEEE 26th International}},
      doi = {10.1109/IPDPSW.2012.181},
      pages = {1440--1448},
      title = {{Scheduling of Tasks in the Parareal Algorithm for Heterogeneous Cloud Platforms}},
      url = {http://dx.doi.org/10.1109/IPDPSW.2012.181},
      year = {2012}
    }
    
top

2011

  1. E. Aubanel, “Scheduling of Tasks in the Parareal Algorithm,” Parallel Computing, vol. 37, pp. 172–182, 2011 [Online]. Available at: http://dx.doi.org/10.1016/j.parco.2010.10.004
    @article{Aubanel2011,
      author = {Aubanel, E.},
      doi = {10.1016/j.parco.2010.10.004},
      journal = {Parallel Computing},
      pages = {172--182},
      title = {{Scheduling of Tasks in the Parareal Algorithm}},
      url = {http://dx.doi.org/10.1016/j.parco.2010.10.004},
      volume = {37},
      year = {2011}
    }
    
  2. X. Bai and J. L. Junkins, “Modified Chebyshev-Picard Iteration Methods for Orbit Propagation,” The Journal of the Astronautical Sciences, vol. 58, no. 4, pp. 583–613, Oct. 2011 [Online]. Available at: https://doi.org/10.1007/bf03321533
    @article{BaiEtAl2011,
      author = {Bai, Xiaoli and Junkins, John L.},
      doi = {10.1007/bf03321533},
      journal = {The Journal of the Astronautical Sciences},
      month = oct,
      number = {4},
      pages = {583--613},
      publisher = {Springer Science and Business Media {LLC}},
      title = {Modified Chebyshev-Picard Iteration Methods for Orbit Propagation},
      url = {https://doi.org/10.1007/bf03321533},
      volume = {58},
      year = {2011}
    }
    
  3. T. Cadeau and F. Magoules, “Coupling the Parareal Algorithm with the Waveform Relaxation Method for the Solution of Differential Algebraic Equations,” in Distributed Computing and Applications to Business, Engineering and Science (DCABES), 2011 Tenth International Symposium on, 2011, pp. 15–19 [Online]. Available at: http://dx.doi.org/10.1109/DCABES.2011.34
    @inproceedings{Cadeau2011,
      author = {Cadeau, T. and Magoules, F.},
      booktitle = {{Distributed Computing and Applications to Business, Engineering and Science (DCABES), 2011 Tenth International Symposium on}},
      doi = {10.1109/DCABES.2011.34},
      pages = {15--19},
      title = {{Coupling the Parareal Algorithm with the Waveform Relaxation Method for the Solution of Differential Algebraic Equations}},
      url = {http://dx.doi.org/10.1109/DCABES.2011.34},
      year = {2011}
    }
    
  4. A. J. Christlieb and B. W. Ong, “Implicit parallel time integrators,” Journal of Scientific Computing, vol. 49, no. 2, pp. 167–179, 2011 [Online]. Available at: http://dx.doi.org/10.1007/s10915-010-9452-4
    @article{ChristliebEtAl2011,
      author = {Christlieb, Andrew J. and Ong, Benjamin W.},
      doi = {10.1007/s10915-010-9452-4},
      journal = {Journal of Scientific Computing},
      number = {2},
      pages = {167--179},
      title = {{Implicit parallel time integrators}},
      url = {http://dx.doi.org/10.1007/s10915-010-9452-4},
      volume = {49},
      year = {2011}
    }
    
  5. C. Douglas, I. Kim, H. Lee, and D. Sheen, “Higher-order schemes for the Laplace transformation method for parabolic problems,” Computing and Visualization in Science, vol. 14, no. 1, pp. 39–47, 2011 [Online]. Available at: https://doi.org/10.1007/s00791-011-0156-6
    @article{DouglasEtAl2011,
      author = {Douglas, C. and Kim, I. and Lee, H. and Sheen, D.},
      doi = {10.1007/s00791-011-0156-6},
      journal = {Computing and Visualization in Science},
      number = {1},
      pages = {39--47},
      title = {{Higher-order schemes for the {L}aplace transformation method for parabolic problems}},
      url = {https://doi.org/10.1007/s00791-011-0156-6},
      volume = {14},
      year = {2011}
    }
    
  6. M. Duarte, M. Massot, and S. Descombes, “Parareal operator splitting techniques for multi-scale reaction waves: Numerical analysis and strategies,” ESAIM: Mathematical Modelling and Numerical Analysis, vol. 45, no. 05, pp. 825–852, Aug. 2011 [Online]. Available at: http://dx.doi.org/10.1051/m2an/2010104
    @article{DuarteEtAl2011,
      author = {Duarte, Max and Massot, Marc and Descombes, Stéphane},
      doi = {10.1051/m2an/2010104},
      issue = {05},
      journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
      month = aug,
      pages = {825--852},
      title = {{Parareal operator splitting techniques for multi-scale reaction waves: Numerical analysis and strategies}},
      url = {http://dx.doi.org/10.1051/m2an/2010104},
      volume = {45},
      year = {2011}
    }
    
  7. W. R. Elwasif, S. S. Foley, D. E. Bernholdt, L. A. Berry, D. Samaddar, D. E. Newman, and R. S. Sánchez, “A dependency-driven formulation of parareal: parallel-in-time solution of PDEs as a many-task application,” in Proceedings of the 2011 ACM international workshop on many task computing on grids and supercomputers, 2011, pp. 15–24 [Online]. Available at: http://dx.doi.org/10.1145/2132876.2132883
    @inproceedings{ElwasifEtAl2011,
      author = {Elwasif, Wael R. and Foley, Samantha S. and Bernholdt, David E. and Berry, Lee A. and Samaddar, Debasmita and Newman, David E. and Sánchez, Raul S.},
      booktitle = {{Proceedings of the 2011 ACM international workshop on many task computing on grids and supercomputers}},
      doi = {10.1145/2132876.2132883},
      pages = {15--24},
      title = {{A dependency-driven formulation of parareal: parallel-in-time solution of {PDE}s as a many-task application}},
      url = {http://dx.doi.org/10.1145/2132876.2132883},
      year = {2011}
    }
    
top

2010

  1. A. Blouza, B. Laurent, and S. M. Kaber, “Parallel in time algorithms with reduction methods for solving chemical kinetics,” Communications in Applied Mathematics and Computational Science, vol. 5, no. 2, pp. 241–263, 2010 [Online]. Available at: http://dx.doi.org/10.2140/camcos.2010.5.241
    @article{BlouzaEtAl2010,
      author = {Blouza, A. and Laurent, B. and Kaber, S.~M.},
      doi = {10.2140/camcos.2010.5.241},
      journal = {Communications in Applied Mathematics and Computational Science},
      number = {2},
      pages = {241--263},
      title = {{Parallel in time algorithms with reduction methods for solving chemical kinetics}},
      url = {http://dx.doi.org/10.2140/camcos.2010.5.241},
      volume = {5},
      year = {2010}
    }
    
  2. A. J. Christlieb, C. B. Macdonald, and B. W. Ong, “Parallel high-order integrators,” SIAM Journal on Scientific Computing, vol. 32, no. 2, pp. 818–835, 2010 [Online]. Available at: http://dx.doi.org/10.1137/09075740X
    @article{ChristliebEtAl2010,
      author = {Christlieb, Andrew J. and Macdonald, Colin B and Ong, Benjamin W.},
      doi = {10.1137/09075740X},
      journal = {SIAM Journal on Scientific Computing},
      number = {2},
      pages = {818--835},
      title = {{Parallel high-order integrators}},
      url = {http://dx.doi.org/10.1137/09075740X},
      volume = {32},
      year = {2010}
    }
    
  3. N. K. Fu and N. H. M. Ali, “Improving Pipelined Time Stepping Algorithm for Distributed Memory Multicomputers,” Sains Malaysiana, vol. 39, no. 6, pp. 1041–1048, 2010 [Online]. Available at: http://www.ukm.my/jsm/pdf_files/SM-PDF-39-6-2010/25 Ng Kok Fu.pdf
    @article{FuEtAl2010,
      author = {Fu, Ng Kok and Ali, Norhashidah Hj. Mohd},
      journal = {Sains Malaysiana},
      number = {6},
      pages = {1041--1048},
      title = {Improving Pipelined Time Stepping Algorithm for Distributed Memory Multicomputers},
      url = {http://www.ukm.my/jsm/pdf_files/SM-PDF-39-6-2010/25 Ng Kok Fu.pdf},
      volume = {39},
      year = {2010}
    }
    
  4. C. H. Lai, “On Transformation Methods and the Induced Parallel Properties for the Temporal Domain,” in Substructing Techniques and Domain Decomposition Methods, 2010, pp. 45–70 [Online]. Available at: http://dx.doi.org/10.4203/csets.24.3
    @inproceedings{Lai2010,
      author = {Lai, C.~H.},
      booktitle = {{Substructing Techniques and Domain Decomposition Methods}},
      doi = {10.4203/csets.24.3},
      pages = {45--70},
      series = {Computational Science, Engineering \& Technology Series},
      title = {{On Transformation Methods and the Induced Parallel Properties for the Temporal Domain}},
      url = {http://dx.doi.org/10.4203/csets.24.3},
      year = {2010}
    }
    
  5. B. Lepsa and A. Sandu, “An efficient error control mechanism for the adaptive ’parareal’ time discretization algorithm,” in Proceedings of the 2010 Spring Simulation Multiconference, San Diego, CA, USA, 2010, pp. 87:1–87:7 [Online]. Available at: http://dx.doi.org/10.1145/1878537.1878628
    @inproceedings{LepsaSandu2010,
      acmid = {1878628},
      address = {San Diego, CA, USA},
      articleno = {87},
      author = {Lepsa, Bianca and Sandu, Adrian},
      booktitle = {{Proceedings of the 2010 Spring Simulation Multiconference}},
      doi = {10.1145/1878537.1878628},
      location = {Orlando, Florida},
      numpages = {7},
      pages = {87:1--87:7},
      publisher = {Society for Computer Simulation International},
      series = {{SpringSim '10}},
      title = {{An efficient error control mechanism for the adaptive 'parareal' time discretization algorithm}},
      url = {http://dx.doi.org/10.1145/1878537.1878628},
      year = {2010}
    }
    
  6. T. Mathew, M. Sarkis, and C. E. Schaerer, “Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems,” SIAM Journal on Scientific Computing, vol. 32, no. 3, pp. 1180–1200, 2010 [Online]. Available at: http://dx.doi.org/10.1137/080717481
    @article{MathewEtAl2010,
      author = {Mathew, Tarek and Sarkis, Marcus and Schaerer, Christian E.},
      doi = {10.1137/080717481},
      journal = {SIAM Journal on Scientific Computing},
      number = {3},
      pages = {1180--1200},
      title = {{Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems}},
      url = {http://dx.doi.org/10.1137/080717481},
      volume = {32},
      year = {2010}
    }
    
  7. M. L. Minion, “A Hybrid Parareal Spectral Deferred Corrections Method,” Communications in Applied Mathematics and Computational Science, vol. 5, no. 2, pp. 265–301, 2010 [Online]. Available at: http://dx.doi.org/10.2140/camcos.2010.5.265
    @article{Minion2010,
      author = {Minion, Michael L.},
      doi = {10.2140/camcos.2010.5.265},
      journal = {Communications in Applied Mathematics and Computational Science},
      number = {2},
      pages = {265--301},
      title = {{A Hybrid Parareal Spectral Deferred Corrections Method}},
      url = {http://dx.doi.org/10.2140/camcos.2010.5.265},
      volume = {5},
      year = {2010}
    }
    
  8. S. Mitran, “Time parallel kinetic-molecular interaction algorithm for CPU/GPU computers,” Procedia Computer Science, vol. 1, no. 1, pp. 745–752, 2010 [Online]. Available at: http://dx.doi.org/10.1016/j.procs.2010.04.080
    @article{Mitran2010,
      author = {Mitran, Sorin},
      doi = {10.1016/j.procs.2010.04.080},
      journal = {Procedia Computer Science},
      number = {1},
      pages = {745--752},
      title = {{Time parallel kinetic-molecular interaction algorithm for {CPU}/{GPU} computers}},
      url = {http://dx.doi.org/10.1016/j.procs.2010.04.080},
      volume = {1},
      year = {2010}
    }
    
  9. D. Samaddar, D. E. Newman, and R. S. Sánchez, “Parallelization in time of numerical simulations of fully-developed plasma turbulence using the parareal algorithm,” Journal of Computational Physics, vol. 229, no. 18, pp. 6558–6573, 2010 [Online]. Available at: http://dx.doi.org/10.1016/j.jcp.2010.05.012
    @article{SamaddarEtAl2010,
      author = {Samaddar, Debasmita and Newman, David E. and S\'{a}nchez, Raul S.},
      doi = {10.1016/j.jcp.2010.05.012},
      issue = {18},
      journal = {Journal of Computational Physics},
      pages = {6558--6573},
      title = {{Parallelization in time of numerical simulations of fully-developed plasma turbulence using the parareal algorithm}},
      url = {http://dx.doi.org/10.1016/j.jcp.2010.05.012},
      volume = {229},
      year = {2010}
    }
    
top

2009

  1. P. Amodio and L. Brugnano, “Parallel solution in time of ODEs: some achievements and perspectives,” Applied Numerical Mathematics, vol. 59, no. 3–4, pp. 424–435, 2009 [Online]. Available at: http://dx.doi.org/10.1016/j.apnum.2008.03.024
    @article{AmodioBrugnano2009,
      author = {Amodio, Pierluigi and Brugnano, Luigi},
      doi = {10.1016/j.apnum.2008.03.024},
      journal = {Applied Numerical Mathematics},
      number = {3--4},
      pages = {424--435},
      title = {{Parallel solution in time of {ODE}s: some achievements and perspectives}},
      url = {http://dx.doi.org/10.1016/j.apnum.2008.03.024},
      volume = {59},
      year = {2009}
    }
    
  2. A. Borzì and G. von Winckel, “Multigrid Methods and Sparse-Grid Collocation Techniques for Parabolic Optimal Control Problems with Random Coefficients,” SIAM Journal on Scientific Computing, vol. 31, no. 3, pp. 2172–2192, 2009 [Online]. Available at: http://dx.doi.org/10.1137/070711311
    @article{BorziWinckel2009,
      author = {Borzì, Alfio and von Winckel, G.},
      doi = {{10.1137/070711311}},
      journal = {SIAM Journal on Scientific Computing},
      number = {3},
      pages = {2172--2192},
      title = {{Multigrid Methods and Sparse-Grid Collocation Techniques for Parabolic Optimal Control Problems with Random Coefficients}},
      url = {{http://dx.doi.org/10.1137/070711311}},
      volume = {31},
      year = {2009}
    }
    
  3. E. Celledoni and T. Kvamsdal, “Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium,” International Journal for Numerical Methods in Engineering, vol. 79, no. 5, pp. 576–598, 2009 [Online]. Available at: http://dx.doi.org/10.1002/nme.2585
    @article{Celledoni2009,
      author = {Celledoni, E. and Kvamsdal, T.},
      doi = {10.1002/nme.2585},
      journal = {International Journal for Numerical Methods in Engineering},
      number = {5},
      pages = {576--598},
      title = {{Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium}},
      url = {http://dx.doi.org/10.1002/nme.2585},
      volume = {79},
      year = {2009}
    }
    
  4. J. Cortial and C. Farhat, “A time-parallel implicit method for accelerating the solution of non-linear structural dynamics problems,” International Journal for Numerical Methods in Engineering, vol. 77, no. 4, pp. 451–470, 2009 [Online]. Available at: http://dx.doi.org/10.1002/nme.2418
    @article{CortialFarhat2009,
      author = {Cortial, Julien and Farhat, Charbel},
      doi = {10.1002/nme.2418},
      journal = {International Journal for Numerical Methods in Engineering},
      number = {4},
      pages = {451--470},
      title = {{A time-parallel implicit method for accelerating the solution of non-linear structural dynamics problems}},
      url = {http://dx.doi.org/10.1002/nme.2418},
      volume = {77},
      year = {2009}
    }
    
  5. S. Engblom, “Parallel in Time Simulation of Multiscale Stochastic Chemical Kinetics,” Multiscale Modeling & Simulation, vol. 8, no. 1, pp. 46–68, 2009 [Online]. Available at: http://dx.doi.org/10.1137/080733723
    @article{Engblom2009,
      author = {Engblom, S.},
      doi = {{10.1137/080733723}},
      journal = {Multiscale Modeling \& Simulation},
      number = {1},
      pages = {46--68},
      title = {{Parallel in Time Simulation of Multiscale Stochastic Chemical Kinetics}},
      url = {{http://dx.doi.org/10.1137/080733723}},
      volume = {8},
      year = {2009}
    }
    
  6. G. Frantziskonis, K. Muralidharan, P. Deymier, S. Simunovic, P. Nukala, and S. Pannala, “Time-parallel multiscale/multiphysics framework,” Journal of Computational Physics, vol. 228, no. 21, pp. 8085–8092, 2009 [Online]. Available at: http://dx.doi.org/10.1016/j.jcp.2009.07.035
    @article{FrantziskonisEtAl2009,
      author = {Frantziskonis, G. and Muralidharan, K. and Deymier, P. and Simunovic, S. and Nukala, P. and Pannala, S.},
      doi = {{10.1016/j.jcp.2009.07.035}},
      journal = {Journal of Computational Physics},
      number = {21},
      pages = {8085--8092},
      title = {{Time-parallel multiscale/multiphysics framework}},
      url = {{http://dx.doi.org/10.1016/j.jcp.2009.07.035}},
      volume = {228},
      year = {2009}
    }
    
  7. Y. Maday, “Symposium: Recent Advances on the Parareal in Time Algorithms,” AIP Conference Proceedings, vol. 1168, no. 1, pp. 1515–1516, 2009 [Online]. Available at: http://dx.doi.org/10.1063/1.3241386
    @article{Maday2009,
      author = {Maday, Yvon},
      doi = {{10.1063/1.3241386}},
      editor = {Simos, Theodore E. and Psihoyios, George and Tsitouras, Ch.},
      journal = {AIP Conference Proceedings},
      number = {1},
      pages = {1515--1516},
      title = {{Symposium: Recent Advances on the Parareal in Time Algorithms}},
      url = {{http://dx.doi.org/10.1063/1.3241386}},
      volume = {1168},
      year = {2009}
    }
    
  8. D. Mercerat, L. Guillot, and J.-P. Vilotte, “Application of the parareal algorithm for acoustic wave propagation,” in AIP Conference Proceedings, 2009, vol. 1168, pp. 1521–1524 [Online]. Available at: http://dx.doi.org/10.1063/1.3241388
    @inproceedings{Mercerat2009,
      author = {Mercerat, Diego and Guillot, Laurent and Vilotte, Jean-Pierre},
      booktitle = {{AIP Conference Proceedings}},
      doi = {{10.1063/1.3241388}},
      pages = {1521--1524},
      title = {{Application of the parareal algorithm for acoustic wave propagation}},
      url = {{http://dx.doi.org/10.1063/1.3241388}},
      volume = {1168},
      year = {2009}
    }
    
  9. N. R. Nassif, N. Makhoul-Karam, and Y. Soukiassian, “Computation of blowing-up solutions for second-order differential equations using re-scaling techniques,” Journal of Computational and Applied Mathematics, vol. 227, no. 1, pp. 185–195, 2009 [Online]. Available at: http://dx.doi.org/10.1016/j.cam.2008.07.020
    @article{NassifEtAl2009,
      author = {Nassif, Nabil R. and Makhoul-Karam, Noha and Soukiassian, Yeran},
      doi = {10.1016/j.cam.2008.07.020},
      journal = {Journal of Computational and Applied Mathematics},
      number = {1},
      pages = {185--195},
      title = {{Computation of blowing-up solutions for second-order differential equations using re-scaling techniques}},
      url = {http://dx.doi.org/10.1016/j.cam.2008.07.020},
      volume = {227},
      year = {2009}
    }
    
  10. S. Wu, B. Shi, and C. Huang, “Parareal-Richardson Algorithm for Solving Nonlinear ODEs and PDEs,” Communications in Computational Physics, vol. 6, no. 4, pp. 883–902, 2009 [Online]. Available at: http://dx.doi.org/10.4208/cicp.2009.v6.p883
    @article{Wu2009,
      author = {Wu, Shulin and Shi, Baochang and Huang, Chengming},
      doi = {10.4208/cicp.2009.v6.p883},
      issue = {4},
      journal = {Communications in Computational Physics},
      pages = {883--902},
      title = {Parareal-Richardson Algorithm for Solving Nonlinear ODEs and PDEs},
      url = {http://dx.doi.org/10.4208/cicp.2009.v6.p883},
      volume = {6},
      year = {2009}
    }
    
top

2008

  1. P. Amodio and L. Brugnano, “Recent Advances in the Parallel Solution in Time of ODEs,” AIP Conference Proceedings, vol. 1048, no. 1, pp. 867–870, 2008 [Online]. Available at: http://dx.doi.org/10.1063/1.2991069
    @article{AmodioBrugnano2008,
      author = {Amodio, Pierluigi and Brugnano, Luigi},
      doi = {{10.1063/1.2991069}},
      editor = {Simos, Theodore E. and Psihoyios, George and Tsitouras, Ch.},
      journal = {AIP Conference Proceedings},
      number = {1},
      pages = {867--870},
      title = {{Recent Advances in the Parallel Solution in Time of {ODE}s}},
      url = {{http://dx.doi.org/10.1063/1.2991069}},
      volume = {1048},
      year = {2008}
    }
    
  2. G. Bal and Q. Wu, “Symplectic Parareal,” in Domain Decomposition Methods in Science and Engineering XVII, vol. 60, U. Langer, M. Discacciati, D. E. Keyes, O. B. Widlund, and W. Zulehner, Eds. Springer Berlin Heidelberg, 2008, pp. 401–408 [Online]. Available at: http://dx.doi.org/10.1007/978-3-540-75199-1_51
    @incollection{BalEtAl2008,
      author = {Bal, Guillaume and Wu, Qi},
      booktitle = {{Domain Decomposition Methods in Science and Engineering {XVII}}},
      doi = {10.1007/978-3-540-75199-1_51},
      editor = {Langer, Ulrich and Discacciati, Marco and Keyes, DavidE. and Widlund, OlofB. and Zulehner, Walter},
      pages = {401--408},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Symplectic Parareal}},
      url = {http://dx.doi.org/10.1007/978-3-540-75199-1_51},
      volume = {60},
      year = {2008}
    }
    
  3. M. J. Gander, “Analysis of the Parareal Algorithm Applied to Hyperbolic Problems using Characteristics,” Bol. Soc. Esp. Mat. Apl., vol. 42, pp. 21–35, 2008.
    @article{Gander2008,
      author = {Gander, Martin J.},
      journal = {Bol. Soc. Esp. Mat. Apl.},
      pages = {21--35},
      title = {{Analysis of the Parareal Algorithm Applied to Hyperbolic Problems using Characteristics}},
      volume = {42},
      year = {2008}
    }
    
  4. M. J. Gander and E. Hairer, “Nonlinear Convergence Analysis for the Parareal Algorithm,” in Domain Decomposition Methods in Science and Engineering, 2008, vol. 60, pp. 45–56 [Online]. Available at: http://dx.doi.org/10.1007/978-3-540-75199-1_4
    @inproceedings{GanderHairer2008,
      author = {Gander, Martin J. and Hairer, Ernst},
      booktitle = {{Domain Decomposition Methods in Science and Engineering}},
      doi = {10.1007/978-3-540-75199-1_4},
      editor = {Langer, U. and Widlund, O. and Keyes, D.},
      pages = {45--56},
      publisher = {Springer},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Nonlinear Convergence Analysis for the Parareal Algorithm}},
      url = {http://dx.doi.org/10.1007/978-3-540-75199-1_4},
      volume = {60},
      year = {2008}
    }
    
  5. M. J. Gander and M. Petcu, “Analysis of a Krylov Subspace Enhanced Parareal Algorithm for Linear Problem,” ESAIM: Proc., vol. 25, pp. 114–129, 2008 [Online]. Available at: http://dx.doi.org/10.1051/proc:082508
    @article{GanderPetcu2008,
      author = {Gander, Martin J. and Petcu, M.},
      doi = {10.1051/proc:082508},
      journal = {ESAIM: Proc.},
      pages = {114--129},
      title = {{Analysis of a {K}rylov Subspace Enhanced Parareal Algorithm for Linear Problem}},
      url = {http://dx.doi.org/10.1051/proc:082508},
      volume = {25},
      year = {2008}
    }
    
  6. Y. Liu and J. Hu, “Modified propagators of parareal in time algorithm and application to Princeton Ocean model,” Int. J. for Numerical Methods in Fluids, vol. 57, no. 12, pp. 1793–1804, 2008 [Online]. Available at: http://dx.doi.org/10.1002/fld.1703
    @article{Liu2008,
      author = {Liu, Y. and Hu, J.},
      doi = {10.1002/fld.1703},
      journal = {Int. J. for Numerical Methods in Fluids},
      number = {12},
      pages = {1793--1804},
      title = {{Modified propagators of parareal in time algorithm and application to {P}rinceton Ocean model}},
      url = {http://dx.doi.org/10.1002/fld.1703},
      volume = {57},
      year = {2008}
    }
    
  7. Y. Maday and E. M. Rønquist, “Parallelization in time through tensor-product space-time solvers,” Comptes Rendus Mathematique, vol. 346, no. 1–2, pp. 113–118, 2008 [Online]. Available at: http://dx.doi.org/10.1016/j.crma.2007.09.012
    @article{MadayRonquist2008,
      author = {Maday, Yvon and Rønquist, Einar M.},
      doi = {{10.1016/j.crma.2007.09.012}},
      journal = {Comptes Rendus Mathematique},
      number = {1--2},
      pages = {113--118},
      title = {{Parallelization in time through tensor-product space-time solvers}},
      url = {{http://dx.doi.org/10.1016/j.crma.2007.09.012}},
      volume = {346},
      year = {2008}
    }
    
  8. M. L. Minion and S. A. Williams, “Parareal and spectral deferred corrections,” in AIP Conference Proceedings, 2008, vol. 1048, p. 388 [Online]. Available at: http://dx.doi.org/10.1063/1.2990941
    @inproceedings{MinionEtAl2008,
      author = {Minion, Michael L. and Williams, Sarah A.},
      booktitle = {{AIP Conference Proceedings}},
      doi = {10.1063/1.2990941},
      pages = {388},
      title = {{Parareal and spectral deferred corrections}},
      url = {http://dx.doi.org/10.1063/1.2990941},
      volume = {1048},
      year = {2008}
    }
    
  9. M. Sarkis, C. E. Schaerer, and T. Mathew, “Block Diagonal Parareal Preconditioner for Parabolic Optimal Control Problems,” in Domain Decomposition Methods in Science and Engineering XVII, vol. 60, U. Langer and al., Eds. Springer Berlin Heidelberg, 2008, pp. 409–416 [Online]. Available at: http://dx.doi.org/10.1007/978-3-540-75199-1_52
    @incollection{SarkisEtAl2008,
      author = {Sarkis, Marcus and Schaerer, Christian E. and Mathew, Tarek},
      booktitle = {{Domain Decomposition Methods in Science and Engineering {XVII}}},
      doi = {{10.1007/978-3-540-75199-1_52}},
      editor = {Langer, Ulrich and {al.}},
      pages = {409--416},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Block Diagonal Parareal Preconditioner for Parabolic Optimal Control Problems}},
      url = {{http://dx.doi.org/10.1007/978-3-540-75199-1_52}},
      volume = {60},
      year = {2008}
    }
    
top

2007

  1. D. S. Daoud, “Stability of the Parareal Time Discretization for Parabolic Inverse Problems,” in Domain Decomposition Methods in Science and Engineering XVI, vol. 55, O. B. Widlund and D. E. Keyes, Eds. Springer Berlin Heidelberg, 2007, pp. 275–282 [Online]. Available at: http://dx.doi.org/10.1007/978-3-540-34469-8_32
    @incollection{Daoud2007,
      author = {Daoud, Daoud S.},
      booktitle = {{Domain Decomposition Methods in Science and Engineering {XVI}}},
      doi = {{10.1007/978-3-540-34469-8_32}},
      editor = {Widlund, Olof B. and Keyes, David E.},
      pages = {275--282},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Stability of the Parareal Time Discretization for Parabolic Inverse Problems}},
      url = {{http://dx.doi.org/10.1007/978-3-540-34469-8_32}},
      volume = {55},
      year = {2007}
    }
    
  2. M. J. Gander and M. Petcu, “Analysis of a Modified Parareal Algorithm for Second-Order Ordinary Differential Equations,” in AIP Conference Proceedings, 2007, vol. 936, p. 233 [Online]. Available at: http://dx.doi.org/10.1063/1.2790116
    @inproceedings{GanderPetcu2007,
      author = {Gander, Martin J. and Petcu, M.},
      booktitle = {{AIP Conference Proceedings}},
      doi = {{10.1063/1.2790116}},
      pages = {233},
      title = {{Analysis of a Modified Parareal Algorithm for Second-Order Ordinary Differential Equations}},
      url = {{http://dx.doi.org/10.1063/1.2790116}},
      volume = {936},
      year = {2007}
    }
    
  3. M. J. Gander and S. Vandewalle, “On the Superlinear and Linear Convergence of the Parareal Algorithm,” in Domain Decomposition Methods in Science and Engineering, vol. 55, O. B. Widlund and D. E. Keyes, Eds. Springer Berlin Heidelberg, 2007, pp. 291–298 [Online]. Available at: http://dx.doi.org/10.1007/978-3-540-34469-8_34
    @incollection{GanderVandewalle2007,
      author = {Gander, Martin J. and Vandewalle, Stefan},
      booktitle = {{Domain Decomposition Methods in Science and Engineering}},
      doi = {10.1007/978-3-540-34469-8_34},
      editor = {Widlund, Olof B. and Keyes, David E.},
      pages = {291--298},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{On the Superlinear and Linear Convergence of the Parareal Algorithm}},
      url = {http://dx.doi.org/10.1007/978-3-540-34469-8_34},
      volume = {55},
      year = {2007}
    }
    
  4. M. J. Gander and S. Vandewalle, “Analysis of the Parareal Time-Parallel Time-Integration Method,” SIAM Journal on Scientific Computing, vol. 29, no. 2, pp. 556–578, 2007 [Online]. Available at: http://dx.doi.org/10.1137/05064607X
    @article{GanderVandewalle2007_SISC,
      author = {Gander, Martin J. and Vandewalle, Stefan},
      doi = {10.1137/05064607X},
      journal = {SIAM Journal on Scientific Computing},
      number = {2},
      pages = {556--578},
      title = {{Analysis of the Parareal Time-Parallel Time-Integration Method}},
      url = {http://dx.doi.org/10.1137/05064607X},
      volume = {29},
      year = {2007}
    }
    
  5. D. Guibert and D. Tromeur-Dervout, “Adaptive Parareal for Systems of ODEs,” in Domain Decomposition Methods in Science and Engineering XVI, vol. 55, O. B. Widlund and D. E. Keyes, Eds. Springer Berlin Heidelberg, 2007, pp. 587–594 [Online]. Available at: http://dx.doi.org/10.1007/978-3-540-34469-8_73
    @incollection{GuibertTromeur2007,
      author = {Guibert, David and Tromeur-Dervout, Damien},
      booktitle = {{Domain Decomposition Methods in Science and Engineering {XVI}}},
      doi = {10.1007/978-3-540-34469-8_73},
      editor = {Widlund, OlofB. and Keyes, DavidE.},
      pages = {587--594},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Adaptive Parareal for Systems of {ODE}s}},
      url = {http://dx.doi.org/10.1007/978-3-540-34469-8_73},
      volume = {55},
      year = {2007}
    }
    
  6. D. Guibert and D. Tromeur-Dervout, “Parallel adaptive time domain decomposition for stiff systems of ODEs/DAEs,” Computers & Structures, vol. 85, no. 9, pp. 553–562, 2007 [Online]. Available at: http://dx.doi.org/10.1016/j.compstruc.2006.08.040
    @article{GuibertTromeur2007_CAS,
      author = {Guibert, David and Tromeur-Dervout, Damien},
      doi = {10.1016/j.compstruc.2006.08.040},
      journal = {Computers \& Structures},
      number = {9},
      pages = {553--562},
      title = {{Parallel adaptive time domain decomposition for stiff systems of {ODE}s/{DAE}s}},
      url = {http://dx.doi.org/10.1016/j.compstruc.2006.08.040},
      volume = {85},
      year = {2007}
    }
    
  7. D. Guibert and D. Tromeur-Dervout, “Parallel deferred correction method for CFD problems,” in Parallel Computational Fluid Dynamics 2006, J. H. Kwon, A. Ecer, N. Satofuka, J. Periaux, and P. Fox, Eds. Amsterdam: Elsevier, 2007, pp. 131–138 [Online]. Available at: http://dx.doi.org/10.1016/B978-044453035-6/50019-5
    @incollection{GuibertTromeur2007_PCFD,
      address = {Amsterdam},
      author = {Guibert, David and Tromeur-Dervout, Damien},
      booktitle = {{Parallel Computational Fluid Dynamics 2006}},
      doi = {10.1016/B978-044453035-6/50019-5},
      editor = {Kwon, J.H. and Ecer, A. and Satofuka, N. and Periaux, J. and Fox, P.},
      pages = {131--138},
      publisher = {Elsevier},
      title = {{Parallel deferred correction method for {CFD} problems}},
      url = {http://dx.doi.org/10.1016/B978-044453035-6/50019-5},
      year = {2007}
    }
    
  8. S. M. Kaber and Y. Maday, “Parareal in time approximation of the Korteveg-deVries-Burgers’ equations,” PAMM, vol. 7, no. 1, pp. 1026403–1026404, 2007 [Online]. Available at: http://dx.doi.org/10.1002/pamm.200700574
    @article{KaberMaday2007,
      author = {Kaber, S. M. and Maday, Yvon},
      doi = {{10.1002/pamm.200700574}},
      issue = {1},
      journal = {PAMM},
      pages = {1026403--1026404},
      title = {{Parareal in time approximation of the {Korteveg-deVries-Burgers}' equations}},
      url = {{http://dx.doi.org/10.1002/pamm.200700574}},
      volume = {7},
      year = {2007}
    }
    
  9. Y. Maday, J. Salomon, and G. Turinici, “Monotonic parareal control for quantum systems,” SIAM Journal on Numerical Analysis, vol. 45, no. 6, pp. 2468–2482, 2007 [Online]. Available at: http://dx.doi.org/10.1137/050647086
    @article{MadayEtAl2007,
      author = {Maday, Yvon and Salomon, Julien and Turinici, Gabriel},
      doi = {10.1137/050647086},
      journal = {SIAM Journal on Numerical Analysis},
      number = {6},
      pages = {2468--2482},
      title = {{Monotonic parareal control for quantum systems}},
      url = {http://dx.doi.org/10.1137/050647086},
      volume = {45},
      year = {2007}
    }
    
  10. S. Ulbrich, “7. Generalized SQP Methods with ‘Parareal’ Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization,” in Real-Time PDE-Constrained Optimization, SIAM, 2007, pp. 145–168 [Online]. Available at: https://dx.doi.org/10.1137/1.9780898718935.ch7
    @inbook{Ulbrich2007,
      author = {Ulbrich, Stefan},
      booktitle = {Real-Time PDE-Constrained Optimization},
      chapter = {},
      doi = {10.1137/1.9780898718935.ch7},
      pages = {145--168},
      publisher = {SIAM},
      title = {7. Generalized SQP Methods with ``Parareal'' Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization},
      url = {https://dx.doi.org/10.1137/1.9780898718935.ch7},
      year = {2007}
    }
    
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2006

  1. C. Farhat, J. Cortial, C. Dastillung, and H. Bavestrello, “Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses,” International Journal for Numerical Methods in Engineering, vol. 67, no. 5, pp. 697–724, 2006 [Online]. Available at: http://dx.doi.org/10.1002/nme.1653
    @article{FarhatEtAl2006,
      author = {Farhat, Charbel and Cortial, Julien and Dastillung, C. and Bavestrello, H.},
      doi = {10.1002/nme.1653},
      issue = {5},
      journal = {International Journal for Numerical Methods in Engineering},
      pages = {697--724},
      title = {{Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses}},
      url = {http://dx.doi.org/10.1002/nme.1653},
      volume = {67},
      year = {2006}
    }
    
  2. I. Garrido, B. Lee, G. E. Fladmark, and M. S. Espedal, “Convergent iterative schemes for time parallelization,” Mathematics of Computation, vol. 75, no. 255, pp. 1403–1429, Feb. 2006 [Online]. Available at: https://doi.org/10.1090/s0025-5718-06-01832-1
    @article{GarridoEtAl2006,
      author = {Garrido, Izaskun and Lee, Barry and Fladmark, Gunnar E. and Espedal, Magne S.},
      doi = {10.1090/s0025-5718-06-01832-1},
      journal = {Mathematics of Computation},
      month = feb,
      number = {255},
      pages = {1403--1429},
      publisher = {American Mathematical Society ({AMS})},
      title = {Convergent iterative schemes for time parallelization},
      url = {https://doi.org/10.1090/s0025-5718-06-01832-1},
      volume = {75},
      year = {2006}
    }
    
  3. N. R. Nassif, N. M. Karam, and Y. Soukiassian, “A New Approach for Solving Evolution Problems in Time-Parallel Way,” in Computational Science – ICCS 2006, vol. 3991, V. N. Alexandrov, G. D. Albada, P. M. A. Sloot, and J. Dongarra, Eds. Springer Berlin Heidelberg, 2006, pp. 148–155 [Online]. Available at: http://dx.doi.org/10.1007/11758501_24
    @incollection{NassifEtAl2006,
      author = {Nassif, Nabil R. and Karam, Noha Makhoul and Soukiassian, Yeran},
      booktitle = {{Computational Science -- ICCS 2006}},
      doi = {{10.1007/11758501_24}},
      editor = {Alexandrov, Vassil N. and Albada, Geert Dick and Sloot, Peter M.A. and Dongarra, Jack},
      pages = {148--155},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computer Science}},
      title = {{A New Approach for Solving Evolution Problems in Time-Parallel Way}},
      url = {{http://dx.doi.org/10.1007/11758501_24}},
      volume = {3991},
      year = {2006}
    }
    
  4. J. M. F. Trindade and J. C. F. Pereira, “Parallel-in-Time Simulation of Two-Dimensional, Unsteady, Incompressible Laminar Flows,” Numerical Heat Transfer, Part B: Fundamentals, vol. 50, no. 1, pp. 25–40, 2006 [Online]. Available at: http://dx.doi.org/10.1080/10407790500459379
    @article{Trindade2006,
      author = {Trindade, J.~M.~F. and Pereira, J.~C.~F.},
      doi = {10.1080/10407790500459379},
      journal = {Numerical Heat Transfer, Part B: Fundamentals},
      number = {1},
      pages = {25--40},
      title = {{Parallel-in-Time Simulation of Two-Dimensional, Unsteady, Incompressible Laminar Flows}},
      url = {http://dx.doi.org/10.1080/10407790500459379},
      volume = {50},
      year = {2006}
    }
    
  5. Y. Yu, A. Srinivasan, and N. Chandra, “Scalable Time-Parallelization of Molecular Dynamics Simulations in Nano Mechanics,” in Parallel Processing, 2006. ICPP 2006. International Conference on, 2006, pp. 119–126 [Online]. Available at: http://dx.doi.org/10.1109/ICPP.2006.64
    @inproceedings{Yu2006,
      author = {Yu, Yanan and Srinivasan, Ashok and Chandra, Namas},
      booktitle = {{Parallel Processing, 2006. ICPP 2006. International Conference on}},
      doi = {10.1109/ICPP.2006.64},
      pages = {119--126},
      title = {{Scalable Time-Parallelization of Molecular Dynamics Simulations in Nano Mechanics}},
      url = {http://dx.doi.org/10.1109/ICPP.2006.64},
      year = {2006}
    }
    
top

2005

  1. G. Bal, “On the convergence and the stability of the parareal algorithm to solve partial differential equations,” in Domain Decomposition Methods in Science and Engineering, Berlin, 2005, vol. 40, pp. 426–432 [Online]. Available at: http://dx.doi.org/10.1007/3-540-26825-1_43
    @inproceedings{Bal2005,
      address = {Berlin},
      author = {Bal, Guillaume},
      booktitle = {{Domain Decomposition Methods in Science and Engineering}},
      doi = {10.1007/3-540-26825-1_43},
      editor = {Kornhuber, Ralf and {et al.}},
      pages = {426--432},
      publisher = {Springer},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{On the convergence and the stability of the parareal algorithm to solve partial differential equations}},
      url = {http://dx.doi.org/10.1007/3-540-26825-1_43},
      volume = {40},
      year = {2005}
    }
    
  2. A. Borzì and R. Griesse, “Experiences with a space–time multigrid method for the optimal control of a chemical turbulence model,” International Journal for Numerical Methods in Fluids, vol. 47, no. 8-9, pp. 879–885, 2005 [Online]. Available at: http://dx.doi.org/10.1002/fld.904
    @article{Borzi2005,
      author = {Borzì, Alfio and Griesse, R.},
      doi = {10.1002/fld.904},
      journal = {International Journal for Numerical Methods in Fluids},
      number = {8-9},
      pages = {879--885},
      title = {{Experiences with a space--time multigrid method for the optimal control of a chemical turbulence model}},
      url = {http://dx.doi.org/10.1002/fld.904},
      volume = {47},
      year = {2005}
    }
    
  3. P. F. Fischer, F. Hecht, and Y. Maday, “A parareal in time semi-implicit approximation of the Navier-Stokes equations,” in Domain Decomposition Methods in Science and Engineering, Berlin, 2005, vol. 40, pp. 433–440 [Online]. Available at: http://dx.doi.org/10.1007/3-540-26825-1_44
    @inproceedings{FischerEtAl2005,
      address = {Berlin},
      author = {Fischer, P.~F. and Hecht, F. and Maday, Yvon},
      booktitle = {Domain Decomposition Methods in Science and Engineering},
      doi = {10.1007/3-540-26825-1_44},
      editor = {Kornhuber, Ralf and {et al.}},
      pages = {433--440},
      publisher = {Springer},
      series = {Lecture Notes in Computational Science and Engineering},
      title = {A parareal in time semi-implicit approximation of the {N}avier-{S}tokes equations},
      url = {http://dx.doi.org/10.1007/3-540-26825-1_44},
      volume = {40},
      year = {2005}
    }
    
  4. I. Garrido, M. S. Espedal, and G. E. Fladmark, “A Convergent Algorithm for Time Parallelization Applied to Reservoir Simulation,” in Domain Decomposition Methods in Science and Engineering, vol. 40, T. J. Barth and al., Eds. Springer Berlin Heidelberg, 2005, pp. 469–476 [Online]. Available at: http://dx.doi.org/10.1007/3-540-26825-1_48
    @incollection{GarridoEtAl2005,
      author = {Garrido, Izaskun and Espedal, Magne S. and Fladmark, Gunnar E.},
      booktitle = {{Domain Decomposition Methods in Science and Engineering}},
      doi = {10.1007/3-540-26825-1_48},
      editor = {Barth, Timothy J. and {al.}},
      pages = {469--476},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{A Convergent Algorithm for Time Parallelization Applied to Reservoir Simulation}},
      url = {http://dx.doi.org/10.1007/3-540-26825-1_48},
      volume = {40},
      year = {2005}
    }
    
  5. Y. Maday and G. Turinici, “The parareal in time iterative solver: A further direction to parallel implementation,” in Domain Decomposition Methods in Science and Engineering, Berlin, 2005, vol. 40, pp. 441–448 [Online]. Available at: http://dx.doi.org/10.1007/3-540-26825-1_45
    @inproceedings{MadayTurinici2005,
      address = {Berlin},
      author = {Maday, Yvon and Turinici, Gabriel},
      booktitle = {{Domain Decomposition Methods in Science and Engineering}},
      doi = {{10.1007/3-540-26825-1_45}},
      editor = {Kornhuber, Ralf and {et al.}},
      pages = {441--448},
      publisher = {Springer},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{The parareal in time iterative solver: A further direction to parallel implementation}},
      url = {{http://dx.doi.org/10.1007/3-540-26825-1_45}},
      volume = {40},
      year = {2005}
    }
    
  6. B. A. Schmitt, R. Weiner, and H. Podhaisky, “Multi-Implicit Peer Two-Step W-Methods for Parallel Time Integration,” BIT Numerical Mathematics, vol. 45, no. 1, pp. 197–217, 2005 [Online]. Available at: http://dx.doi.org/10.1007/s10543-005-2635-y
    @article{SchmittEtAl2005,
      author = {Schmitt, Bernhard A. and Weiner, Ruediger and Podhaisky, Helmut},
      doi = {10.1007/s10543-005-2635-y},
      journal = {BIT Numerical Mathematics},
      number = {1},
      pages = {197--217},
      title = {Multi-Implicit Peer Two-Step W-Methods for Parallel Time Integration},
      url = {http://dx.doi.org/10.1007/s10543-005-2635-y},
      volume = {45},
      year = {2005}
    }
    
  7. A. Srinivasan and N. Chandra, “Latency tolerance through parallelization of time in scientific applications,” Parallel Computing, vol. 31, no. 7, pp. 777–796, 2005 [Online]. Available at: http://dx.doi.org/10.1016/j.parco.2005.04.008
    @article{SrinivasanChandra2005,
      author = {Srinivasan, Ashok and Chandra, Namas},
      doi = {10.1016/j.parco.2005.04.008},
      journal = {Parallel Computing},
      number = {7},
      pages = {777--796},
      title = {{Latency tolerance through parallelization of time in scientific applications}},
      url = {http://dx.doi.org/10.1016/j.parco.2005.04.008},
      volume = {31},
      year = {2005}
    }
    
  8. A. Srinivasan, Y. Yu, and N. Chandra, “Application of Reduce Order Modeling to Time Parallelization,” in High Performance Computing – HiPC 2005, vol. 3769, D. A. Bader, M. Parashar, V. Sridhar, and V. K. Prasanna, Eds. Springer Berlin Heidelberg, 2005, pp. 106–117 [Online]. Available at: http://dx.doi.org/10.1007/11602569_15
    @incollection{SrinivasanEtAl2005,
      author = {Srinivasan, Ashok and Yu, Yanan and Chandra, Namas},
      booktitle = {{High Performance Computing -- HiPC 2005}},
      doi = {10.1007/11602569_15},
      editor = {Bader, David A. and Parashar, Manish and Sridhar, Varadarajan and Prasanna, Viktor K.},
      isbn = {978-3-540-30936-9},
      pages = {106--117},
      publisher = {Springer Berlin Heidelberg},
      series = {{Lecture Notes in Computer Science}},
      title = {{Application of Reduce Order Modeling to Time Parallelization}},
      url = {http://dx.doi.org/10.1007/11602569_15},
      volume = {3769},
      year = {2005}
    }
    
  9. G. A. Staff and E. M. Rønquist, “Stability of the parareal algorithm,” in Domain Decomposition Methods in Science and Engineering, Berlin, 2005, vol. 40, pp. 449–456 [Online]. Available at: http://dx.doi.org/10.1007/3-540-26825-1_46
    @inproceedings{StaffRonquist2005,
      address = {Berlin},
      author = {Staff, G.~A. and Rønquist, Einar M.},
      booktitle = {{Domain Decomposition Methods in Science and Engineering}},
      doi = {10.1007/3-540-26825-1_46},
      editor = {Kornhuber, Ralf and {et al.}},
      pages = {449--456},
      publisher = {Springer},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{Stability of the parareal algorithm}},
      url = {http://dx.doi.org/10.1007/3-540-26825-1_46},
      volume = {40},
      year = {2005}
    }
    
  10. V. Thomée, “A high order parallel method for time discretization of parabolic type equations based on Laplace transformation and quadrature,” International Journal of Numerical Analysis and Modeling, vol. 2, no. 1, pp. 85–96, 2005.
    @article{Thome2005,
      author = {Thom\'{e}e, Vidar},
      journal = {International Journal of Numerical Analysis and Modeling},
      number = {1},
      pages = {85--96},
      title = {A high order parallel method for time discretization of parabolic type equations based on {L}aplace transformation and quadrature},
      volume = {2},
      year = {2005}
    }
    
top

2000 - 2004

  1. D. Sheen, I. H. Sloan, and V. Thomée, “A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature,” Mathematics of Computation, vol. 69, no. 229, pp. 177–195, 2000 [Online]. Available at: https://doi.org/10.1090/S0025-5718-99-01098-4
    @article{SheenEtAl2000,
      author = {Sheen, Dongwoo and Sloan, Ian H. and Thom\'{e}e, Vidar},
      doi = {10.1090/S0025-5718-99-01098-4},
      journal = {Mathematics of Computation},
      number = {229},
      pages = {177--195},
      title = {{A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature}},
      url = {https://doi.org/10.1090/S0025-5718-99-01098-4},
      volume = {69},
      year = {2000}
    }
    
  2. M. A. Botchev and H. A. van der Vorst, “A parallel nearly implicit time-stepping scheme,” Journal of Computational and Applied Mathematics, vol. 137, no. 2, pp. 229–243, 2001 [Online]. Available at: http://dx.doi.org/10.1016/S0377-0427(01)00358-2
    @article{BotchevVorst2001,
      author = {Botchev, M.~A. and van der Vorst, H.~A.},
      doi = {10.1016/S0377-0427(01)00358-2},
      journal = {Journal of Computational and Applied Mathematics},
      number = {2},
      pages = {229--243},
      title = {{A parallel nearly implicit time-stepping scheme}},
      url = {http://dx.doi.org/10.1016/S0377-0427(01)00358-2},
      volume = {137},
      year = {2001}
    }
    
  3. J.-L. Lions, Y. Maday, and G. Turinici, “A ‘parareal’ in time discretization of PDE’s,” Comptes Rendus de l’Académie des Sciences - Series I - Mathematics, vol. 332, pp. 661–668, 2001 [Online]. Available at: http://dx.doi.org/10.1016/S0764-4442(00)01793-6
    @article{LionsEtAl2001,
      author = {Lions, J.-L. and Maday, Yvon and Turinici, Gabriel},
      doi = {10.1016/S0764-4442(00)01793-6},
      journal = {Comptes Rendus de l'Académie des Sciences - Series I - Mathematics},
      pages = {661--668},
      title = {{A "parareal" in time discretization of {PDE}'s}},
      url = {http://dx.doi.org/10.1016/S0764-4442(00)01793-6},
      volume = {332},
      year = {2001}
    }
    
  4. L. Baffico, S. Bernard, Y. Maday, G. Turinici, and G. Zérah, “Parallel-in-time molecular-dynamics simulations,” Phys. Rev. E, vol. 66, no. 5, p. 057701, 2002 [Online]. Available at: http://link.aps.org/doi/10.1103/PhysRevE.66.057701
    @article{BafficoEtAl2002,
      author = {Baffico, L. and Bernard, S. and Maday, Yvon and Turinici, Gabriel and Zérah, G.},
      doi = {10.1103/PhysRevE.66.057701},
      issue = {5},
      journal = {Phys. Rev. E},
      numpages = {4},
      pages = {057701},
      title = {{Parallel-in-time molecular-dynamics simulations}},
      url = {http://link.aps.org/doi/10.1103/PhysRevE.66.057701},
      volume = {66},
      year = {2002}
    }
    
  5. G. Bal and Y. Maday, “A ‘Parareal’ time discretization for non-linear PDE’s with application to the pricing of an American Put,” in Recent Developments in Domain Decomposition Methods, vol. 23, L. Pavarino and A. Toselli, Eds. Springer Berlin, 2002, pp. 189–202 [Online]. Available at: http://dx.doi.org/10.1007/978-3-642-56118-4_12
    @incollection{BalMaday2002,
      author = {Bal, Guillaume and Maday, Yvon},
      booktitle = {{Recent Developments in Domain Decomposition Methods}},
      doi = {10.1007/978-3-642-56118-4_12},
      editor = {Pavarino, L. and Toselli, A.},
      pages = {189--202},
      publisher = {Springer Berlin},
      series = {{Lecture Notes in Computational Science and Engineering}},
      title = {{A "Parareal" time discretization for non-linear {PDE}'s with application to the pricing of an American Put}},
      url = {http://dx.doi.org/10.1007/978-3-642-56118-4_12},
      volume = {23},
      year = {2002}
    }
    
  6. E. Giladi and H. B. Keller, “Space-time domain decomposition for parabolic problems,” Numerische Mathematik, vol. 93, no. 2, pp. 279–313, 2002 [Online]. Available at: https://doi.org/10.1007/s002110100345
    @article{GiladiKeller2002,
      author = {Giladi, Eldar and Keller, Herbert B.},
      doi = {10.1007/s002110100345},
      journal = {Numerische Mathematik},
      number = {2},
      pages = {279--313},
      title = {Space-time domain decomposition for parabolic problems},
      url = {https://doi.org/10.1007/s002110100345},
      volume = {93},
      year = {2002}
    }
    
  7. Y. Maday and G. Turinici, “A parareal in time procedure for the control of partial differential equations,” Comptes Rendus Mathématique, vol. 335, no. 4, pp. 387–392, 2002 [Online]. Available at: http://dx.doi.org/10.1016/S1631-073X(02)02467-6
    @article{MadayTurinici2002,
      author = {Maday, Yvon and Turinici, Gabriel},
      doi = {10.1016/S1631-073X(02)02467-6},
      journal = {Comptes Rendus Mathématique},
      number = {4},
      pages = {387--392},
      title = {{A parareal in time procedure for the control of partial differential equations}},
      url = {http://dx.doi.org/10.1016/S1631-073X(02)02467-6},
      volume = {335},
      year = {2002}
    }
    
  8. C. Farhat and M. Chandesris, “Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications,” International Journal for Numerical Methods in Engineering, vol. 58, no. 9, pp. 1397–1434, 2003 [Online]. Available at: http://dx.doi.org/10.1002/nme.860
    @article{FarhatEtAl2003,
      author = {Farhat, Charbel and Chandesris, M.},
      doi = {10.1002/nme.860},
      journal = {International Journal for Numerical Methods in Engineering},
      number = {9},
      pages = {1397--1434},
      title = {{Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications}},
      url = {http://dx.doi.org/10.1002/nme.860},
      volume = {58},
      year = {2003}
    }
    
  9. Y. Maday and G. Turinici, “Parallel in time algorithms for quantum control: Parareal time discretization scheme,” Int. J. Quant. Chem., vol. 93, no. 3, pp. 223–228, 2003 [Online]. Available at: http://dx.doi.org/10.1002/qua.10554
    @article{MadayTurinici2003,
      author = {Maday, Yvon and Turinici, Gabriel},
      doi = {10.1002/qua.10554},
      journal = {Int. J. Quant. Chem.},
      number = {3},
      pages = {223--228},
      title = {{Parallel in time algorithms for quantum control: Parareal time discretization scheme}},
      url = {http://dx.doi.org/10.1002/qua.10554},
      volume = {93},
      year = {2003}
    }
    
  10. D. Sheen, I. H. Sloan, and V. Thomée, “A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature,” IMA Journal of Numerical Analysis, vol. 23, no. 2, pp. 269–299, 2003 [Online]. Available at: https://doi.org/10.1093/imanum/23.2.269
    @article{SheenEtAl2003,
      author = {Sheen, Dongwoo and Sloan, Ian H. and Thom\'{e}e, Vidar},
      doi = {10.1093/imanum/23.2.269},
      journal = {IMA Journal of Numerical Analysis},
      number = {2},
      pages = {269--299},
      title = {{A parallel method for time discretization of parabolic equations based on {L}aplace transformation and quadrature}},
      url = {https://doi.org/10.1093/imanum/23.2.269},
      volume = {23},
      year = {2003}
    }
    
  11. J. M. F. Trindade and J. C. F. Pereira, “Parallel-in-time simulation of the unsteady Navier-Stokes equations for incompressible flow,” International Journal for Numerical Methods in Fluids, vol. 45, no. 10, pp. 1123–1136, 2004 [Online]. Available at: http://dx.doi.org/10.1002/fld.732
    @article{Trindade2004,
      author = {Trindade, J.~M.~F. and Pereira, J.~C.~F.},
      doi = {10.1002/fld.732},
      journal = {International Journal for Numerical Methods in Fluids},
      number = {10},
      pages = {1123--1136},
      title = {{Parallel-in-time simulation of the unsteady {N}avier-{S}tokes equations for incompressible flow}},
      url = {http://dx.doi.org/10.1002/fld.732},
      volume = {45},
      year = {2004}
    }
    
top

1995 - 1999

  1. K. Burrage, Parallel and sequential methods for ordinary differential equations. The Clarendon Press, Oxford University Press, New York, 1995, p. xvi+446.
    @book{Burrage1995,
      author = {Burrage, Kevin},
      isbn = {0-19-853432-9},
      note = {{Oxford Science Publications}},
      pages = {xvi+446},
      publisher = {{The Clarendon Press, Oxford University Press, New York}},
      series = {{Numerical Mathematics and Scientific Computation}},
      title = {{Parallel and sequential methods for ordinary differential equations}},
      year = {1995}
    }
    
  2. A. Deshpande, S. Malhotra, M. Schultz, and C. Douglas, “A rigorous analysis of time domain parallelism,” Parallel Algorithms and Applications, vol. 6, no. 1, pp. 53–62, 1995 [Online]. Available at: http://dx.doi.org/10.1080/10637199508915498
    @article{DeshpandeEtAl1995,
      author = {Deshpande, A. and Malhotra, S. and Schultz, M. and Douglas, C.},
      doi = {10.1080/10637199508915498},
      journal = {Parallel Algorithms and Applications},
      number = {1},
      pages = {53--62},
      title = {{A rigorous analysis of time domain parallelism}},
      url = {http://dx.doi.org/10.1080/10637199508915498},
      volume = {6},
      year = {1995}
    }
    
  3. G. Horton, S. Vandewalle, and P. Worley, “An Algorithm with Polylog Parallel Complexity for Solving Parabolic Partial Differential Equations,” SIAM Journal on Scientific Computing, vol. 16, no. 3, pp. 531–541, 1995 [Online]. Available at: http://dx.doi.org/10.1137/0916034
    @article{HortonEtAl1995,
      author = {Horton, Graham and Vandewalle, Stefan and Worley, P.},
      doi = {10.1137/0916034},
      journal = {SIAM Journal on Scientific Computing},
      number = {3},
      pages = {531--541},
      title = {{An Algorithm with Polylog Parallel Complexity for Solving Parabolic Partial Differential Equations}},
      url = {http://dx.doi.org/10.1137/0916034},
      volume = {16},
      year = {1995}
    }
    
  4. G. Horton and S. Vandewalle, “A Space-Time Multigrid Method for Parabolic Partial Differential Equations,” SIAM Journal on Scientific Computing, vol. 16, no. 4, pp. 848–864, 1995 [Online]. Available at: http://dx.doi.org/10.1137/0916050
    @article{HortonVandewalle1995,
      author = {Horton, Graham and Vandewalle, Stefan},
      doi = {10.1137/0916050},
      journal = {SIAM Journal on Scientific Computing},
      number = {4},
      pages = {848--864},
      title = {{A Space-Time Multigrid Method for Parabolic Partial Differential Equations}},
      url = {http://dx.doi.org/10.1137/0916050},
      volume = {16},
      year = {1995}
    }
    
  5. K. R. Jackson and S. P. Nørsett, “The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form,” SIAM Journal on Numerical Analysis, vol. 32, no. 1, pp. 49–82, 1995 [Online]. Available at: http://dx.doi.org/10.1137/0732002
    @article{JacksonEtAl1995,
      author = {Jackson, K. R. and N{\o}rsett, S. P.},
      doi = {10.1137/0732002},
      journal = {SIAM Journal on Numerical Analysis},
      number = {1},
      pages = {49--82},
      title = {The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form},
      url = {http://dx.doi.org/10.1137/0732002},
      volume = {32},
      year = {1995}
    }
    
  6. S. Vandewalle and G. Horton, “Fourier mode analysis of the multigrid waveform relaxation and time-parallel multigrid methods,” Computing, vol. 54, no. 4, pp. 317–330, 1995 [Online]. Available at: http://dx.doi.org/10.1007/BF02238230
    @article{VandewalleHorton1995,
      author = {Vandewalle, Stefan and Horton, Graham},
      doi = {10.1007/BF02238230},
      journal = {Computing},
      number = {4},
      pages = {317--330},
      title = {{Fourier mode analysis of the multigrid waveform relaxation and time-parallel multigrid methods}},
      url = {http://dx.doi.org/10.1007/BF02238230},
      volume = {54},
      year = {1995}
    }
    
  7. K. Burrage, “Parallel methods for systems of ordinary differential equations,” in Applications on Advanced Architecture Computers, G. Astfalk, Ed. Society for Industrial and Applied Mathematics, 1996, pp. 101–120 [Online]. Available at: http://dx.doi.org/10.1137/1.9780898719659.ch10
    @incollection{Burrage1996,
      author = {Burrage, Kevin},
      booktitle = {{Applications on Advanced Architecture Computers}},
      doi = {{10.1137/1.9780898719659.ch10}},
      editor = {Astfalk, Greg},
      location = {Philadelphia},
      pages = {101--120},
      publisher = {Society for Industrial and Applied Mathematics},
      title = {{Parallel methods for systems of ordinary differential equations}},
      url = {{http://dx.doi.org/10.1137/1.9780898719659.ch10}},
      year = {1996}
    }
    
  8. J. Janssen and S. Vandewalle, “Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Discrete-Time Case,” SIAM Journal on Scientific Computing, vol. 17, no. 1, pp. 133–155, 1996 [Online]. Available at: http://dx.doi.org/10.1137/0917011
    @article{JanssenVandewalle1996,
      author = {Janssen, J. and Vandewalle, Stefan},
      doi = {{10.1137/0917011}},
      journal = {SIAM Journal on Scientific Computing},
      number = {1},
      pages = {133--155},
      title = {{Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Discrete-Time Case}},
      url = {{http://dx.doi.org/10.1137/0917011}},
      volume = {17},
      year = {1996}
    }
    
  9. T. Rauber and G. Rünger, “Parallel Implementations of Iterated Runge-Kutta Methods,” The International Journal of Supercomputer Applications and High Performance Computing, vol. 10, no. 1, pp. 62–90, Mar. 1996 [Online]. Available at: https://doi.org/10.1177/109434209601000103
    @article{RauberEtAl1996,
      author = {Rauber, Thomas and Rünger, Gudula},
      doi = {10.1177/109434209601000103},
      journal = {The International Journal of Supercomputer Applications and High Performance Computing},
      month = mar,
      number = {1},
      pages = {62--90},
      publisher = {{SAGE} Publications},
      title = {Parallel Implementations of Iterated Runge-Kutta Methods},
      url = {https://doi.org/10.1177/109434209601000103},
      volume = {10},
      year = {1996}
    }
    
  10. S. Ta’asan and H. Zhang, “Fourier-Laplace analysis of the multigrid waveform relaxation method for hyperbolic equations,” BIT Numerical Mathematics, vol. 36, no. 4, pp. 831–841, 1996 [Online]. Available at: http://dx.doi.org/10.1007/BF01733794
    @article{TaasanZhang1996,
      author = {Ta'asan, Shlomo and Zhang, Hong},
      doi = {10.1007/BF01733794},
      journal = {BIT Numerical Mathematics},
      number = {4},
      pages = {831--841},
      title = {{Fourier-Laplace analysis of the multigrid waveform relaxation method for hyperbolic equations}},
      url = {http://dx.doi.org/10.1007/BF01733794},
      volume = {36},
      year = {1996}
    }
    
  11. K. Burrage, “Parallel methods for ODEs,” Advances in Computational Mathematics, vol. 7, pp. 1–3, 1997 [Online]. Available at: http://dx.doi.org/10.1023/A:1018997130884
    @article{Burrage1997,
      author = {Burrage, Kevin},
      doi = {10.1023/A:1018997130884},
      journal = {Advances in Computational Mathematics},
      pages = {1--3},
      title = {{Parallel methods for {ODE}s}},
      url = {http://dx.doi.org/10.1023/A:1018997130884},
      volume = {7},
      year = {1997}
    }
    
  12. M. J. Gander and A. M. Stuart, “Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation,” SIAM Journal on Scientific Computing, vol. 19, no. 6, pp. 2014–2031, 1998 [Online]. Available at: http://dx.doi.org/10.1137/S1064827596305337
    @article{Gander1998,
      author = {Gander, Martin J. and Stuart, Andrew M.},
      doi = {10.1137/S1064827596305337},
      journal = {SIAM Journal on Scientific Computing},
      number = {6},
      pages = {2014--2031},
      title = {{Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation}},
      url = {http://dx.doi.org/10.1137/S1064827596305337},
      volume = {19},
      year = {1998}
    }
    
  13. F. Z. Wang, “Parallel-in-time relaxed Newton method for transient stability analysis,” IEE Proceedings - Generation, Transmission and Distribution, vol. 145, no. 2, pp. 155–159, 1998 [Online]. Available at: https://dx.doi.org/10.1049/ip-gtd:19981836
    @article{Wang1998,
      author = {Wang, F.~Z.},
      doi = {10.1049/ip-gtd:19981836},
      journal = {IEE Proceedings - Generation, Transmission and Distribution},
      number = {2},
      pages = {155--159},
      title = {Parallel-in-time relaxed Newton method for transient stability analysis},
      url = {https://dx.doi.org/10.1049/ip-gtd:19981836},
      volume = {145},
      year = {1998}
    }
    
top

1990 - 1994

  1. A. Bellen, R. Vermiglio, and M. Zennaro, “Parallel ODE-solvers with stepsize control,” Journal of Computational and Applied Mathematics, vol. 31, no. 2, pp. 277–293, Aug. 1990 [Online]. Available at: https://doi.org/10.1016/0377-0427(90)90170-5
    @article{BellenEtAl1990,
      author = {Bellen, A. and Vermiglio, R. and Zennaro, M.},
      doi = {10.1016/0377-0427(90)90170-5},
      journal = {Journal of Computational and Applied Mathematics},
      month = aug,
      number = {2},
      pages = {277--293},
      publisher = {Elsevier {BV}},
      title = {Parallel {ODE}-solvers with stepsize control},
      url = {https://doi.org/10.1016/0377-0427(90)90170-5},
      volume = {31},
      year = {1990}
    }
    
  2. “On the theory of parallel Runge-Kutta methods,” IMA Journal of Numerical Analysis, vol. 10, no. 4, pp. 463–488, 1990 [Online]. Available at: https://doi.org/10.1093/imanum/10.4.463
    @article{IserlesNorsett1990,
      author = {},
      doi = {10.1093/imanum/10.4.463},
      issn = {0272-4979},
      journal = {IMA Journal of Numerical Analysis},
      number = {4},
      pages = {463--488},
      title = {On the theory of parallel {R}unge-{K}utta methods},
      url = {https://doi.org/10.1093/imanum/10.4.463},
      volume = {10},
      year = {1990}
    }
    
  3. M. La Scala, A. Bose, D. J. Tylavsky, and J. S. Chai, “A highly parallel method for transient stability analysis,” IEEE Transactions on Power Systems, vol. 5, no. 4, pp. 1439–1446, 1990 [Online]. Available at: http://dx.doi.org/10.1109/59.99398
    @article{ScalaEtAl1990,
      author = {{La Scala}, M. and {Bose}, A. and {Tylavsky}, D. J. and {Chai}, J. S.},
      doi = {10.1109/59.99398},
      journal = {IEEE Transactions on Power Systems},
      number = {4},
      pages = {1439--1446},
      title = {A highly parallel method for transient stability analysis},
      url = {http://dx.doi.org/10.1109/59.99398},
      volume = {5},
      year = {1990}
    }
    
  4. P. J. Van Der Houwen and B. P. Sommeijer, “Parallel iteration of high-order Runge-Kutta methods with stepsize control,” Journal of Computational and Applied Mathematics, vol. 29, no. 1, pp. 111–127, 1990 [Online]. Available at: http://dx.doi.org/10.1016/0377-0427(90)90200-J
    @article{VanderHouwen1990,
      author = {Van Der Houwen, P.~J. and Sommeijer, B.~P.},
      doi = {10.1016/0377-0427(90)90200-J},
      journal = {Journal of Computational and Applied Mathematics},
      number = {1},
      pages = {111--127},
      title = {{Parallel iteration of high-order Runge-Kutta methods with stepsize control}},
      url = {http://dx.doi.org/10.1016/0377-0427(90)90200-J},
      volume = {29},
      year = {1990}
    }
    
  5. D. E. Womble, “A time-stepping algorithm for parallel computers,” SIAM Journal on Scientific and Statistical Computing, vol. 11, no. 5, pp. 824–837, 1990 [Online]. Available at: http://dx.doi.org/10.1137/0911049
    @article{Womble1990,
      author = {Womble, D.~E},
      doi = {10.1137/0911049},
      journal = {SIAM Journal on Scientific and Statistical Computing},
      number = {5},
      pages = {824--837},
      title = {{A time-stepping algorithm for parallel computers}},
      url = {http://dx.doi.org/10.1137/0911049},
      volume = {11},
      year = {1990}
    }
    
  6. C. W. Gear, “Waveform methods for space and time parallelism,” in Proceedings of the International Symposium on Computational Mathematics (Matsuyama, 1990), 1991, vol. 38, pp. 137–147.
    @inproceedings{Gear1991,
      author = {Gear, C.~W.},
      booktitle = {Proceedings of the {I}nternational {S}ymposium on {C}omputational {M}athematics ({M}atsuyama, 1990)},
      journal = {Journal of Computational and Applied Mathematics},
      pages = {137--147},
      title = {{Waveform methods for space and time parallelism}},
      volume = {38},
      year = {1991}
    }
    
  7. G. Horton, “Time-Parallel Multigrid Solution of the Navier-Stokes Equations,” in Applications of Supercomputers in Engineering II, C. A. Brebbia, A. Peters, and D. Howard, Eds. Springer Netherlands, 1991, pp. 435–445 [Online]. Available at: http://dx.doi.org/10.1007/978-94-011-3660-0_31
    @incollection{Horton1991,
      author = {Horton, Graham},
      booktitle = {{Applications of Supercomputers in Engineering II}},
      doi = {10.1007/978-94-011-3660-0\_31},
      editor = {Brebbia, C.A. and Peters, A. and Howard, D.},
      pages = {435--445},
      publisher = {Springer Netherlands},
      title = {{Time-Parallel Multigrid Solution of the {N}avier-{S}tokes Equations}},
      url = {http://dx.doi.org/10.1007/978-94-011-3660-0_31},
      year = {1991}
    }
    
  8. K. R. Jackson, “A SURVEY OF PARALLEL NUMERICAL METHODS FOR INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS,” IEEE Transactions on Magnetics, vol. 27, no. 5, pp. 3792–3797, 1991 [Online]. Available at: http://dx.doi.org/10.1109/20.104928
    @article{Jackson1991,
      author = {Jackson, Kenneth R.},
      doi = {10.1109/20.104928},
      issue = {5},
      journal = {IEEE Transactions on Magnetics},
      pages = {3792--3797},
      title = {A SURVEY OF PARALLEL NUMERICAL METHODS FOR INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS},
      url = {http://dx.doi.org/10.1109/20.104928},
      volume = {27},
      year = {1991}
    }
    
  9. S. Murata, N. Satofuka, and T. Kushiyama, “Parabolic multi-grid method for incompressible viscous flows using a group explicit relaxation scheme,” Computers & Fluids, vol. 19, no. 1, pp. 33–41, 1991 [Online]. Available at: http://dx.doi.org/10.1016/0045-7930(91)90005-3
    @article{MurataEtAl1991,
      author = {Murata, S. and Satofuka, N. and Kushiyama, T.},
      doi = {10.1016/0045-7930(91)90005-3},
      journal = {Computers \& Fluids},
      number = {1},
      pages = {33--41},
      title = {{Parabolic multi-grid method for incompressible viscous flows using a group explicit relaxation scheme}},
      url = {http://dx.doi.org/10.1016/0045-7930(91)90005-3},
      volume = {19},
      year = {1991}
    }
    
  10. P. J. van der Houwen and B. P. Sommeijer, “Iterated Runge–Kutta Methods on Parallel Computers,” SIAM Journal on Scientific and Statistical Computing, vol. 12, no. 5, pp. 1000–1028, 1991 [Online]. Available at: http://dx.doi.org/10.1137/0912054
    @article{VanderHouwen1991,
      author = {van der Houwen, P.~J. and Sommeijer, B.~P.},
      doi = {10.1137/0912054},
      journal = {SIAM Journal on Scientific and Statistical Computing},
      number = {5},
      pages = {1000--1028},
      title = {Iterated Runge--Kutta Methods on Parallel Computers},
      url = {http://dx.doi.org/10.1137/0912054},
      volume = {12},
      year = {1991}
    }
    
  11. G. Horton, “The time-parallel multigrid method,” Communications in Applied Numerical Methods, vol. 8, no. 9, pp. 585–595, 1992 [Online]. Available at: http://dx.doi.org/10.1002/cnm.1630080906
    @article{Horton1992,
      author = {Horton, Graham},
      doi = {10.1002/cnm.1630080906},
      journal = {Communications in Applied Numerical Methods},
      number = {9},
      pages = {585--595},
      title = {The time-parallel multigrid method},
      url = {http://dx.doi.org/10.1002/cnm.1630080906},
      volume = {8},
      year = {1992}
    }
    
  12. G. Horton, R. Knirsch, and H. Vollath, “The time-parallel solution of parabolic partial differential equations using the frequency-filtering method,” in Parallel Processing: CONPAR 92 –VAPP V, vol. 634, L. Bougé, M. Cosnard, Y. Robert, and D. Trystram, Eds. Springer Berlin Heidelberg, 1992, pp. 205–216 [Online]. Available at: http://dx.doi.org/10.1007/3-540-55895-0_415
    @incollection{HortonEtAl1992,
      author = {Horton, Graham and Knirsch, Ralf and Vollath, Hermann},
      booktitle = {{Parallel Processing: CONPAR 92 --VAPP V}},
      doi = {10.1007/3-540-55895-0_415},
      editor = {Bougé, Luc and Cosnard, Michel and Robert, Yves and Trystram, Denis},
      pages = {205--216},
      publisher = {Springer Berlin Heidelberg},
      series = {Lecture Notes in Computer Science},
      title = {The time-parallel solution of parabolic partial differential equations using the frequency-filtering method},
      url = {http://dx.doi.org/10.1007/3-540-55895-0_415},
      volume = {634},
      year = {1992}
    }
    
  13. G. Horton and R. Knirsch, “A time-parallel multigrid-extrapolation method for parabolic partial differential equations,” Parallel Computing, vol. 18, no. 1, pp. 21–29, 1992 [Online]. Available at: http://dx.doi.org/10.1016/0167-8191(92)90108-J
    @article{HortonKnirsch1992,
      author = {Horton, Graham and Knirsch, Ralf},
      doi = {10.1016/0167-8191(92)90108-J},
      journal = {Parallel Computing},
      number = {1},
      pages = {21--29},
      title = {A time-parallel multigrid-extrapolation method for parabolic partial differential equations},
      url = {http://dx.doi.org/10.1016/0167-8191(92)90108-J},
      volume = {18},
      year = {1992}
    }
    
  14. S. Vandewalle and R. Piessens, “Efficient Parallel Algorithms for Solving Initial-Boundary Value and Time-Periodic Parabolic Partial Differential Equations,” SIAM Journal on Scientific and Statistical Computing, vol. 13, no. 6, pp. 1330–1346, 1992 [Online]. Available at: http://dx.doi.org/10.1137/0913075
    @article{VandewallePiessens1992,
      author = {Vandewalle, Stefan and Piessens, R.},
      doi = {10.1137/0913075},
      journal = {SIAM Journal on Scientific and Statistical Computing},
      number = {6},
      pages = {1330--1346},
      title = {{Efficient Parallel Algorithms for Solving Initial-Boundary Value and Time-Periodic Parabolic Partial Differential Equations}},
      url = {http://dx.doi.org/10.1137/0913075},
      volume = {13},
      year = {1992}
    }
    
  15. K. Burrage, “Parallel methods for initial value problems,” Applied Numerical Mathematics, vol. 11, no. 1–3, pp. 5–25, 1993 [Online]. Available at: http://dx.doi.org/10.1016/0168-9274(93)90037-R
    @article{Burrage1993,
      author = {Burrage, Kevin},
      doi = {10.1016/0168-9274(93)90037-R},
      journal = {Applied Numerical Mathematics},
      number = {1--3},
      pages = {5--25},
      title = {{Parallel methods for initial value problems}},
      url = {http://dx.doi.org/10.1016/0168-9274(93)90037-R},
      volume = {11},
      year = {1993}
    }
    
  16. P. Chartier and B. Philippe, “A parallel shooting technique for solving dissipative ODE’s,” Computing, vol. 51, no. 3-4, pp. 209–236, 1993 [Online]. Available at: http://dx.doi.org/10.1007/BF02238534
    @article{ChartierPhilippe1993,
      author = {Chartier, P. and Philippe, B.},
      doi = {10.1007/BF02238534},
      journal = {Computing},
      number = {3-4},
      pages = {209--236},
      title = {{A parallel shooting technique for solving dissipative {ODE}'s}},
      url = {http://dx.doi.org/10.1007/BF02238534},
      volume = {51},
      year = {1993}
    }
    
  17. A. Fijany, “Time Parallel Algorithms for Solution of Linear Parabolic PDEs,” in Parallel Processing, 1993. ICPP 1993. International Conference on, 1993, vol. 3, pp. 51–56 [Online]. Available at: http://dx.doi.org/10.1109/ICPP.1993.179
    @inproceedings{Fijany1993,
      author = {Fijany, Amir},
      booktitle = {{Parallel Processing, 1993. ICPP 1993. International Conference on}},
      doi = {10.1109/ICPP.1993.179},
      pages = {51--56},
      title = {{Time Parallel Algorithms for Solution of Linear Parabolic {PDE}s}},
      url = {http://dx.doi.org/10.1109/ICPP.1993.179},
      volume = {3},
      year = {1993}
    }
    
  18. C. W. Gear and X. Xuhai, “Parallelism across time in ODEs,” Applied Numerical Mathematics. An IMACS Journal, vol. 11, no. 1-3, pp. 45–68, 1993.
    @article{GearXuhai1993,
      author = {Gear, C.~W. and Xuhai, Xu},
      journal = {Applied Numerical Mathematics. An IMACS Journal},
      note = {Parallel methods for ordinary differential equations (Grado, 1991)},
      number = {1-3},
      pages = {45--68},
      title = {Parallelism across time in {ODE}s},
      volume = {11},
      year = {1993}
    }
    
  19. C. Oosterlee and P. Wesseling, “Multigrid schemes for time-dependent incompressible Navier-Stokes equations,” IMPACT of Computing in Science and Engineering, vol. 5, no. 3, pp. 153–175, 1993 [Online]. Available at: http://dx.doi.org/10.1006/icse.1993.1007
    @article{OosterleeWesseling1993,
      author = {Oosterlee, C. and Wesseling, P.},
      doi = {10.1006/icse.1993.1007},
      journal = {IMPACT of Computing in Science and Engineering},
      number = {3},
      pages = {153--175},
      title = {{Multigrid schemes for time-dependent incompressible {N}avier-{S}tokes equations}},
      url = {http://dx.doi.org/10.1006/icse.1993.1007},
      volume = {5},
      year = {1993}
    }
    
  20. M. La Scala and A. Bose, “Relaxation/Newton methods for concurrent time step solution of differential-algebraic equations in power system dynamic simulations,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 40, no. 5, pp. 317–330, 1993 [Online]. Available at: http://dx.doi.org/10.1109/81.232576
    @article{ScalaBose1993,
      author = {{La Scala}, M. and {Bose}, A.},
      doi = {10.1109/81.232576},
      journal = {IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications},
      number = {5},
      pages = {317--330},
      title = {{Relaxation/Newton methods for concurrent time step solution of differential-algebraic equations in power system dynamic simulations}},
      url = {http://dx.doi.org/10.1109/81.232576},
      volume = {40},
      year = {1993}
    }
    
  21. B. P. Sommeijer, “Parallel-iterated Runge-Kutta methods for stiff ordinary differential equations,” Journal of Computational and Applied Mathematics, vol. 45, no. 1, pp. 151–168, 1993 [Online]. Available at: http://dx.doi.org/10.1016/0377-0427(93)90271-C
    @article{Sommeijer1993,
      author = {Sommeijer, B.P.},
      doi = {10.1016/0377-0427(93)90271-C},
      journal = {{Journal of Computational and Applied Mathematics}},
      number = {1},
      pages = {151--168},
      title = {{Parallel-iterated Runge-Kutta methods for stiff ordinary differential equations}},
      url = {http://dx.doi.org/10.1016/0377-0427(93)90271-C},
      volume = {45},
      year = {1993}
    }
    
  22. P. J. van der Houwen and B. P. Sommeijer, “Analysis of parallel diagonally implicit iteration of Runge-Kutta methods,” Applied Numerical Mathematics, vol. 11, no. 1, pp. 169–188, 1993 [Online]. Available at: http://dx.doi.org/10.1016/0168-9274(93)90047-U
    @article{VanderHouwen1993,
      author = {van der Houwen, P.J. and Sommeijer, B.P.},
      doi = {10.1016/0168-9274(93)90047-U},
      journal = {Applied Numerical Mathematics},
      number = {1},
      pages = {169--188},
      title = {{Analysis of parallel diagonally implicit iteration of Runge-Kutta methods}},
      url = {http://dx.doi.org/10.1016/0168-9274(93)90047-U},
      volume = {11},
      year = {1993}
    }
    
  23. H. G. Bock, W. Hackbusch, and W. Rannacher, Eds., Parallel multigrid waveform relaxation for parabolic problems. Stuttgart: B. G. Teubner, 1993 [Online]. Available at: http://dx.doi.org/10.1007/978-3-322-94761-1
    @book{Vandewalle1993,
      address = {Stuttgart},
      address2 = {Stuttgart},
      doi = {10.1007/978-3-322-94761-1},
      editor = {Bock, H. G. and Hackbusch, W. and Rannacher, W.},
      publisher = {B.~G.~Teubner},
      series = {{Teubner Skripten zur Numerik}},
      title = {{Parallel multigrid waveform relaxation for parabolic problems}},
      url = {{http://dx.doi.org/10.1007/978-3-322-94761-1}},
      year = {1993}
    }
    
  24. J. Janssen and S. Vandewalle, “Multigrid waveform relaxation on spatial finite element meshes,” in Contributions to multigrid (Amsterdam, 1993), vol. 103, Amsterdam: Math. Centrum Centrum Wisk. Inform., 1994, pp. 75–86.
    @incollection{JanssenVandewalle1994,
      address = {Amsterdam},
      author = {Janssen, J. and Vandewalle, S.},
      booktitle = {Contributions to multigrid ({A}msterdam, 1993)},
      pages = {75--86},
      publisher = {Math. Centrum Centrum Wisk. Inform.},
      series = {CWI Tract},
      title = {{Multigrid waveform relaxation on spatial finite element meshes}},
      volume = {103},
      year = {1994}
    }
    
  25. M. Kiehl, “Parallel multiple shooting for the solution of initial value problems,” Parallel Computing, vol. 20, no. 3, pp. 275–295, 1994 [Online]. Available at: http://dx.doi.org/10.1016/S0167-8191(06)80013-X
    @article{Kiehl1994,
      author = {Kiehl, M.},
      doi = {10.1016/S0167-8191(06)80013-X},
      journal = {Parallel Computing},
      number = {3},
      pages = {275--295},
      title = {{Parallel multiple shooting for the solution of initial value problems}},
      url = {http://dx.doi.org/10.1016/S0167-8191(06)80013-X},
      volume = {20},
      year = {1994}
    }
    
  26. N. Toomarian, A. Fijany, and J. Barmen, “Time-parallel solution of linear partial differential equations on the Intel Touchstone Delta supercomputer,” Concurrency: Practice and Experience, vol. 6, no. 8, pp. 641–652, 1994 [Online]. Available at: http://dx.doi.org/10.1002/cpe.4330060803
    @article{Toomarian1994,
      author = {Toomarian, Nikzad and Fijany, Amir and Barmen, Jacob},
      doi = {10.1002/cpe.4330060803},
      journal = {Concurrency: Practice and Experience},
      number = {8},
      pages = {641--652},
      title = {{Time-parallel solution of linear partial differential equations on the {I}ntel {T}ouchstone {D}elta supercomputer}},
      url = {http://dx.doi.org/10.1002/cpe.4330060803},
      volume = {6},
      year = {1994}
    }
    
  27. S. Vandewalle and G. Horton, “Multicomputer-Multigrid Solution of Parabolic Partial Differential Equations,” in Multigrid Methods IV, vol. 116, P. W. Hemker and P. Wesseling, Eds. Birkhäuser Basel, 1994, pp. 97–109 [Online]. Available at: http://dx.doi.org/10.1007/978-3-0348-8524-9_7
    @incollection{VandewalleHorton1994,
      author = {Vandewalle, Stefan and Horton, Graham},
      booktitle = {{Multigrid Methods IV}},
      doi = {10.1007/978-3-0348-8524-9_7},
      editor = {Hemker, P.W. and Wesseling, P.},
      pages = {97--109},
      publisher = {Birkhäuser Basel},
      series = {{ISNM International Series of Numerical Mathematics}},
      title = {{Multicomputer-Multigrid Solution of Parabolic Partial Differential Equations}},
      url = {http://dx.doi.org/10.1007/978-3-0348-8524-9_7},
      volume = {116},
      year = {1994}
    }
    
  28. S. G. Vandewalle and E. F. Van de Velde, “Space-time concurrent multigrid waveform relaxation,” Annals of Numerical Mathematics, vol. 1, no. 1-4, pp. 347–360, 1994 [Online]. Available at: http://dx.doi.org/10.13140/2.1.1146.1761
    @article{VandewalleVandeVelde1994,
      author = {Vandewalle, {Stefan G.} and {Van de Velde}, {Eric F.}},
      doi = {10.13140/2.1.1146.1761},
      journal = {Annals of Numerical Mathematics},
      number = {1-4},
      pages = {347--360},
      title = {{Space-time concurrent multigrid waveform relaxation}},
      url = {http://dx.doi.org/10.13140/2.1.1146.1761},
      volume = {1},
      year = {1994}
    }
    
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Pre 1990

  1. J. Nievergelt, “Parallel methods for integrating ordinary differential equations,” Commun. ACM, vol. 7, no. 12, pp. 731–733, 1964 [Online]. Available at: http://dx.doi.org/10.1145/355588.365137
    @article{Nievergelt1964,
      author = {Nievergelt, J.},
      doi = {10.1145/355588.365137},
      journal = {Commun. ACM},
      number = {12},
      pages = {731--733},
      title = {{Parallel methods for integrating ordinary differential equations}},
      url = {http://dx.doi.org/10.1145/355588.365137},
      volume = {7},
      year = {1964}
    }
    
  2. W. L. Miranker and W. Liniger, “Parallel methods for the numerical integration of ordinary differential equations,” Mathematics of Computation, vol. 21, no. 99, pp. 303–320, 1967 [Online]. Available at: http://dx.doi.org/10.1090/S0025-5718-1967-0223106-8
    @article{MirankerLiniger1967,
      author = {Miranker, Willard L and Liniger, Werner},
      doi = {10.1090/S0025-5718-1967-0223106-8},
      journal = {Mathematics of Computation},
      number = {99},
      pages = {303--320},
      title = {{Parallel methods for the numerical integration of ordinary differential equations}},
      url = {http://dx.doi.org/10.1090/S0025-5718-1967-0223106-8},
      volume = {21},
      year = {1967}
    }
    
  3. P. B. Worland, “Parallel Methods for the Numerical Solution of Ordinary Differential Equations,” Computers, IEEE Transactions on, vol. C-25, no. 10, pp. 1045–1048, 1976 [Online]. Available at: http://dx.doi.org/10.1109/TC.1976.1674545
    @article{Worland1976,
      author = {Worland, P.~B.},
      doi = {10.1109/TC.1976.1674545},
      journal = {Computers, IEEE Transactions on},
      number = {10},
      pages = {1045--1048},
      title = {{Parallel Methods for the Numerical Solution of Ordinary Differential Equations}},
      url = {http://dx.doi.org/10.1109/TC.1976.1674545},
      volume = {C-25},
      year = {1976}
    }
    
  4. M. A. Franklin, “Parallel Solution of Ordinary Differential Equations,” IEEE Transactions on Computers, vol. C-27, no. 5, pp. 413–420, 1978 [Online]. Available at: http://dx.doi.org/10.1109/TC.1978.1675121
    @article{Franklin1978,
      author = {Franklin, M. A.},
      doi = {10.1109/TC.1978.1675121},
      journal = {IEEE Transactions on Computers},
      number = {5},
      pages = {413--420},
      title = {Parallel Solution of Ordinary Differential Equations},
      url = {http://dx.doi.org/10.1109/TC.1978.1675121},
      volume = {C-27},
      year = {1978}
    }
    
  5. W. Hackbusch, “Parabolic multi-grid methods,” Computing Methods in Applied Sciences and Engineering, VI, pp. 189–197, 1984 [Online]. Available at: http://dl.acm.org/citation.cfm?id=4673.4714
    @article{Hackbusch1984,
      author = {Hackbusch, W.},
      journal = {Computing Methods in Applied Sciences and Engineering, VI},
      pages = {189--197},
      title = {{Parabolic multi-grid methods}},
      url = {http://dl.acm.org/citation.cfm?id=4673.4714},
      year = {1984}
    }
    
  6. M. Chu and H. Hamilton, “Parallel Solution of ODE’s by Multiblock Methods,” SIAM Journal on Scientific and Statistical Computing, vol. 8, no. 3, pp. 342–353, 1987 [Online]. Available at: http://dx.doi.org/10.1137/0908039
    @article{ChuHamilton1987,
      author = {Chu, M. and Hamilton, H.},
      doi = {10.1137/0908039},
      journal = {SIAM Journal on Scientific and Statistical Computing},
      number = {3},
      pages = {342--353},
      title = {{Parallel Solution of {ODE}'s by Multiblock Methods}},
      url = {http://dx.doi.org/10.1137/0908039},
      volume = {8},
      year = {1987}
    }
    
  7. C. Lubich and A. Ostermann, “Multi-grid dynamic iteration for parabolic equations,” BIT Numerical Mathematics, vol. 27, no. 2, pp. 216–234, 1987 [Online]. Available at: http://dx.doi.org/10.1007/BF01934186
    @article{LubichOstermann1987,
      author = {Lubich, Ch. and Ostermann, A.},
      doi = {10.1007/BF01934186},
      journal = {BIT Numerical Mathematics},
      number = {2},
      pages = {216--234},
      title = {{Multi-grid dynamic iteration for parabolic equations}},
      url = {http://dx.doi.org/10.1007/BF01934186},
      volume = {27},
      year = {1987}
    }
    
  8. C. W. Gear, “Parallel methods for ordinary differential equations,” CALCOLO, vol. 25, no. 1-2, pp. 1–20, 1988 [Online]. Available at: http://dx.doi.org/10.1007/BF02575744
    @article{Gear1988,
      author = {Gear, C.~W.},
      doi = {10.1007/BF02575744},
      journal = {CALCOLO},
      number = {1-2},
      pages = {1--20},
      title = {{Parallel methods for ordinary differential equations}},
      url = {http://dx.doi.org/10.1007/BF02575744},
      volume = {25},
      year = {1988}
    }
    
  9. A. Bellen and M. Zennaro, “Parallel algorithms for initial-value problems for difference and differential equations,” Journal of Computational and Applied Mathematics, vol. 25, no. 3, pp. 341–350, 1989 [Online]. Available at: http://dx.doi.org/10.1016/0377-0427(89)90037-X
    @article{BellenZennaro1989,
      author = {Bellen, Alfredo and Zennaro, Marino},
      doi = {10.1016/0377-0427(89)90037-X},
      journal = {Journal of Computational and Applied Mathematics},
      number = {3},
      pages = {341--350},
      title = {{Parallel algorithms for initial-value problems for difference and differential equations}},
      url = {http://dx.doi.org/10.1016/0377-0427(89)90037-X},
      volume = {25},
      year = {1989}
    }
    
  10. E. Gallopoulos and Y. Saad, “On the Parallel Solution of Parabolic Equations,” in Proceedings of the 3rd International Conference on Supercomputing, New York, NY, USA, 1989, pp. 17–28 [Online]. Available at: http://doi.acm.org/10.1145/318789.318793
    @inproceedings{GallopoulosEtAl1989,
      acmid = {318793},
      address = {New York, NY, USA},
      author = {Gallopoulos, E. and Saad, Y.},
      booktitle = {Proceedings of the 3rd International Conference on Supercomputing},
      doi = {10.1145/318789.318793},
      numpages = {12},
      pages = {17--28},
      publisher = {ACM},
      series = {ICS '89},
      title = {On the Parallel Solution of Parabolic Equations},
      url = {http://doi.acm.org/10.1145/318789.318793},
      year = {1989}
    }
    
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