PITA

Introduced in 2003 by Farhat and Chandesris [1]. Augmented with a convergence accelerator later (missing reference) [2]. PITA is closely related to Parareal but uses a slightly different correction.

1. FarhatEtAl2003

   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, doi: 10.1002/nme.860. [Online]. Available at: http://dx.doi.org/10.1002/nme.860

   BibTeX

   Abstract

   BibTeX entry FarhatEtAl2003

   ×

   @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}
   }
   

2. CortialFarhat2009

   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, doi: 10.1002/nme.2418. [Online]. Available at: http://dx.doi.org/10.1002/nme.2418

   BibTeX

   Abstract

   BibTeX entry CortialFarhat2009

   ×

   @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}
   }