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.
- 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} }
- 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} }