Time-Parallel Algorithm for Two Phase Flows Simulation

Author:

Ait-Ameur Katia,Maday Yvon,Tajchman Marc

Publisher

Springer International Publishing

Reference18 articles.

1. Ait-Ameur, K., Maday, Y., Tajchman, M.: Multi-step variant of the parareal algorithm. In: Haynes, R.D., MacLachlan, S., Cai, X.C., Halpern, L., Kim, H.H., Klawonn, A., Widlund, O. (eds.) Domain Decomposition Methods in Science and Engineering XXV, Lecture Notes in Computational Science and Engineering, pp. 393–400 (2020)

2. Audouze, C., Massot, M., Volz, S.: Symplectic multi-time step parareal algorithms applied to molecular dynamics. http://hal.archives-ouvertes.fr/hal-00358459/fr/ (2009)

3. Baffico, L., Bernard, S., Maday, Y., Turinici, G., Zrah, G.: Parallel-in-time molecular dynamics simulations. Phys. Rev. E 66, 057701 (2002)

4. Bal, G.: Parallelization in time of (stochastic) ordinary differential equations. http://www.columbia.edu/gb2030/PAPERS/paralleltime.pdf (2003)

5. Bal, G., Maday, Y.: 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, pp. 189–202 (2002)

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1. Multi-step variant of the parareal algorithm: convergence analysis and numerics;ESAIM: Mathematical Modelling and Numerical Analysis;2024-03

2. GParareal: a time-parallel ODE solver using Gaussian process emulation;Statistics and Computing;2022-12-21

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