Symplectic Parareal

Lecture Notes in Computational Science and Engineering

Volumn 60, Issue , 2008, Pages 401-408

  Bal, Guillaume ^a   Wu, Qi ^a  

^a Department of Earth and Environmental Sciences   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 60949090375     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-75199-1_51     Document Type: Conference Paper

References (10)

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, volume 40 of Lect. Notes Comput. Sci. Eng., pages 425-432. Springer, Berlin, 2005.
2. G. Bal. Parallelization in time of (stochastic) ordinary differential equations, 2006. Submitted; www.columbia.edu/~gb2030/PAPERS/Paralleltime. pdf.
3. 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 (Zürich, 2001), volume 23 of Lect. Notes in Comput. Sci. Eng., pages 189-202. Springer, Berlin, 2002.
4. C. Farhat and M. Chandesris. Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications. Internat. J. Numer. Methods Engrg., 58(9):1397-1434, 2003.
5. C. Farhat, J. Cortial, C. Dastillung, and H. Bavestrello. Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses. Internat. J. Numer. Methods Engrg., 67(5):697-724, 2006.
6. 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, volume 40 of Lect. Notes Comput. Sci. Engrg., pages 433-440. Springer, Berlin, 2005.
7. M. J. Gander and S. Vandewalle. On the superlinear and linear convergence of the parareal algorithm. In Domain Decomposition Methods in Science and Engineering XVI, volume 55 of Lect Notes Comput. Sci. Engrg., pages 291-298. Springer, Berlin, 2007.
8. E. Hairer, L. Christian, and G. Wanner. Geometric Numerical Integration. Springer-Verlag, Berlin, 2002.
9. J.-L. Lions, Y. Maday, and G. Turinici. Résolution d'EDP par un schéma en temps pararéel. C.R. Acad. Sci. Paris Sér. I Math., 332(7):661-668, 2000.
10. Y. Maday and G. Turinici. A parareal in time procedure for the control of partial differential equations. C.R. Acad. Sci. Paris Sér. I Math., 335:387-391, 2002.