Stabilization of parareal algorithms for long-time computation of a class of highly oscillatory Hamiltonian flows using data

Author:

Fang Rui,Tsai Richard

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Reference21 articles.

1. Hairer, E., Lubich, C., Wanner, G.: Geometric numerical integration, 2nd edn. Springer Series in Computational Mathematics, vol. 31, p. 644. Springer, Berlin (2006)

2. Engquist, B., Tsai, Y.-H.: Heterogeneous multiscale methods for stiff ordinary differential equations. Math. Comput. 74(252), 1707–1742 (2005)

3. Lions, J., Maday, Y., Turinici, G.: A “parareal’’ in time discretization of PDE’s. comptes rendus de l’acadmie des sciences-series i-mathematics 332, 661–668 (2001)

4. Gander, M.J., Vandewalle, S.: Analysis of the parareal time-parallel time-integration method. SIAM J. Sci. Comput. 29(2), 556–578 (2007)

5. Ariel, G., Kim, S.J., Tsai, R.: Parareal multiscale methods for highly oscillatory dynamical systems. SIAM J. Sci. Comput. 38(6), 3540–3564 (2016)

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