Analysis for parareal algorithms applied to Hamiltonian differential equations

DOI10.1016/j.cam.2013.01.011zbMath1291.65209OpenAlexW2129600241MaRDI QIDQ2252802

Martin J. Gander, Ernst Hairer

Publication date: 23 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.01.011

zbMATH Keywords

symplectic methodsbackward error analysisparallel architecturesparareal algorithmlong-time integrationHamiltonian differential equations

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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Cites Work

• Unnamed Item
• A hybrid parareal spectral deferred corrections method
• Parallel algorithms for initial-value problems for difference and differential equations
• A parallel shooting technique for solving dissipative ODE's
• Résolution d'EDP par un schéma en temps «pararéel »
• Solving Ordinary Differential Equations I
• Nonlinear Convergence Analysis for the Parareal Algorithm
• Geometric Numerical Integration
• CWI contributions to the development of parallel Runge-Kutta methods

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