Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations-Reference-Cited by-同舟云学术

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Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations

Published:2017-03-09 Issue:1 Volume:38 Page:57-74
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Buchholz Simone,Gauckler Ludwig,Grimm Volker,Hochbruck Marlis,Jahnke Tobias

Funder

Deutsche Forschungsgemeinschaft

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

http://academic.oup.com/imajna/article-pdf/38/1/57/23651523/drx007.pdf

Reference28 articles.

1. Explicit symplectic RKN methods for perturbed non-autonomous oscillators: splitting, extended and exponentially fitting methods;Comput. Phys. Commun.,,2015

2. Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions;BIT,,2015

3. Convergence analysis of Strang splitting for Vlasov-type equations;SIAM J. Numer. Anal.,,2014

4. Overcoming order reduction in diffusion-reaction splitting. Part 1: Dirichlet boundary conditions;SIAM J. Sci. Comput.,,2015

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1. Numerical Conservations of Energy, Momentum and Actions in the Full Discretisation for Nonlinear Wave Equations;Journal of Scientific Computing;2023-11-22

2. Discrete conservation laws for finite element discretisations of multisymplectic PDEs;Journal of Computational Physics;2021-11

3. Additive splitting methods for parallel solutions of evolution problems;Journal of Computational Physics;2021-07

4. A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems;BIT Numerical Mathematics;2021-06-25

5. On averaged exponential integrators for semilinear wave equations with solutions of low-regularity;Partial Differential Equations and Applications;2021-03-09

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