Multisymplecticity and wave action conservation

DOI10.1016/j.matcom.2009.06.016zbMath1177.65183OpenAlexW2094755350MaRDI QIDQ1038125

Tomasz H. Wlodarczyk, Constance M. Schober

Publication date: 17 November 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.06.016

zbMATH Keywords

conservation lawHamiltonian systemspectral methodsmultisymplectic integratorsbox schemesmidpoint time-discretizationwave action

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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Cites Work

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• On the preservation of phase space structure under multisymplectic discretization
• Backward error analysis for multi-symplectic integration methods
• Solving Ordinary Differential Equations I
• A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities
• Conservation of wave action under multisymplectic discretizations
• Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations