Multisymplecticity and wave action conservation

Authors:
Constance Schober;Tomasz H. Wlodarczyk
Affiliations:
Department of Mathematics, University of Central Florida, Orlando, FL 32816, United States;Department of Mathematics, University of Central Florida, Orlando, FL 32816, United States
Venue:
Mathematics and Computers in Simulation
Year:
2009

Citing 2
Cited 1

Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems

Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
On the preservation of phase space structure under multisymplectic discretization

Journal of Computational Physics

The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs

Journal of Computational and Applied Mathematics

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Abstract

This paper discuses some novel results concerning the wave action conservation law for multisymplectic partial differential equations and their discretizations. We provide a method for deriving this conservation law in Fourier spectral space. A discrete wave action conservation law for a multisymplectic box scheme and for the midpoint time-discretization of a spectral method is also derived.