Multisymplecticity and wave action conservation

Constance Schober and Tomasz H. Wlodarczyk

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 1, 83-90

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.

Keywords: Multisymplectic integrators; Wave action; Box schemes; Spectral methods (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:1:p:83-90

DOI: 10.1016/j.matcom.2009.06.016

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