Title

Multisymplecticity And Wave Action Conservation

Keywords

Box schemes; Multisymplectic integrators; Spectral methods; Wave action

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. © 2009 IMACS.

Publication Date

9-1-2009

Publication Title

Mathematics and Computers in Simulation

Volume

80

Issue

1

Number of Pages

83-90

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.matcom.2009.06.016

Socpus ID

70349165069 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/70349165069

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