Title

Multisymplecticity and wave action conservation

Authors

Authors

C. Schober;T. H. Wlodarczyk

Comments

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Abbreviated Journal Title

Math. Comput. Simul.

Keywords

Multisymplectic integrators; Wave action; Box schemes; Spectral methods; DISCRETIZATIONS; Computer Science, Interdisciplinary Applications; Computer Science, ; Software Engineering; Mathematics, Applied

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 a deriving this conservation law in Fourier spectral space. A discrete wave action conservation law for a for multisymplectic box scheme and for the midpoint time-discretization of a spectral method is also derived (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.

Journal Title

Mathematics and Computers in Simulation

Volume

80

Issue/Number

1

Publication Date

1-1-2009

Document Type

Article

Language

English

First Page

83

Last Page

90

WOS Identifier

WOS:000271103800011

ISSN

0378-4754

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