Multisymplecticity and wave action conservation

    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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