Multi-symplectic spectral methods for the sine-Gordon equation

    Authors

    A. L. Islas;C. M. Schober

    Comments

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    Keywords

    INTEGRATORS; Computer Science, Interdisciplinary Applications; Computer Science, ; Software Engineering; Computer Science, Theory & Methods

    Abstract

    Recently it has been shown that spectral discretizations provide another class of multi-symplectic integrators for Hamiltonian wave equations with periodic boundary conditions. In this note we develop multi-symplectic spectral discretizations for the sine-Gordon equation. We discuss the preservation of its phase space geometry, as measured by the associated nonlinear spectrum, by the multi-symplectic spectral methods.

    Journal Title

    Computational Science - Iccs 2003, Pt Ii, Proceedings

    Volume

    2658

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    101

    Last Page

    110

    WOS Identifier

    WOS:000184831800012

    ISSN

    0302-9743; 3-540-40195-4

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