Title

Conservation properties of multisymplectic integrators

Authors

Authors

A. L. Islas;C. M. Schober

Comments

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Abbreviated Journal Title

Futur. Gener. Comp. Syst.

Keywords

multisymplectic integrators; Hamiltonian PDEs; conservation laws; long-time dynamics; HAMILTONIAN PDES; DISCRETIZATIONS; EQUATIONS; BEHAVIOR; Computer Science, Theory & Methods

Abstract

Recent results on the local and global properties of multisymplectic discretizations of Hamiltonian PDEs are discussed. We consider multisymplectic (MS) schemes based on Fourier spectral approximations and show that, in addition to a MS conservation law, conservation laws related to linear symmetries of the PDE are preserved exactly. We compare spectral integrators (MS versus non-symplectic) for the nonlinear Schrodinger (NLS) equation, focusing on their ability to preserve local conservation laws and global invariants, over long times. Using Lax-type nonlinear spectral diagnostics we find that the MS spectral method provides an improved resolution of complicated phase space structures. (c) 2004 Elsevier B.V. All rights reserved.

Journal Title

Future Generation Computer Systems-the International Journal of Grid Computing Theory Methods and Applications

Volume

22

Issue/Number

4

Publication Date

1-1-2006

Document Type

Article; Proceedings Paper

Language

English

First Page

412

Last Page

422

WOS Identifier

WOS:000234904100006

ISSN

0167-739X

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