Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

Year:    2007

Communications in Computational Physics, Vol. 2 (2007), Iss. 4 : pp. 662–683

Abstract

In this paper, based on the multi-symplecticity of concatenating symplectic Runge-Kutta-Nyström (SRKN) methods and symplectic Runge-Kutta-type methods for numerically solving Hamiltonian PDEs, explicit multi-symplectic schemes are constructed and investigated, where the nonlinear wave equation is taken as a model problem. Numerical comparisons are made to illustrate the effectiveness of our newly derived explicit multi-symplectic integrators.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-CiCP-7922

Communications in Computational Physics, Vol. 2 (2007), Iss. 4 : pp. 662–683

Published online:    2007-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    Hamiltonian wave equations multi-symplectic integration symplectic Runge-Kutta methods symplectic Runge-Kutta-Nyström methods.