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.
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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.