Nonstandard finite difference variational integrators for multisymplectic PDEs
type: Item
instance of: scholarly article
title: Nonstandard finite difference variational integrators for multisymplectic PDEs
zbMATH Open document ID: 1264.65176
DOI: 10.1155/2012/705179
author: C. Liao
author: Xiaohua Ding
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: We use the idea of nonstandard finite difference methods to derive the discrete variational integrators for multisymplectic PDEs. We obtain a nonstandard finite difference variational integrator for linear wave equation with a triangle discretization and two nonstandard finite difference variational integrators for the nonlinear Klein-Gordon equation with a triangle discretization and a square discretization, respectively. These methods are naturally multisymplectic. Their discrete multisymplectic structures are presented by the multisymplectic form formulas. The convergence of the discretization schemes is discussed. The effectiveness and efficiency of the proposed methods are verified by the numerical experiments.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65P10
zbMATH DE Number: 6169959
Wikidata QID: Q58907195
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/705179
OpenAlex ID: W2016368834
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description: scientific article; zbMATH DE number 6169959