Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-14
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liao, Cuicui& Ding, Xiaohua. 2012. Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-993576
Modern Language Association (MLA)
Liao, Cuicui& Ding, Xiaohua. Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs. Journal of Applied Mathematics No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-993576
American Medical Association (AMA)
Liao, Cuicui& Ding, Xiaohua. Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-993576
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993576