Multisymplectic schemes for the nonlinear Klein-Gordon equation
Wang, YS; Qin, MZ
AbstractIn this paper, we derive the multisymplectic structure of the nonlinear Klein-Gordon equation directly from the variational principle and show the connection between the relative theories of Bridges-Reich's and Marsdon-Partrick-Shkoller's. In the numerical aspect, we construct a series of multisymplectic schemes for the nonlinear Klein-Gordon equation. Among these schemes, some are the classical, such as the five points scheme and the Preissman box scheme, some are new which we never encountered in the literature. Some numerical results are also reported to show the effectiveness of the schemes. (C) 2002 Elsevier Science Ltd. All rights reserved.
Keywordmultisymplectic structure variational principle multisymplectic schemes nonlinear Klein-Gordon equation numerical experiments
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS IDWOS:000179831100002
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Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Chinese Acad Sci, Inst Atmospher Phys, LASG, Beijing 100029, Peoples R China
2.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Wang, YS,Qin, MZ. Multisymplectic schemes for the nonlinear Klein-Gordon equation[J]. MATHEMATICAL AND COMPUTER MODELLING,2002,36(9-10):963-977.
APA Wang, YS,&Qin, MZ.(2002).Multisymplectic schemes for the nonlinear Klein-Gordon equation.MATHEMATICAL AND COMPUTER MODELLING,36(9-10),963-977.
MLA Wang, YS,et al."Multisymplectic schemes for the nonlinear Klein-Gordon equation".MATHEMATICAL AND COMPUTER MODELLING 36.9-10(2002):963-977.
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