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Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations
Hong, Jialin1; Jiang, Shanshan2; Li, Chun1
Abstractin this paper, we propose explicit multi-symplectic schemes for Klein-Gordon-Schrodinger equation by concatenating suitable symplectic Runge-Kutta-type methods and symplectic Runge-Kutta-Nystrom-type methods for discretizing every partial derivative in each sub-equation. It is further shown that methods constructed in this way are multi-symplectic and preserve exactly the discrete charge conservation law provided appropriate boundary conditions. In the aim of the commonly practical applications, a novel 2-order-one-parameter family of explicit multi-symplectic schemes through such concatenation is constructed, and the numerous numerical experiments and comparisons are presented to show the efficiency and some advantages of the our newly derived methods. Furthermore, some high-order explicit multi-symplectic schemes of such category are given as well, good performances and efficiencies and some significant advantages for preserving the important invariants are investigated by means of numerical experiments. (C) 2009 Elsevier Inc. All rights reserved.
KeywordKlein-Gordon-Schrodinger equation Multi-symplectic integrator Runge-Kutta-Nystrom method Runge-Kutta-type method Explicit
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000265059100023
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Document Type期刊论文
Corresponding AuthorHong, Jialin
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Recommended Citation
GB/T 7714
Hong, Jialin,Jiang, Shanshan,Li, Chun. Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2009,228(9):3517-3532.
APA Hong, Jialin,Jiang, Shanshan,&Li, Chun.(2009).Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations.JOURNAL OF COMPUTATIONAL PHYSICS,228(9),3517-3532.
MLA Hong, Jialin,et al."Explicit multi-symplectic methods for Klein-Gordon-Schrodinger equations".JOURNAL OF COMPUTATIONAL PHYSICS 228.9(2009):3517-3532.
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