On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations

doi:10.1016/j.amc.2006.05.007

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	On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations
	Li, Qinghong ; Sun, Yajuan ; Wang, Yushun
	2006-11-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	182 期号:2 页码:1056-1063
摘要	Many conservative partial differential equations (PDEs), such as wave equations, Schrodinger equations, KdV equations, Maxwell equations and so on, allow for a multisymplectic formulation which can be regarded as a generalization of the symplectic structure of Hamiltonian ordinary differential equations (ODEs). In this note, for Hamiltonian wave equations, we show the discretization in space and time using two symplectic Runge-Kutta-Nystrom (SRKN) methods respectively leads to a multisymplectic integrator which can preserve a discrete multisymplectic conservation law. Moreover, we discuss the energy and momentum conservative properties of the multisymplectic integrator for the wave equations with a quadratic potential. (c) 2006 Elsevier Inc. All rights reserved.
关键词	Hamiltonian wave equations multisymplectic integrators symplectic Runge-Kutta-Nystrom methods energy and momentum conservation laws
DOI	10.1016/j.amc.2006.05.007
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000243202500010
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3621
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Qinghong
作者单位	1.Nanjing Normal Univ, Sch Math & CS, Nanjing 210097, Peoples R China 2.Chuzhou Coll, Dept Math, Chuzhou 239000, Peoples R China 3.Chinese Acad Sci, AMSS, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Qinghong,Sun, Yajuan,Wang, Yushun. On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,182(2):1056-1063.
APA	Li, Qinghong,Sun, Yajuan,&Wang, Yushun.(2006).On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations.APPLIED MATHEMATICS AND COMPUTATION,182(2),1056-1063.
MLA	Li, Qinghong,et al."On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations".APPLIED MATHEMATICS AND COMPUTATION 182.2(2006):1056-1063.