Multisymplecticity of the centred box discretization for Hamiltonian PDEs with m >= 2 space dimensions

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	Multisymplecticity of the centred box discretization for Hamiltonian PDEs with m >= 2 space dimensions
	Hong, JL; Qin, MZ
	2002-11-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	15 期号:8 页码:1005-1011
摘要	In this letter, it is shown that the centred box discretization for Hamiltonian PDEs with m greater than or equal to 2 space dimensions is multisymplectic in the sense of Bridges and Reich in [1-6]. Multisymplectic discretizations for the generalized KP equation and the wave equation with 2 space dimensions, respectively, are given. A multisymplectically numerical scheme of the wave equation is derived. (C) 2002 Elsevier Science Ltd. All rights reserved.
关键词	multisymplecticity centred box scheme Hamiltonian PDEs
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000178085500014
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17439
专题	中国科学院数学与系统科学研究院
通讯作者	Hong, JL
作者单位	Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hong, JL,Qin, MZ. Multisymplecticity of the centred box discretization for Hamiltonian PDEs with m >= 2 space dimensions[J]. APPLIED MATHEMATICS LETTERS,2002,15(8):1005-1011.
APA	Hong, JL,&Qin, MZ.(2002).Multisymplecticity of the centred box discretization for Hamiltonian PDEs with m >= 2 space dimensions.APPLIED MATHEMATICS LETTERS,15(8),1005-1011.
MLA	Hong, JL,et al."Multisymplecticity of the centred box discretization for Hamiltonian PDEs with m >= 2 space dimensions".APPLIED MATHEMATICS LETTERS 15.8(2002):1005-1011.