Variational integrators for higher order differential equations

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	Variational integrators for higher order differential equations
	Sun, YJ ; Qin, MZ
	2003-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	21 期号:2 页码:135-144
摘要	We analyze three one parameter families of approximations and show that they are symplectic in Lagrangian sence and can be related to symplectic schemes in Hamiltonian sense by different symplectic mappings. We also give a direct generalization of Veselov variational principle for construction of scheme of higher order differential equations. At last, we present numerical experiments.
关键词	variational integrator symplectic mapping
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000182174300003
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18653
专题	中国科学院数学与系统科学研究院
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst 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	Sun, YJ,Qin, MZ. Variational integrators for higher order differential equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2003,21(2):135-144.
APA	Sun, YJ,&Qin, MZ.(2003).Variational integrators for higher order differential equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,21(2),135-144.
MLA	Sun, YJ,et al."Variational integrators for higher order differential equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 21.2(2003):135-144.