Order properties of symplectic Runge-Kutta-Nystrom methods

doi:10.1016/S0898-1221(04)00047-1

	Order properties of symplectic Runge-Kutta-Nystrom methods
	Xiao, AG ; Tang, YF
	2004-02-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	47 期号:4-5 页码:569-582
摘要	In this paper, some characteristics and order proper-ties of symplectic Runge-Kutta-Nystrom (RKN) methods are given. By using a transformation technique, a family of high-order implicit symplectic RKN methods of order 2s - 1 or order 2s is constructed, and some available symplectic RKN methods including singly-implicit, multiply-implicit, and diagonally-implicit symplectic RKN methods are investigated. As examples, two-stage and three-stage symplectic RKN methods are derived in detail. (C) 2004 Elsevier Ltd. All rights reserved.
关键词	Runge-Kutta-Nystrom method Hamiltonian system symplecticity order condition
DOI	10.1016/S0898-1221(04)00047-1
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000220780600007
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/603
专题	计算数学与科学工程计算研究所
通讯作者	Tang, YF
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Sci & Engn Comp, Beijing 100080, Peoples R China 2.Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China
推荐引用方式 GB/T 7714	Xiao, AG,Tang, YF. Order properties of symplectic Runge-Kutta-Nystrom methods[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2004,47(4-5):569-582.
APA	Xiao, AG,&Tang, YF.(2004).Order properties of symplectic Runge-Kutta-Nystrom methods.COMPUTERS & MATHEMATICS WITH APPLICATIONS,47(4-5),569-582.
MLA	Xiao, AG,et al."Order properties of symplectic Runge-Kutta-Nystrom methods".COMPUTERS & MATHEMATICS WITH APPLICATIONS 47.4-5(2004):569-582.