Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators

doi:10.1016/j.amc.2010.12.088

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	Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators
	Ding, Xiaohua 2; Liu, Hongyu 1; Shang, Zaijiu 3; Sun, Geng 3
	2011-03-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	217 期号:13 页码:6105-6114
摘要	Based on reasonable testing model problems, we study the preservation by symplectic Runge-Kutta method (SRK) and symplectic partitioned Runge-Kutta method (SPRK) of structures for fixed points of linear Hamiltonian systems. The structure-preservation region provides a practical criterion for choosing step-size in symplectic computation. Examples are given to justify the investigation. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Symplectic Runge-Kutta method Symplectic partitioned Runge-Kutta method Equilibrium structure Composition method Stability
DOI	10.1016/j.amc.2010.12.088
语种	英语
资助项目	NSF of China[10271036] ; NSF of China[10571173] ; NSF of China[10471145] ; NSF of HIT (Weihai)[200518]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000287690400010
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/11563
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Hongyu
作者单位	1.Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA 2.Harbin Inst Technol Wei hai, Dept Math, Weihai 264209, Peoples R China 3.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding, Xiaohua,Liu, Hongyu,Shang, Zaijiu,et al. Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators[J]. APPLIED MATHEMATICS AND COMPUTATION,2011,217(13):6105-6114.
APA	Ding, Xiaohua,Liu, Hongyu,Shang, Zaijiu,&Sun, Geng.(2011).Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators.APPLIED MATHEMATICS AND COMPUTATION,217(13),6105-6114.
MLA	Ding, Xiaohua,et al."Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators".APPLIED MATHEMATICS AND COMPUTATION 217.13(2011):6105-6114.