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

文献类型：期刊论文

作者Ding, Xiaohua2; Liu, Hongyu1; Shang, Zaijiu3; Sun, Geng3
刊名APPLIED MATHEMATICS AND COMPUTATION
出版日期2011-03-01
卷号217期号:13页码:6105-6114
关键词Symplectic Runge-Kutta method Symplectic partitioned Runge-Kutta method Equilibrium structure Composition method Stability
ISSN号0096-3003
DOI10.1016/j.amc.2010.12.088
英文摘要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.
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
语种英语
WOS记录号WOS:000287690400010
出版者ELSEVIER SCIENCE INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11562]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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