Efficient symplectic Runge-Kutta methods

doi:10.1016/j.amc.2005.02.021

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	Efficient symplectic Runge-Kutta methods
	Chan, RPK ; Liu, HY ; Sun, G
	2006-01-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	172 期号:2 页码:908-924
摘要	The present paper continues the research in [H.Y. Liu, G. Sun, Symplectic RK methods and symplectic PRK methods with real eigenvalues, J, Comput. Math. 22(5) (2004) 769-776] on symplectic Runge-Kutta (RK) methods with real eigenvalues. In a general setting, a new but simple proof of the main result in [H.Y. Liu, G. Sun, Symplectic RK methods and symplectic PRK methods with real eigenvalues, J. Comput. Math. 22(5) (2004) 769-776] is given that an s-stage, pth order such method must have that p <= s + 1 when s is odd, and p <= s when s is even. Then it is shown that in case s is odd, the maximum order is reachable. However, in comparison with composition method, the latter is superior in consideration of efficiency in high order. Some theoretically interesting properties of such methods are included. (c) 2005 Elsevier Inc. All rights reserved.
关键词	Runge-Kutta method efficiency real eigenvalues symplectic A-stability algebraically stable
DOI	10.1016/j.amc.2005.02.021
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000235557400022
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/3085
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, HY
作者单位	1.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China 2.Univ Auckland, Dept Math, Auckland 1, New Zealand 3.Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Heilongjiang, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chan, RPK,Liu, HY,Sun, G. Efficient symplectic Runge-Kutta methods[J]. APPLIED MATHEMATICS AND COMPUTATION,2006,172(2):908-924.
APA	Chan, RPK,Liu, HY,&Sun, G.(2006).Efficient symplectic Runge-Kutta methods.APPLIED MATHEMATICS AND COMPUTATION,172(2),908-924.
MLA	Chan, RPK,et al."Efficient symplectic Runge-Kutta methods".APPLIED MATHEMATICS AND COMPUTATION 172.2(2006):908-924.