Symplectic RK methods and symplectic PRK methods with real eigenvalues

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	Symplectic RK methods and symplectic PRK methods with real eigenvalues
	Liu, HY ; Sun, G
	2004-09-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	22 期号:5 页码:769-776
摘要	Properties of symplectic Runge-Kutta (RIK) methods and symplectic partitioned Runge-Kutta (PRK) methods with real eigenvalues are discussed in this paper. It is shown that an s stage such method can't reach order more than s + 1. Particularly, we prove that no symplectic RK method with real eigenvalues exists in stage s of order s + I when s is even. But an example constructed by using the W-transformation shows that PRK method of this type does not necessarily meet this order barrier. Another useful way other than W-transformation to construct symplectic PRK method with real eigenvalues is then presented. Finally, a class of efficient symplectic methods is recommended.
关键词	Runge-Kutta method partitioned Runge-Kutta method symplectic real eigenvalues
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000223902900012
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/19769
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.Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, HY,Sun, G. Symplectic RK methods and symplectic PRK methods with real eigenvalues[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2004,22(5):769-776.
APA	Liu, HY,&Sun, G.(2004).Symplectic RK methods and symplectic PRK methods with real eigenvalues.JOURNAL OF COMPUTATIONAL MATHEMATICS,22(5),769-776.
MLA	Liu, HY,et al."Symplectic RK methods and symplectic PRK methods with real eigenvalues".JOURNAL OF COMPUTATIONAL MATHEMATICS 22.5(2004):769-776.