LINEAR STABILITY OF PARTITIONED RUNGE-KUTTA METHODS

doi:10.1137/100787234

	LINEAR STABILITY OF PARTITIONED RUNGE-KUTTA METHODS
	McLachlan, R. I.1; Sun, Y.2 ; Tse, P. S. P.2
	2011
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	49 期号:1 页码:232-263
摘要	We study the linear stability of partitioned Runge-Kutta (PRK) methods applied to linear separable Hamiltonian ODEs and to the semidiscretization of certain Hamiltonian PDEs. We extend the work of Jay and Petzold [Highly Oscillatory Systems and Periodic Stability, Preprint 95-015, Army High Performance Computing Research Center, Stanford, CA, 1995] by presenting simplified expressions of the trace of the stability matrix, tr M(s), for the Lobatto IIIA-IIIB family of symplectic PRK methods. By making the connection to Pade approximants and continued fractions, we study the asymptotic behavior of tr M(s)(w) as a function of the frequency w and stage number s.
关键词	asymptotic behavior continued fractions linear stability Lobatto IIIA-IIIB methods Pade approximants trace of stability matrix
DOI	10.1137/100787234
语种	英语
资助项目	Royal Society of New Zealand ; National Natural Science Foundation of China[60931002] ; National Basic Research Program of China[2010CB832702] ; China Postdoctoral Science Foundation
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000287696800011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12546
专题	计算数学与科学工程计算研究所
通讯作者	McLachlan, R. I.
作者单位	1.Massey Univ, IFS, Palmerston North, New Zealand 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	McLachlan, R. I.,Sun, Y.,Tse, P. S. P.. LINEAR STABILITY OF PARTITIONED RUNGE-KUTTA METHODS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2011,49(1):232-263.
APA	McLachlan, R. I.,Sun, Y.,&Tse, P. S. P..(2011).LINEAR STABILITY OF PARTITIONED RUNGE-KUTTA METHODS.SIAM JOURNAL ON NUMERICAL ANALYSIS,49(1),232-263.
MLA	McLachlan, R. I.,et al."LINEAR STABILITY OF PARTITIONED RUNGE-KUTTA METHODS".SIAM JOURNAL ON NUMERICAL ANALYSIS 49.1(2011):232-263.