中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
LINEAR STABILITY OF PARTITIONED RUNGE-KUTTA METHODS

文献类型:期刊论文

作者McLachlan, R. I.1; Sun, Y.2; Tse, P. S. P.2
刊名SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期2011
卷号49期号:1页码:232-263
关键词asymptotic behavior continued fractions linear stability Lobatto IIIA-IIIB methods Pade approximants trace of stability matrix
ISSN号0036-1429
DOI10.1137/100787234
英文摘要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.
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
语种英语
WOS记录号WOS:000287696800011
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12545]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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