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
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| 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 |
| DOI | 10.1137/100787234 |
| 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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