Efficient symplectic Runge-Kutta methods
文献类型：期刊论文
| 作者 | Chan, RPK; Liu, HY; Sun, G |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2006-01-15 |
| 卷号 | 172期号:2页码:908-924 |
| 关键词 | Runge-Kutta method efficiency real eigenvalues symplectic A-stability algebraically stable |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2005.02.021 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000235557400022 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3084]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。