Order properties of symplectic Runge-Kutta-Nystrom methods
文献类型：期刊论文
| 作者 | Xiao, AG; Tang, YF
|
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2004-02-01 |
| 卷号 | 47期号:4-5页码:569-582 |
| 关键词 | Runge-Kutta-Nystrom method Hamiltonian system symplecticity order condition |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/S0898-1221(04)00047-1 |
| 英文摘要 | In this paper, some characteristics and order proper-ties of symplectic Runge-Kutta-Nystrom (RKN) methods are given. By using a transformation technique, a family of high-order implicit symplectic RKN methods of order 2s - 1 or order 2s is constructed, and some available symplectic RKN methods including singly-implicit, multiply-implicit, and diagonally-implicit symplectic RKN methods are investigated. As examples, two-stage and three-stage symplectic RKN methods are derived in detail. (C) 2004 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000220780600007 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/602]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Tang, YF |
| 作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Sci & Engn Comp, Beijing 100080, Peoples R China 2.Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xiao, AG,Tang, YF. Order properties of symplectic Runge-Kutta-Nystrom methods[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2004,47(4-5):569-582. |
| APA | Xiao, AG,&Tang, YF.(2004).Order properties of symplectic Runge-Kutta-Nystrom methods.COMPUTERS & MATHEMATICS WITH APPLICATIONS,47(4-5),569-582. |
| MLA | Xiao, AG,et al."Order properties of symplectic Runge-Kutta-Nystrom methods".COMPUTERS & MATHEMATICS WITH APPLICATIONS 47.4-5(2004):569-582. |
入库方式： OAI收割
来源：数学与系统科学研究院
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