High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods
文献类型：期刊论文
| 作者 | Tang, Wensheng1,3; Sun, Yajuan4 ; Zhang, Jingjing2
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2019-11-15 |
| 卷号 | 361页码:670-679 |
| 关键词 | Continuous-stage Runge-Kutta-Nystrom methods Hamiltonian systems Symplectic integrators Legendre polynomial expansion Simplifying assumptions |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2019.06.031 |
| 英文摘要 | On the basis of the previous work by Tang and Zhang [37], in this paper we present a more effective way to construct high-order symplectic integrators for solving second order Hamiltonian equations. Instead of analyzing order conditions step by step as shown in the previous work, the new technique of this paper is using Legendre expansions to deal with the simplifying assumptions for order conditions. With the new technique, high-order symplectic integrators can be conveniently devised by truncating an orthogonal series. (C) 2019 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11401055] ; China Scholarship Council[201708430066] ; Scientific Research Fund of Hunan Provincial Education Department[15C0028] ; Foundation of the NNSFC[11271357] ; Foundation of the NNSFC[11201125] ; Foundation of the NNSFC[11761033] ; Foundation for Innovative Research Groups of the NNSFC[11321061] ; ITER-China Program[2014GB124005] ; PhD scientific research foundation of East China Jiaotong University |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000474545500054 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35170]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Tang, Wensheng; Sun, Yajuan |
| 作者单位 | 1.Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China 2.East China Jiaotong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China 3.Changsha Univ Sci & Technol, Coll Math & Stat, Changsha 410114, Hunan, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, Wensheng,Sun, Yajuan,Zhang, Jingjing. High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods[J]. APPLIED MATHEMATICS AND COMPUTATION,2019,361:670-679. |
| APA | Tang, Wensheng,Sun, Yajuan,&Zhang, Jingjing.(2019).High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods.APPLIED MATHEMATICS AND COMPUTATION,361,670-679. |
| MLA | Tang, Wensheng,et al."High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods".APPLIED MATHEMATICS AND COMPUTATION 361(2019):670-679. |
入库方式： OAI收割
来源：数学与系统科学研究院
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