Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs
文献类型：期刊论文
| 作者 | Tang, Wensheng1; Sun, Yajuan2,3 ; Cai, Wenjun4
|
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2017-02-01 |
| 卷号 | 330页码:340-364 |
| 关键词 | Discontinuous Galerkin method Hamiltonian systems Continuous-stage PRK method Symplectic PRK scheme Multi-symplectic PRK scheme Conservation laws |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2016.11.023 |
| 英文摘要 | In this article, we present a unified framework of discontinuous Galerkin (DG) discretizadons for Hamiltonian ODEs and PDEs. We show that with appropriate numerical fluxes the numerical algorithms deduced from DG discretizations can be combined with the symplectic methods in time to derive the multi-symplectic PRK schemes. The resulting numerical discretizations are applied to the linear and nonlinear Schrodinger equations. Some conservative properties of the numerical schemes are investigated and confirmed in the numerical experiments. (C) 2016 Elsevier Inc. All rights reserved. |
| 资助项目 | Foundation of the NNSFC[11401055] ; Foundation of the NNSFC[11271357] ; Foundation of Education Department of Hunan Province[15C0028] ; Foundation for Innovative Research Groups of the NNSFC[11321061] ; ITER-China Program[2014GB124005] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000394408900019 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24733]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Sun, Yajuan |
| 作者单位 | 1.Changsha Univ Sci & Technol, Coll Math & Stat, Changsha 410114, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Lab Computat Geodynam, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, Wensheng,Sun, Yajuan,Cai, Wenjun. Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,330:340-364. |
| APA | Tang, Wensheng,Sun, Yajuan,&Cai, Wenjun.(2017).Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs.JOURNAL OF COMPUTATIONAL PHYSICS,330,340-364. |
| MLA | Tang, Wensheng,et al."Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs".JOURNAL OF COMPUTATIONAL PHYSICS 330(2017):340-364. |
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。