Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations
文献类型：期刊论文
| 作者 | Chen, Chuchu2,3; Hong, Jialin2,3 ; Sim, Chol1; Sonwu, Kwang1
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| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2020-10-01 |
| 卷号 | 418页码:18 |
| 关键词 | Hamiltonian wave equations Energy preservation EQUIP multi-symplectic methods |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2020.109599 |
| 英文摘要 | It is well-known that a numerical method which is at the same time geometric structure -preserving and physical property-preserving cannot exist in general for Hamiltonian partial differential equations. Motivated by EQUIP methods proposed in Brugnano et al. (2012) [13], in this paper, we present a novel class of parametric multi-symplectic Runge-Kutta methods, called EQUIP multi-symplectic methods, for Hamiltonian wave equations, which can also conserve energy simultaneously in a weaker sense with a suitable parameter. The existence of such a parameter, which enforces the energy-preserving property, is proved under certain assumptions on the fixed step sizes and the fixed initial condition. We compare the proposed method with the classical multi-symplectic Runge-Kutta method in numerical experiments, which shows the remarkable energy-preserving property of the proposed method and illustrates the validity of theoretical results. These theoretical and numerical results show that EQUIP methods can be well adapted to handle Hamiltonian partial differential equations. (C) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[91630312] ; National Natural Science Foundation of China[11711530017] ; National Natural Science Foundation of China[11871068] ; National Natural Science Foundation of China[11971470] ; Academy of Mathematics and Systems Science, Chinese Academy of Sciences |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000561583600010 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52049]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Chen, Chuchu |
| 作者单位 | 1.Acad Sci, Inst Math, Pyongyang, North Korea 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Chuchu,Hong, Jialin,Sim, Chol,et al. Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2020,418:18. |
| APA | Chen, Chuchu,Hong, Jialin,Sim, Chol,&Sonwu, Kwang.(2020).Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations.JOURNAL OF COMPUTATIONAL PHYSICS,418,18. |
| MLA | Chen, Chuchu,et al."Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations".JOURNAL OF COMPUTATIONAL PHYSICS 418(2020):18. |
入库方式： OAI收割
来源：数学与系统科学研究院
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