KMS Of Academy of mathematics and systems sciences, CAS
Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations | |
Hong, Jialin1![]() | |
2009-03-01 | |
Source Publication | NUMERISCHE MATHEMATIK
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ISSN | 0029-599X |
Volume | 112Issue:1Pages:1-23 |
Abstract | We investigate conservative properties of Runge-Kutta methods for Hamiltonian partial differential equations. It is shown that multi-symplecitic Runge-Kutta methods preserve precisely the norm square conservation law. Based on the study of accuracy of Runge-Kutta methods applied to ordinary and partial differential equations, we present some results on the numerical accuracy of conservation laws of energy and momentum for Hamiltonian PDEs under Runge-Kutta discretizations. |
DOI | 10.1007/s00211-008-0204-4 |
Language | 英语 |
Funding Project | Director Innovation Foundation of ICMSEC and AMSS ; Foundation of CAS ; NNSFC[19971089] ; NNSFC[10371128] ; NNSFC[60771054] ; Special Funds for Major State Basic Research Projects of China[2005CB321701] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000263525100001 |
Publisher | SPRINGER |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/8169 |
Collection | 计算数学与科学工程计算研究所 |
Corresponding Author | Hong, Jialin |
Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China |
Recommended Citation GB/T 7714 | Hong, Jialin,Jiang, Shanshan,Li, Chun. Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations[J]. NUMERISCHE MATHEMATIK,2009,112(1):1-23. |
APA | Hong, Jialin,Jiang, Shanshan,&Li, Chun.(2009).Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations.NUMERISCHE MATHEMATIK,112(1),1-23. |
MLA | Hong, Jialin,et al."Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations".NUMERISCHE MATHEMATIK 112.1(2009):1-23. |
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