CSpace  > 计算数学与科学工程计算研究所
Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations
Hong, Jialin1; Jiang, Shanshan1,2; Li, Chun1,2
2009-03-01
Source PublicationNUMERISCHE MATHEMATIK
ISSN0029-599X
Volume112Issue:1Pages:1-23
AbstractWe 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.
DOI10.1007/s00211-008-0204-4
Language英语
Funding ProjectDirector 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 AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000263525100001
PublisherSPRINGER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/8169
Collection计算数学与科学工程计算研究所
Corresponding AuthorHong, Jialin
Affiliation1.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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Hong, Jialin]'s Articles
[Jiang, Shanshan]'s Articles
[Li, Chun]'s Articles
Baidu academic
Similar articles in Baidu academic
[Hong, Jialin]'s Articles
[Jiang, Shanshan]'s Articles
[Li, Chun]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Hong, Jialin]'s Articles
[Jiang, Shanshan]'s Articles
[Li, Chun]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.