Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations

doi:10.1007/s00211-008-0204-4

	Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations
	Hong, Jialin1 ; Jiang, Shanshan 1,2; Li, Chun 1,2
	2009-03-01
Source Publication	NUMERISCHE MATHEMATIK
ISSN	0029-599X
Volume	112 Issue:1 Pages: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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