Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations

doi:10.1007/s00211-008-0170-x

	Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations
	Hong, Jialin; Sun, Yajuan
	2008-10-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	110 期号:4 页码:491-519
摘要	The De Donder-Weyl (DW) Hamilton-Jacobi equation is investigated in this paper, and the connection between the DW Hamilton-Jacobi equation and multi-symplectic Hamiltonian system is established. Based on the DW Hamilton-Jacobi theory, generating functions for multi-symplectic Runge-Kutta (RK) methods and partitioned Runge-Kutta (PRK) methods are presented.
DOI	10.1007/s00211-008-0170-x
语种	英语
资助项目	Foundation of ICMSEC ; LSEC ; AMSS ; CAS ; NNSFC[10501050] ; NNSFC[19971089] ; NNSFC[10371128] ; Major State Basic Research Projects of China[2005CB321701]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000259576600003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6793
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	Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Hong, Jialin,Sun, Yajuan. Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations[J]. NUMERISCHE MATHEMATIK,2008,110(4):491-519.
APA	Hong, Jialin,&Sun, Yajuan.(2008).Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations.NUMERISCHE MATHEMATIK,110(4),491-519.
MLA	Hong, Jialin,et al."Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations".NUMERISCHE MATHEMATIK 110.4(2008):491-519.