A class of volume-preserving numerical algorithms

doi:10.1016/j.amc.2008.10.004

	A class of volume-preserving numerical algorithms
	Sun, Yajuan
	2008-12-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	206 期号:2 页码:841-852
摘要	In this paper, a class of more general volume-preserving mappings which can include two classes of existing volume-preserving mappings, is presented. Associated with these volume-preserving mappings, we get the corresponding generating functions. Since these generating functions satisfy the generalized Hamilton-Jacobi (GHJ) equations, the higher-order volume-preserving numerical algorithms are obtained by solving the GHJ equations. (c) 2008 Elsevier Inc. All rights reserved.
关键词	Volume-preserving numerical algorithms Source-free system Hamilton-Jacobi equation Generating function approach
DOI	10.1016/j.amc.2008.10.004
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000261686800040
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5923
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, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Sun, Yajuan. A class of volume-preserving numerical algorithms[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,206(2):841-852.
APA	Sun, Yajuan.(2008).A class of volume-preserving numerical algorithms.APPLIED MATHEMATICS AND COMPUTATION,206(2),841-852.
MLA	Sun, Yajuan."A class of volume-preserving numerical algorithms".APPLIED MATHEMATICS AND COMPUTATION 206.2(2008):841-852.