Local structure-preserving algorithms for partial differential equations

doi:10.1007/s11425-008-0046-7

CSpace

	Local structure-preserving algorithms for partial differential equations
	Wang YuShun 1,2; Wang Bin 2; Qin MengZhao 3
	2008-11-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	51 期号:11 页码:2115-2136
摘要	In this paper, we discuss the concept of local structure-preserving algorithms (SPAs) for partial differential equations, which are the natural generalization of the corresponding global SPAs. Local SPAs for the problems with proper boundary conditions are global SPAs, but the inverse is not necessarily valid. The concept of the local SPAs can explain the difference between different SPAs and provide a basic theory for analyzing and constructing high performance SPAs. Furthermore, it enlarges the applicable scopes of SPAs. We also discuss the application and the construction of local SPAs and derive several new SPAs for the nonlinear Klein-Gordon equation.
关键词	SPAs local conservation law construction method discrete Leibnitz rule
DOI	10.1007/s11425-008-0046-7
语种	英语
资助项目	National Basic Research Program[2005CB321703] ; National Natural Science Foundation of China[40405019] ; National Natural Science Foundation of China[10471067] ; National Natural Science Foundation of China[10471145] ; Major Research Projects of Jiangsu Province[BK2006725] ; National Natural Science Foundation of China (Innovation Group)[40221503]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000259820400016
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6171
专题	中国科学院数学与系统科学研究院
通讯作者	Wang YuShun
作者单位	1.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China 2.Chinese Acad Sci, Inst Atmospher Phys, LASG, Beijing 100029, Peoples R China 3.Chinese Acad Sci, Inst Computat Math, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Wang YuShun,Wang Bin,Qin MengZhao. Local structure-preserving algorithms for partial differential equations[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2008,51(11):2115-2136.
APA	Wang YuShun,Wang Bin,&Qin MengZhao.(2008).Local structure-preserving algorithms for partial differential equations.SCIENCE IN CHINA SERIES A-MATHEMATICS,51(11),2115-2136.
MLA	Wang YuShun,et al."Local structure-preserving algorithms for partial differential equations".SCIENCE IN CHINA SERIES A-MATHEMATICS 51.11(2008):2115-2136.