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Local structure-preserving algorithms for partial differential equations

文献类型：期刊论文

作者Wang YuShun1,2; Wang Bin2; Qin MengZhao3
刊名SCIENCE IN CHINA SERIES A-MATHEMATICS
出版日期2008-11-01
卷号51期号:11页码:2115-2136
关键词SPAs local conservation law construction method discrete Leibnitz rule
ISSN号1006-9283
DOI10.1007/s11425-008-0046-7
英文摘要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.
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
语种英语
WOS记录号WOS:000259820400016
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/6170]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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