Analysis of finite dimensional approximations to a class of partial differential equations
文献类型:期刊论文
作者 | Bao, G; Zhou, AH |
刊名 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
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出版日期 | 2004-11-25 |
卷号 | 27期号:17页码:2055-2066 |
关键词 | convergence error analysis finite dimensional approximation Fredholm differential equation |
ISSN号 | 0170-4214 |
DOI | 10.1002/mma.539 |
英文摘要 | In this paper, a unified approach for analysing finite dimensional approximations to a class of partial differential equations boundary value problems (second-kind Fredholm differential equations) is introduced. The approach is shown to be general despite of its extremely simple form. In particular, it is expected to be useful in the convergence analysis of finite element methods for solving PDE problems. Three specific examples are presented to illustrate the broad applicability of the approach. Copyright (C) 2004 John Wiley Sons, Ltd. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000225252800006 |
出版者 | WILEY-BLACKWELL |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/614] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Bao, G |
作者单位 | 1.Michigan State Univ, Dept Math, E Lansing, MI 48824 USA 2.Jilin Univ, Sch Math, Changchun 130023, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Bao, G,Zhou, AH. Analysis of finite dimensional approximations to a class of partial differential equations[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2004,27(17):2055-2066. |
APA | Bao, G,&Zhou, AH.(2004).Analysis of finite dimensional approximations to a class of partial differential equations.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,27(17),2055-2066. |
MLA | Bao, G,et al."Analysis of finite dimensional approximations to a class of partial differential equations".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 27.17(2004):2055-2066. |
入库方式: OAI收割
来源:数学与系统科学研究院
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