Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions
文献类型:期刊论文
作者 | Chen, Shaochun2; Zheng, Yanjun2; Mao, Shipeng1![]() |
刊名 | APPLIED MATHEMATICS AND COMPUTATION
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出版日期 | 2011-07-15 |
卷号 | 217期号:22页码:9313-9321 |
关键词 | Lagrange interpolation Anisotropic error bounds Newton's interpolation formula |
ISSN号 | 0096-3003 |
DOI | 10.1016/j.amc.2011.04.015 |
英文摘要 | In this paper, using the Newton's formula of Lagrange interpolation, we present a new proof of the anisotropic error bounds for Lagrange interpolation of any order on the triangle, rectangle, tetrahedron and cube in a unified way. (C) 2011 Elsevier Inc. All rights reserved. |
资助项目 | NSFC[11071226] ; NSFC[10590353] |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000290902600043 |
出版者 | ELSEVIER SCIENCE INC |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11773] ![]() |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Mao, Shipeng |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China |
推荐引用方式 GB/T 7714 | Chen, Shaochun,Zheng, Yanjun,Mao, Shipeng. Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions[J]. APPLIED MATHEMATICS AND COMPUTATION,2011,217(22):9313-9321. |
APA | Chen, Shaochun,Zheng, Yanjun,&Mao, Shipeng.(2011).Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions.APPLIED MATHEMATICS AND COMPUTATION,217(22),9313-9321. |
MLA | Chen, Shaochun,et al."Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions".APPLIED MATHEMATICS AND COMPUTATION 217.22(2011):9313-9321. |
入库方式: OAI收割
来源:数学与系统科学研究院
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