Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions

doi:10.1016/j.amc.2011.04.015

	Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions
	Chen, Shaochun 2; Zheng, Yanjun 2; Mao, Shipeng1
	2011-07-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	217 期号:22 页码:9313-9321
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.
关键词	Lagrange interpolation Anisotropic error bounds Newton's interpolation formula
DOI	10.1016/j.amc.2011.04.015
语种	英语
资助项目	NSFC[11071226] ; NSFC[10590353]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000290902600043
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/11774
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.