Tetrahedral C-m interpolation by rational functions

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	Tetrahedral C-m interpolation by rational functions
	Xu, GL ; Chu, CI ; Xue, WM
	2001-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	19 期号:2 页码:131-138
摘要	A general local C-m(m greater than or equal to 0) tetrahedral interpolation scheme by polynomials of degree 4m + 1 plus low order rational functions from the given data is proposed. The scheme can have either 4m + 1 order algebraic precision if C-2m data at vertices and C-m data on faces are given or k + E[k/3] + 1 order algebraic precision if C-k (k less than or equal to 2m) data are given at vertices. The resulted interpolant and its partial derivatives of up to order m are polynomials on the boundaries of the tetrahedra.
关键词	C-m interpolation rational functions tetrahedra
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000167634300003
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16759
专题	中国科学院数学与系统科学研究院
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Xu, GL,Chu, CI,Xue, WM. Tetrahedral C-m interpolation by rational functions[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2001,19(2):131-138.
APA	Xu, GL,Chu, CI,&Xue, WM.(2001).Tetrahedral C-m interpolation by rational functions.JOURNAL OF COMPUTATIONAL MATHEMATICS,19(2),131-138.
MLA	Xu, GL,et al."Tetrahedral C-m interpolation by rational functions".JOURNAL OF COMPUTATIONAL MATHEMATICS 19.2(2001):131-138.