Tetrahedral C-m interpolation by rational functions
Xu, GL; Chu, CI; Xue, WM
AbstractA 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.
KeywordC-m interpolation rational functions tetrahedra
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000167634300003
PublisherVSP BV
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Document Type期刊论文
Affiliation1.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
Recommended Citation
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.
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