Year: 2001
Author: Guo-Liang Xu, Chuan I Chu, Wei-Min Xue
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 131–138
Abstract
A general local Cm(m≥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 C2m data at vertices and Cm data on faces are given or k+E[k/3]+1 order algebraic precision if Ck(k≤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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8964
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 131–138
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Cm interpolation Rational functions Tetrahedra.