TETRAHEDRAL C^m INTERPOLATION BY RATIONAL FUNCTIONS

作     者：Guo-liang Xu Chuan I Chu Wei-min Xue 

作者机构：State Key Laboratory of Scientific and Engineering ComputingInstitute of Computational Mathematics and Scientific/Engineering ComputingAcademy of Mathematics an d Systems SciencesChinese Academy of SciencesBeijing 100080China Department of MathematicsHong Kong Baptist UniversityKowloonHong Kong 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2001年第19卷第2期

页      面：131-138页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Supported partially by NSFC under Project 1967108  Croucher Foundation of Hong Kong and FRG ofHong Kong Baptist University 

主　　题：C-m interpolation rational functions tetrahedra 

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.