TRIANGULAR C^m INTERPOLATION BY RATIONAL FUNCTIONS

作     者：Xu Guoliang Chu Chuan Xue Weimin 

作者机构：State Key Laboratory of Scientific and Engineering Computing ICMSECChinese Academy of SciencesBeijing 100080PRC Department of MathematicsHong Kong Baptist UniversityKowloonHong Kong 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2000年第16卷第4期

页      面：33-54页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：NSFC under Project 1967108 and Croucher Foundation of Hong Kong  Supported also by FRGof Hong Kong Baptist University 

主　　题：oscillatory integral operator multiplier singularity 

摘      要：Two general local Cm triangular interpolation schemes by rational functions from Cm data are proposed for any nonnegative integer m. The schemes can have either 2m+1 order algebraic precision if the required data are given on vertices and edges, or m+E[m/2]+1 or m+1 order algebraic precision if the data are given only at vertices. The orders of the interpolation error are estimated. Examples that show the correctness and effectiveness of the scheme are presented.