矩形网格上二元有理插值的存在性问题  

THE EXISTENCE PROBLEM OF BIVARIATE RATIONAL INTERPOLATION ON RECTANGULAR GRIDS

作　　者：王家正[1] 

机构地区：[1]安徽教育学院数学系,合肥230061

出　　处：《高等学校计算数学学报》2004年第1期12-17,共6页Numerical Mathematics A Journal of Chinese Universities

基　　金：安徽省高校优秀青年教师资助计划项目(2000jq149)

摘　　要：In this paper, making use of bivariate polynomial Lagrange iterpolation formula on rectangular grids, we set up the existence criterion of bivariate rational interpolants problem and its representation formula. Numerical examples are given.In this paper, making use of bivariate polynomial Lagrange iterpola-tion formula on rectangular grids, we set up the existence criterion of bivariate rational interpolants problem and its representation formula. Numerical examples are given.

关 键 词：矩形网格 二元有理插值 存在性 有理函数 

分 类 号：O241.3[理学—计算数学]