矩形网格上Newton-Hermite-Thiele型切触有理插值  

Newton-Hermite-Thiele's osculatory rational interpolation over rectangular grids

作　　者：梁艳[1] 唐烁[1] 

机构地区：[1]合肥工业大学理学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2007年第7期903-907,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(10171026);安徽省创新团队基金资助项目

摘　　要：文章将一元Newton-Hermite插值多项式与一元Thiele型切触有理插值结合起来,构造了一种二元混合切触有理插值公式,给出了系数算法、差商表及其误差估计。In this paper, Newton-Hermite＇s interpolation polynomials and Thiele＇s osculatory rational interpolating continued fractions are incorporated to construct a： kindof bivariate blending osculatory rational interpolants. The coefficient algorithm is given,and the table of divided differences and the error estimation are presented.

关 键 词：二元混合插值 切触插值 系数算法 误差估计 

分 类 号：O241.5[理学—计算数学]