SN型多元混合切触有理插值(英文)  

SN-type multivariate blending osculatory rational interpolation

作　　者：苏本跃[1] 盛敏[2,3] 唐烁[4] 朱功勤[4] 胡万宝[2] 

机构地区：[1]安庆师范学院计算机与信息学院,安徽安庆246011 [2]安庆师范学院数学系,安徽安庆246011 [3]合肥工业大学计算机与信息学院,安徽合肥230009 [4]合肥工业大学应用数学研究所,安徽合肥230009

出　　处：《中国科学技术大学学报》2009年第6期588-593,共6页JUSTC

基　　金：Supported by the National Natural Science Foundation of China(60773128);the Natural Science Research Funds of Education Department of Anhui Province (KJ2009A123)

摘　　要：提出了一类定义在矩形网格上的二阶多元混合切触有理插值格式,记作SNm,n(x,y).新的插值格式由Salzer型插值连分式和扩展的Newton插值多项式综合构造而成.数值例子显示相对于多项式插值格式,利用混合切触有理插值格式SNm,n(x,y)可以得到较小的逼近误差,特别地,对于存在渐近线的被插函数,实例表明新方法比传统的多项式方法具有更好的逼近效果.A scheme for multivariate blending osculatory rational interpolation of order two has been constructed based on rectangular grids. The new interpolation function is denoted by SN （x,y） and can be constructed by incorporating both Salzer＇s interpolating continued fractions and the expansive Newton＇s interpolating polynomials. Furthermore, numerical examples are illustrated to show the approximation effects using the multivariate osculatory rational interpolation method by the constructed function SNm,n（x,y） in the end. Especially, in the case of sharp curves, illustration shows that the presented method demonstrates a better approximation effect, whereas it is sometimes inoperative using polynomial interpolation methods.

关 键 词：多元混合插值 SNMORIs切触有理插值 

分 类 号：O174.4[理学—数学] O241.8[理学—基础数学]