Bivariate Blending Thiele-Werner's Osculatory Rational Interpolation

Shuo Tang 1, Yan Liang 1*

1 Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009, China

Received June 25, 2006; Accepted (in revised version) April 24, 2007
Abstract

Both the expansive Newton's interpolating polynomial and the Thiele-Werner's interpolation are used to construct a kind of bivariate blending Thiele-Werner's osculatory rational interpolation. A recursive algorithm and its characteristic properties are given. An error estimation is obtained and a numerical example is illustrated.

Key words: Bivariate blending interpolation; osculatory rational interpolation; Thiele-Werner's interpolation; error estimation.

AMS subject classifications: 41A20, 65D05

Correspondence to: Yan Liang , Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009, China Email: ly2004108@163.com