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
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