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Bivariate Blending Thiele-Werner's Osculatory Rational Interpolation
作者姓名:Shuo  Tang  Yan  Liang
作者单位:Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009, China
摘    要: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.

关 键 词:二元混合插值法  有理插值  误差估计  Thiele-Werner插值
修稿时间:2006-06-252007-04-24

Bivariate Blending Thiele-Werner's Osculatory Rational Interpolation
Shuo Tang Yan Liang.Bivariate Blending Thiele-Werner''''s Osculatory Rational Interpolation[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(3):271-288.
Authors:Shuo Tang  Yan Liang
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.
Keywords:Bivariate blending interpolation  osculatory rational interpolation  Thiele-Werner's interpolation  error estimation  
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