Journal of Shanghai University(Natural Science Edition) ›› 2014, Vol. 20 ›› Issue (1): 107-113.doi: 10.3969/j.issn.1007-2861.2013.07.021

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

A Method of Triple Newton-Thiele Type Rational Interpolation

CUI Rong-rong1,2, GU Chuan-qing1   

  1. 1. College of Sciences, Shanghai University, Shanghai 200444, China;
    2. School of Mathematical Science, Yancheng Teachers University, Yancheng 224002, Jiangsu, China
  • Received:2013-11-03 Online:2014-02-28 Published:2014-02-28

Abstract: The bivariate Thiele-type interpolating branched continued fractions and Newton interpolation polynomials are combined. By introducing the so-called blending partial differences, a triple rational interpolation scheme is obtained. The characteristic theorem and error estimation are presented. Finally, an example is given.

Key words: blending partial difference, continued fraction, rational interpolation

CLC Number: