Barycentric-Thiele type blending rational interpolants over rectangular grids
Journal Title: Science Paper Online - Year 2011, Vol 6, Issue 10
Abstract
New blending rational interpolants are constructed based on Thiele-type continued fraction interpolants and Barycentric rational interpolants. The new blending rational interpolation inherited the advantages of the simple expressions, easy to calculate of continued fractions and small calculation quantity, no poles, good numerical stability of barycentric rational interpolants. Numerical example and graphics are given to show the correctness and effectiveness of the new method. Key words: Thiele-type continued fraction interpolation; barycentric rational interpolants; blending rational interpolation;
Authors and Affiliations
Xiaoming Shen, Shuo Tang
Keywords
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