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A new multiquadric quasi‐interpolation operator with interpolation property
Author(s) -
Wu Jinming
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2915
Subject(s) - mathematics , interpolation (computer graphics) , operator (biology) , linear interpolation , birkhoff interpolation , property (philosophy) , polynomial interpolation , stairstep interpolation , function (biology) , nearest neighbor interpolation , mathematical analysis , polynomial , computer science , artificial intelligence , motion (physics) , biochemistry , chemistry , philosophy , epistemology , repressor , transcription factor , gene , evolutionary biology , biology
In this article, we discuss a class of multiquadric quasi‐interpolation operator that is primarily on the basis of Wu–Schaback's quasi‐interpolation operatorL Dand radial basis function interpolation. The proposed operator possesses the advantages of linear polynomial reproducing property, interpolation property, and high accuracy. It can be applied to construct flexible function approximation and scattered data fitting from numerical experiments. Copyright © 2013 John Wiley & Sons, Ltd.