The combined Shepard operator of inverse quadratic and inverse multiquadric type

Abstract

Starting with the classical, the modified and the iterative Shepard methods, we construct some new Shepard type operators, using the inverse quadratic and the inverse multiquadric radial basis functions. Given some sets of points, we compute some representative subsets of knot points following an algorithm described by J.R. McMahon in 1986.

Authors

Teodora Catinas
Babes-Bolyai University, Faculty of Mathematics and Computer Sciences
Babes-Bolyai University, Faculty of Mathematics and Computer Sciences
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Keywords

Shepard operator; inverse quadratic; inverse multiquadric; knot points.

Paper coordinates

T. Cătinaș, A. Malina, The combined Shepard operator of inverse quadratic and inverse multiquadric type, Stud. Univ. Babeș-Bolyai Math., 67(2022), No. 3, pp. 579-589.

doi: http://doi.org/10.24193/subbmath.2022.3.09

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About this paper

Journal

Studia

Publisher Name

Univ. Babes-Bolyai Math.

DOI

10.24193/subbmath.2022.3.09

Print ISSN

0252-1938

Online ISSN

2065-961x

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