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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2021

03-08-2020 | Original Research

Modified Shepard’s method by six-points local interpolant

Authors: Otheman Nouisser, Benaissa Zerroudi

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2021

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Abstract

In this paper, we present an improvement of the Hexagonal Shepard method which uses functional and first order derivative data. More in details, we use six-point basis functions in combination with the modified local interpolant on six-points. The resulting operator reproduces polynomials up to degree 3 and has quartic approximation order. Several numerical results show the good accuracy of approximation of the proposed operator.
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Metadata
Title
Modified Shepard’s method by six-points local interpolant
Authors
Otheman Nouisser
Benaissa Zerroudi
Publication date
03-08-2020
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2021
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-020-01409-5

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