The bivariate Shepard operator of Bernoulli type
type: Item
instance of: scholarly article
title: The bivariate Shepard operator of Bernoulli type
zbMATH Open document ID: 1142.41001
published in: Calcolo
publication date: 2008-06-24T00:00:00Z
review text: The author studies the interpolation of very large scattered data sets. She introduces a combined operator of Bernoulli type, using the classical Shepard operator and then a modified Shepard method. They preserve the advantages and improve the reproduction qualities, have better accuracy and better computational efficiency. Some numerical examples are given.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A80
zbMATH DE Number: 5292372
zbMATH Keywords: Shepard operator
zbMATH Keywords: Bernoulli operator
zbMATH Keywords: interpolation of scattered data
zbMATH Keywords: error estimation
author: Teodora Cătinaş
reviewed by: Antonio López-Carmona
describes a project that uses: QSHEP3D
MaRDI profile type: Publication
full work available at URL: s10092-007-0136-x
OpenAlex ID: W2105580514
cites work: Q3996272
cites work: Shepard--Bernoulli operators
cites work: Shepard operators of Birkhoff-type
cites work: Q5290974
cites work: Q4429211
cites work: Expansion over a rectangle of real functions in Bernoulli polynomials and applications
cites work: Q4273944
cites work: Q3817079
cites work: Rate of Convergence of Shepard's Global Interpolation Formula
cites work: Scattered Data Interpolation: Tests of Some Method
cites work: Smooth interpolation of large sets of scattered data
cites work: Radial basis functions for the multivariate interpolation of large scattered data sets
cites work: A triangle-based \(C^ 1\) interpolation method
cites work: Multivariate interpolation of large sets of scattered data
cites work: Q5723322
cites work: The Remainder of Certain Linear Approximation Formulas in Two Variables
DOI: 10.1007/S10092-007-0136-X
description: scientific article; zbMATH DE number 5292372