A collocation method for the numerical solution of a two-dimensional integral equation using a quadratic spline quasi-interpolant
type: Item
instance of: scholarly article
title: A collocation method for the numerical solution of a two-dimensional integral equation using a quadratic spline quasi-interpolant
zbMATH Open document ID: 1266.65206
published in: Numerical Algorithms
publication date: 2013-03-27T00:00:00Z
review text: The authors first give the definition and the main properties of the spline quasi-interpolant and the bivariate quadratic spline quasi-interpolant. They define collocation methods based on bivariate quadratic spline quasi-interpolants and discuss the system of linear equations which needs to be solved to obtain the appropriate solution. Convergence of these methods and their iterated versions are discussed. A discrete version of the proposed method is also defined and a numerical validation is given.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 6148997
zbMATH Keywords: collocation
zbMATH Keywords: integral equations
zbMATH Keywords: spline quasi-interpolant
zbMATH Keywords: numerical example
zbMATH Keywords: convergence
author: C. Allouch
author: P. Sablonnière
author: D. Sbibih
reviewed by: Seenith Sivasundaram
MaRDI profile type: Publication
full work available at URL: s11075-012-9598-2
OpenAlex ID: W1971140666
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DOI: 10.1007/S11075-012-9598-2
description: scientific article; zbMATH DE number 6148997