Superconvergence in the maximum norm of a class of piecewise polynomial collocation methods for solving linear weakly singular Volterra integro-differential equations
type: Item
instance of: scholarly article
title: Superconvergence in the maximum norm of a class of piecewise polynomial collocation methods for solving linear weakly singular Volterra integro-differential equations
zbMATH Open document ID: 1065.65148
author: Raul Kangro
author: Inga Parts
published in: Journal of Integral Equations and Applications
publication date: 2004-11-11T00:00:00Z
review text: The authors use a piecewise polynomial collocation method on graded grids for solving linear weakly singular integro-differential equations of the Volterra type. It is proved that a careful choice of the collocation parameters improves the convergence rate of the method. Moreover, the error estimates for all values of the nonuniformity parameter of the grid are obtained.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 2114500
zbMATH Keywords: linear weakly singular Volterra integro-differential equations
zbMATH Keywords: piecewise polynomial collocation method
zbMATH Keywords: superconvergence
zbMATH Keywords: error estimates
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/jiea/1181074984
OpenAlex ID: W1986676092
cites work: Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
cites work: Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations
cites work: Multidimensional weakly singular integral equations
DOI: 10.1216/JIEA/1181074984
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description: scientific article; zbMATH DE number 2114500