A Nyström method for Fredholm integral equations with right-hand sides having isolated singularities
type: Item
instance of: scholarly article
title: A Nyström method for Fredholm integral equations with right-hand sides having isolated singularities
zbMATH Open document ID: 1181.65147
author: Luisa Fermo
author: Maria Grazia Russo
published in: Calcolo
publication date: 2009-10-19T00:00:00Z
review text: Fredholm integral equations on the interval \([-1,1]\) with right-hand sides having isolated algebraic singularities and with a kernel that can have algebraic singularities at the end points are considered. The original equation is reduced to an equivalent system of Fredholm integral equations with smooth input functions. The Nystrom method is applied to the system after a polynomial regularization. The convergence, stability and well conditioning of the method is proved in spaces of weighted continuous functions. The special case of a weakly singular and symmetric kernel is also investigated. Several numerical tests are included.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 5617998
zbMATH Keywords: Fredholm integral equations
zbMATH Keywords: Nyström method
zbMATH Keywords: singularity
zbMATH Keywords: numerical examples
zbMATH Keywords: polynomial regularization
zbMATH Keywords: convergence
zbMATH Keywords: stability
zbMATH Keywords: conditioning
reviewed by: Ilia V. Boikov
MaRDI profile type: Publication
full work available at URL: s10092-009-0004-y
OpenAlex ID: W2021356049
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DOI: 10.1007/S10092-009-0004-Y
description: scientific article; zbMATH DE number 5617998