Numerical methods for Fredholm integral equations with singular right-hand sides
type: Item
instance of: scholarly article
title: Numerical methods for Fredholm integral equations with singular right-hand sides
zbMATH Open document ID: 1204.65153
published in: Advances in Computational Mathematics
publication date: 2010-10-13T00:00:00Z
review text: The paper is devoted to the problem of numerical solving of Fredholm integral equations with right-hand sides having singularities at the endpoints. These singularities are replaced into the regularized kernel. The developed equation is solved by the Nyström method. Convergence, stability and well conditioning of the studied method in spaces of weighted continuous functions are proved. The special case of a weakly singular and symmetric kernel is also investigated. Numerical tests close the paper.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 5799382
zbMATH Keywords: Fredholm integral equations
zbMATH Keywords: projection methods
zbMATH Keywords: Nyström method
zbMATH Keywords: singular right-hand sides
zbMATH Keywords: numerical examples
zbMATH Keywords: convergence
zbMATH Keywords: stability
zbMATH Keywords: weakly singular and symmetric kernel
author: Luisa Fermo
author: Maria Grazia Russo
reviewed by: Josef Kofroň
MaRDI profile type: Publication
full work available at URL: s10444-009-9137-4
OpenAlex ID: W2041129874
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DOI: 10.1007/S10444-009-9137-4
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description: scientific article; zbMATH DE number 5799382