Uniform convergence estimates for a collocation method for the Cauchy singular integral equation
type: Item
instance of: scholarly article
title: Uniform convergence estimates for a collocation method for the Cauchy singular integral equation
zbMATH Open document ID: 0882.65137
published in: Journal of Integral Equations and Applications
publication date: 1998-03-05T00:00:00Z
full work available at URL: contents.htm
review text: A Cauchy singular integral equation with constant coefficients is considered. The convergence and the stability of the collocation and the discrete collocation method for the above equation with weakly singular perturbation kernels in some weighted uniform norms are proved. Moreover, uniform error estimates are obtained.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 1062196
zbMATH Keywords: uniform convergence
zbMATH Keywords: Cauchy singular integral equation
zbMATH Keywords: stability
zbMATH Keywords: collocation method
zbMATH Keywords: error estimates
author: M. R. Capobianco
author: Maria Grazia Russo
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
OpenAlex ID: W1966300372
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DOI: 10.1216/JIEA/1181075986
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description: scientific article; zbMATH DE number 1062196