On polynomial collocation for second kind integral equations with fixed singularities of Mellin type
type: Item
instance of: scholarly article
title: On polynomial collocation for second kind integral equations with fixed singularities of Mellin type
zbMATH Open document ID: 1049.65154
author: Giuseppe Mastroianni
author: Carmelina Frammartino
author: Andreas Rathsfeld
published in: Numerische Mathematik
publication date: 2003-08-19T00:00:00Z
review text: The authors consider a method of polynomial collocation for the numerical solution of a second kind integral equation with an integral kernel of Mellin convolution type. Using a stability result by \textit{P. Junghanns} and \textit{A. Rathsfeld} [On polynomial collocation for Cauchy singular integral equations with fixed singularities. Integral Equations Operator Theory (to appear)], it is proved that the error of the approximate solution is less than a logarithmic factor times the best approximation and using the asymptotics of the solutions the rate of convergence is derived. Also an algorithm to compute the matrix stiffness is presented.
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 1967704
zbMATH Keywords: polynomial collocation
zbMATH Keywords: second kind integral equations
zbMATH Keywords: error bound
zbMATH Keywords: integral kernel of Mellin convolution type stability
zbMATH Keywords: algorithm
zbMATH Keywords: convergence
reviewed by: Francisco Pérez Acosta
MaRDI profile type: Publication
full work available at URL: s00211-002-0420-2
OpenAlex ID: W2010680388
DOI: 10.1007/S00211-002-0420-2
description: scientific article; zbMATH DE number 1967704