Asymptotic error expansion for the Nyström method for nonlinear Fredholm integral equations of the second kind
type: Item
instance of: scholarly article
title: Asymptotic error expansion for the Nyström method for nonlinear Fredholm integral equations of the second kind
zbMATH Open document ID: 0809.65136
DOI: 10.1007/BF01955872
author: Guoqiang Han
published in: BIT
publication date: 1995-04-02T00:00:00Z
review text: The author considers the asymptotic error expansion for the Nyström method for one-dimensional nonlinear Fredholm integral equations of the second kind. He shows that the Nyström solution admits an error expansion in powers of the stepsize \(h\). Thus Richardson extrapolation can be performed on the solution, and this will greatly increase the accuracy of the numerical solution.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 644792
zbMATH Keywords: asymptotic error expansion
zbMATH Keywords: Nyström method
zbMATH Keywords: nonlinear Fredholm integral equations of the second kind
zbMATH Keywords: Richardson extrapolation
reviewed by: Josef Kofroň
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01955872
OpenAlex ID: W2048520203
description: scientific article; zbMATH DE number 644792