Extrapolation of Nyström solution for two-dimensional nonlinear Fredholm integral equations
type: Item
instance of: scholarly article
title: Extrapolation of Nyström solution for two-dimensional nonlinear Fredholm integral equations
zbMATH Open document ID: 0963.65149
DOI: 10.1023/A:1023232820707
author: Guoqiang Han
author: Jiong Wang
published in: Journal of Scientific Computing
publication date: 2001-06-19T00:00:00Z
review text: The authors establish an extrapolation method for second kind nonlinear Fredholm integral equations on a rectangle. It is shown that the Nyström solution admits an error expansion in powers of the step sizes \(h\) and \(k\). More precise results are obtained for a special choice of the numerical quadrature, and a numerical example is presented.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 1442174
zbMATH Keywords: quadrature method
zbMATH Keywords: Nyström method
zbMATH Keywords: numerical examples
zbMATH Keywords: extrapolation method
zbMATH Keywords: second kind nonlinear Fredholm integral equations
reviewed by: Johannes Elschner
MaRDI profile type: Publication
full work available at URL: a:1023232820707
OpenAlex ID: W1591466899
description: scientific article; zbMATH DE number 1442174