The convergence of Nyström methods for Wiener-Hopf equations
type: Item
instance of: scholarly article
title: The convergence of Nyström methods for Wiener-Hopf equations
zbMATH Open document ID: 0621.65138
DOI: 10.1007/BF01398884
author: I. G. Graham
author: Graeme Chandler
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133240
review text: We consider second kind integral equations on the half-line; where the integral operator is a compact perturbation of a convolution operator. It is shown that these may be solved numerically by Nyström methods based on composite quadrature rules. Provided the underlying mesh is graded to correctly match the behaviour of the solution, we prove the same rates of convergence that occur when the methods are applied to equations on finite intervals. Numerical examples are given.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 4007682
zbMATH Keywords: compact perturbation
zbMATH Keywords: Wiener-Hopf equations
zbMATH Keywords: second kind integral
zbMATH Keywords: half- line
zbMATH Keywords: convolution operator
zbMATH Keywords: Nyström methods
zbMATH Keywords: composite quadrature rules
zbMATH Keywords: rates of convergence
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
cites work: Q4124250
cites work: The Numerical Solution of Integral Equations on the Half-Line
cites work: Q5635885
cites work: Q3694636
cites work: Q4151113
cites work: Product Integration-Collocation Methods for Noncompact Integral Operator Equations
cites work: High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations
cites work: Q4757340
cites work: Q4097708
cites work: Q3251655
cites work: Q4760427
cites work: Projection Methods for Integral Equations on the Half-Line
cites work: Q5186694
cites work: A PRESSURIZED CRACK IN THE FORM OF A CROSS
cites work: A crack perpendicular to an elastic half-plane
OpenAlex ID: W2046601122
description: scientific article; zbMATH DE number 4007682