Asymptotic error expansion of two-dimensional Volterra integral equation by iterated collocation
type: Item
instance of: scholarly article
title: Asymptotic error expansion of two-dimensional Volterra integral equation by iterated collocation
zbMATH Open document ID: 0798.65123
DOI: 10.1016/0096-3003(94)90050-7
author: Guoqiang Han
author: L.-Q. Zhang
published in: Applied Mathematics and Computation
publication date: 1994-10-30T00:00:00Z
review text: The authors study the numerical solution of two-dimensional linear Volterra integral equations. Collocation and iterated collocation methods are discussed. An asymptotic error expansion for the iterated collocation solution is given. When piecewise polynomials are used, the iterated collocation solution admits an error expansion in powers of the step- sizes in the two-dimensions. For a special choice of the collocation points, the leading terms in the error expansion are of even order in the step-sizes, so that Richardson extrapolation can be done.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 566129
zbMATH Keywords: collocation
zbMATH Keywords: linear Volterra integral equations
zbMATH Keywords: asymptotic error expansion
zbMATH Keywords: Richardson extrapolation
reviewed by: Walter Petry
MaRDI profile type: Publication
full work available at URL: 0096-3003(94)90050-7
OpenAlex ID: W2109550259
cites work: Q4190083
cites work: Iterated Collocation Methods and Their Discretizations for Volterra Integral Equations
cites work: The Numerical Solution of Two-Dimensional Volterra Integral Equations by Collocation and Iterated Collocation
cites work: Q3750978
cites work: Q4287616
cites work: Q4122375
description: scientific article; zbMATH DE number 566129