Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line
type: Item
instance of: scholarly article
title: Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line
zbMATH Open document ID: 1051.65131
author: Dong Liang
author: Bo Zhang
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-10T00:00:00Z
review text: The paper describes some graded mesh collocation schemes for the solution of second kind Volterra integral equations of convolution type. The graded meshes introduced here are different from those previously used for Wiener-Hopf equations. The paper is structured as follows: after an introduction, the numerical schemes are described, alternative meshes are introduced and local and global error estimates are given based on different assumptions about the smoothness of the solution.
reviewed by: Neville J. Ford
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 2085968
zbMATH Keywords: second kind Volterra integral equations of convolution type
zbMATH Keywords: collocation
zbMATH Keywords: error estimates
zbMATH Keywords: Wiener-Hopf equations
zbMATH Keywords: graded mesh
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.02.024
OpenAlex ID: W2075096667
cites work: Collocation methods for second kind integral equations with non-compact operators
cites work: Q3694636
cites work: Numerical solutions of integral equations on the half line. II: The Wiener-Hopf case
cites work: Solvability and spectral properties of integral equations on the real line. I: Weighted spaces of continuous functions
cites work: The Numerical Solution of Integral Equations on the Half-Line
cites work: Iterative Solution of Linear Systems Arising from the Boundary Integral Method
cites work: The Numerical Solution of Fredholm integral Equations of the Second Kind
cites work: The convergence of Nyström methods for Wiener-Hopf equations
cites work: Product Integration-Collocation Methods for Noncompact Integral Operator Equations
cites work: On the behaviour at infinity of solutions of integral equations on the real line
cites work: Some uniform stability and convergence results for integral equations on the real line and projection methods for their solution
cites work: On asymptotic behavior at infinity and the finite section method for integral equations on the half-line
cites work: The Impedance Boundary Value Problem for the Helmholtz Equation in a Half-Plane
cites work: Asymptotic behaviour at infinity of solutions of multidimensional second kind integral equations
cites work: On the solvability of a class of second kind integral equations on unbounded domains
cites work: On the solvability of second kind integral equations on the real line
cites work: A fast two-grid and finite section method for a class of integral equations on the real line with application to an acoustic scattering problem in the half-plane
cites work: On spline approximation for a class of integral equations. I: Galerkin and collocation methods with piecewise polynomials
cites work: On spline collocation for convolution equations
cites work: On the Exponential Convergence of Spline Approximation Methods for Wiener-Hopf Equations
cites work: On Spline Approximation for a Class of Non‐Compact Integral Equations
cites work: Quadrature methods for Symm's integral equation on polygons
cites work: Nystrom-Product Integration for Wiener-Hopf Equations with Applications to Radiative Transfer
cites work: High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations
cites work: Numerical analysis for integral and related operator equations.
cites work: The degree of convergence for entire functions
cites work: Projection Methods for Integral Equations on the Half-Line
cites work: Product Integration for Weakly Singular Integral Equations
DOI: 10.1016/J.JMAA.2004.02.024
description: scientific article; zbMATH DE number 2085968