Weakly singular linear Volterra integral equations: a Nyström method in weighted spaces of continuous functions
type: Item
instance of: scholarly article
title: Weakly singular linear Volterra integral equations: a Nyström method in weighted spaces of continuous functions
zbMATH Open document ID: 1482.65236
published in: Journal of Computational and Applied Mathematics
publication date: 2022-02-11T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 7472437
zbMATH Keywords: Volterra integral equations
zbMATH Keywords: Nyström method
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: orthogonal polynomials
author: Luisa Fermo
author: Donatella Occorsio
MaRDI profile type: Publication
full work available at URL: j.cam.2021.114001
OpenAlex ID: W4200533346
cites work: Q3856684
cites work: Superconvergence of interpolated collocation solutions for weakly singular Volterra integral equations of the second kind
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
cites work: Iterated Collocation Methods and Their Discretizations for Volterra Integral Equations
cites work: Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind
cites work: Improvement by Iteration for Compact Operator Equations
cites work: Convergence analysis of spectral Galerkin methods for Volterra type integral equations
cites work: A Jacobi-collocation method for second kind Volterra integral equations with a smooth kernel
cites work: Q5319785
cites work: A Jacobi spectral method for solving multidimensional linear Volterra integral equation of the second kind
cites work: Integral equations with diagonal and boundary singularities of the kernel
cites work: Solving Volterra integral equations of the second kind by sigmoidal functions approximation
cites work: Numerical solution of Volterra integral equations with singularities
cites work: A Nyström interpolant for some weakly singular linear Volterra integral equations
cites work: Volterra integral equations with highly oscillatory kernels: a new numerical method with applications
cites work: Projection Methods and Condition Numbers in Uniform Norm for Fredholm and Cauchy Singular Integral Equations
cites work: Numerical methods for Fredholm integral equations with singular right-hand sides
cites work: A mixed collocation scheme for solving second kind Fredholm integral equations in \([-1,1]\)
cites work: Uniform convergence of the collocation method for Prandtl's Integro-differential equation
cites work: Quadrature methods for integro-differential equations of Prandtl's type in weighted spaces of continuous functions
cites work: Filtered interpolation for solving Prandtl's integro-differential equations
cites work: Uniform convergence estimates for a collocation method for the Cauchy singular integral equation
cites work: Q4356299
cites work: Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution
cites work: Q3365884
cites work: Q3111381
cites work: A Nyström method for a boundary integral equation related to the Dirichlet problem on domains with corners
cites work: A Nyström method for mixed boundary value problems in domains with corners
cites work: A new stable numerical method for Mellin integral equations in weighted spaces with uniform norm
cites work: Interpolation Processes
cites work: Q3817079
cites work: Mean Convergence of Lagrange Interpolation. III
cites work: The Numerical Solution of Integral Equations of the Second Kind
cites work: Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions
cites work: An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions
DOI: 10.1016/J.CAM.2021.114001
description: scientific article; zbMATH DE number 7472437