Numerical methods for some special Fredholm integral equations on the real line.

DOI10.1016/S0377-0427(03)00652-6zbMath1046.65113MaRDI QIDQ1426772

Giuseppe Mastroianni, Maria Carmela De Bonis, Carmelina Frammartino

Publication date: 15 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencenumerical examplesHilbert transformerror boundsLagrange interpolationorthonormal polynomialsspecial Fredholm integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (4)

A Nyström method for Fredholm integral equations on the real line ⋮ Convergence analysis of Galerkin and multi-Galerkin methods on unbounded interval using Hermite polynomials ⋮ Fourier approximation for integral equations on the real line ⋮ An exclusive spectral computational approach based on quadratic orthoexponential polynomials for solving integro-differential equations with delays on the real line

Cites Work

• Gaussian rules on unbounded intervals
• On the numerical solution of Fredholm integral equations on unbounded intervals
• Condition numbers in numerical methods for Fredholm integral equations of the second kind
• Approximation of the Hilbert transform on the real semiaxis using Laguerre zeros
• Numerical approximation of weakly singular integrals on the half line
• Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
• Approximation of the Hilbert Transform on the real line using Hermite zeros
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical methods for some special Fredholm integral equations on the real line.