Numerical methods for some special Fredholm integral equations on the real line.
type: Item
instance of: scholarly article
title: Numerical methods for some special Fredholm integral equations on the real line.
zbMATH Open document ID: 1046.65113
DOI: 10.1016/S0377-0427(03)00652-6
author: Giuseppe Mastroianni
author: M. C. De Bonis
author: Carmelina Frammartino
published in: Journal of Computational and Applied Mathematics
publication date: 2004-03-15T00:00:00Z
review text: A simple numerical method is presented for some special Fredholm integral equations on the real line. Under suitable hypotheses on the smoothness of the kernel the authors propose a numerical procedure for the computation of the approximate solution based on interpolation processes, related to Hermite zeros of truncated functions. It is stable and convergent. Error estimates and some numerical examples are shown.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 2057227
zbMATH Keywords: Hilbert transform
zbMATH Keywords: special Fredholm integral equation
zbMATH Keywords: orthonormal polynomials
zbMATH Keywords: Lagrange interpolation
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: error bounds
zbMATH Keywords: numerical examples
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2057227