A new proof for the convergence of the trigonometric method for the Abel integral equations of the first kind
type: Item
instance of: scholarly article
title: A new proof for the convergence of the trigonometric method for the Abel integral equations of the first kind
zbMATH Open document ID: 0707.65098
DOI: 10.1016/0377-0427(90)90032-U
author: M. R. Capobianco
published in: Journal of Computational and Applied Mathematics
publication date: 1990-01-01T00:00:00Z
review text: For the numerical solution of the Abel integral equation of the first kind a collocation method employing an interpolatory product-quadrature formula with trigonometric polynomials is used. For the convergence of this method a new proof is given.
reviewed by: M.Schleiff
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 4162218
zbMATH Keywords: trigonometric interpolation
zbMATH Keywords: Abel integral equation
zbMATH Keywords: collocation method
zbMATH Keywords: product-quadrature formula
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: A method for the numerical resolution of Abel-type integral equations of the first kind
cites work: Discretized Fractional Calculus
cites work: Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the First Kind
cites work: Q4127960
cites work: Q3968436
description: scientific article; zbMATH DE number 4162218