Approximations of hypersingular integral equations by the quadrature method
type: Item
instance of: scholarly article
title: Approximations of hypersingular integral equations by the quadrature method
zbMATH Open document ID: 1112.65131
author: E. G. Ladopoulos
author: V. A. Zisis
published in: Hokkaido Mathematical Journal
publication date: 2006-11-29T00:00:00Z
review text: The authors consider the quadrature method for the solution of hypersingular integral equations of the first kind as \[ \int^b_a \frac{u(x)\,dx}{|x-t|^\lambda} = f(t), \quad 1< \lambda < 3. \] They prove the convergence of the method and given estimates of error.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 5076745
zbMATH Keywords: quadrature methods
zbMATH Keywords: error estimates
reviewed by: Ilia V. Boikov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1285766365
OpenAlex ID: W2053066524
DOI: 10.14492/HOKMJ/1285766365
description: scientific article; zbMATH DE number 5076745