Numerical methods of computation of singular and hypersingular integrals
type: Item
instance of: scholarly article
title: Numerical methods of computation of singular and hypersingular integrals
zbMATH Open document ID: 1029.65020
DOI: 10.1155/S0161171201010924
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2004-01-21T00:00:00Z
full work available at URL: https://eudml.org/doc/50530
review text: This is a survey on quadrature formulas \(Q_N\) for computing singular and hypersingular integrals, being optimal with respect to \(\inf_{Q_N} \sup_{\phi\in\Psi}|R_N(\phi)|\), where \(R_N\) is the corresponding remainder functional and \(\Psi\) are classes of Hölder continuous or differentiable functions. Several explicit formulas and best constants are given for bounded and unbounded domains and for the 1-D and 2-D cases.
reviewed by: Sven Ehrich
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 1751342
zbMATH Keywords: numerical integration
zbMATH Keywords: singular integrals
zbMATH Keywords: hypersingular integrals
zbMATH Keywords: optimal formulas
zbMATH Keywords: best constants
zbMATH Keywords: survey paper
zbMATH Keywords: quadrature formulas
zbMATH Keywords: unbounded domains
author: Ilia V. Boikov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1751342