Some numerical algorithms to evaluate Hadamard finite-part integrals
type: Item
instance of: scholarly article
title: Some numerical algorithms to evaluate Hadamard finite-part integrals
zbMATH Open document ID: 0858.65018
DOI: 10.1016/0377-0427(95)00134-4
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 1997-03-25T00:00:00Z
review text: The authors present some numerical algorithms for the evaluation of Hadamard finite part integrals of type \[ \int^1_{-1} \bigl[f(x)/(x-t)^2\bigr] v^{\alpha, \beta} (x)dx,\;|t|<1, \] where \(v^{\alpha, \beta}(x)\) is a Jacobi weight. For each one they obtain error bounds and study the convergence. Numerical examples are considered.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 908430
zbMATH Keywords: quadrature
zbMATH Keywords: numerical examples
zbMATH Keywords: algorithms
zbMATH Keywords: Hadamard finite part integrals
zbMATH Keywords: error bounds
zbMATH Keywords: convergence
reviewed by: Dumitru Acu
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00134-4
OpenAlex ID: W2163900016
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description: scientific article; zbMATH DE number 908430