Derivation and implementation of an algorithm for singular integrals
type: Item
instance of: scholarly article
title: Derivation and implementation of an algorithm for singular integrals
zbMATH Open document ID: 0618.65011
DOI: 10.1007/BF02240098
author: F. Caliò
author: E. Marchetti
published in: Computing
publication date: 1987-01-01T00:00:00Z
review text: We give the possibility to evaluate the following integral: (1) \(I=\int^{a}_{b}w(t)g(t)dt\) where the weight function w(t) is a linear combination of functions having algebraic and logarithmic singularities either in a or in b. In order to evaluate the integral (1) we suggest and synthesize an algorithm for the construction of a class of extended Gaussian quadrature rules. We also describe and comment a Fortran code which carries out this algorithm, and we provide some meaningful numerical results and comparisons.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 30E20
Mathematics Subject Classification ID: 26-04
zbMATH DE Number: 4003346
zbMATH Keywords: numerical examples
zbMATH Keywords: FORTRAN program
zbMATH Keywords: weight function
zbMATH Keywords: algebraic and logarithmic singularities
zbMATH Keywords: Gaussian quadrature rules
zbMATH Keywords: comparisons
describes a project that uses: QUADPACK
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4003346