On a class of Gauss-like quadrature rules
type: Item
instance of: scholarly article
title: On a class of Gauss-like quadrature rules
zbMATH Open document ID: 0803.65017
author: Carlos Borges
published in: Numerische Mathematik
publication date: 1995-01-02T00:00:00Z
review text: The Gauss rules considered in this paper are for problems where the integrand and integration interval is fixed for a number of different weight functions. Problems like this arise in computer graphics computations, where it is desirable to minimize the number of required integrand evaluations. The author shows how to construct maximal degree integration rules that share the same set of integrand evaluation points between all of the weight functions. Conditions are given to guarantee the existence of rules that have real and distinct points contained within the integration interval. There is also some discussion about the practical computation of the points and weights for the new rules, and an example is given to illustrate their use.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 569100
zbMATH Keywords: Gauss quadrature
zbMATH Keywords: numerical example
zbMATH Keywords: computer graphics computations
zbMATH Keywords: maximal degree integration rules
zbMATH Keywords: practical computation of the points and weights
reviewed by: A. Genz
MaRDI profile type: Publication
full work available at URL: s002110050028
OpenAlex ID: W2021613448
DOI: 10.1007/S002110050028
description: scientific article; zbMATH DE number 569100