Modified optimal quadrature extensions
type: Item
instance of: scholarly article
title: Modified optimal quadrature extensions
zbMATH Open document ID: 0801.65016
DOI: 10.1007/BF01388702
published in: Numerische Mathematik
publication date: 1994-12-04T00:00:00Z
full work available at URL: https://eudml.org/doc/133718
review text: In order to overcome the problem of constructing optimal extensions of quadrature rules, alternatives to minimal optimal extensions are discussed; in particular, the strategy for inducing extensibility by replacing nodes with suitably chosen values. The author proves a theorem restricting the number of nodes to be modified. The paper contains illustrations of extension by replacement for Gauss-Hermite and for Gauss-Laguerre rules, and also numerical examples for the application of Gauss-Laguerre rules.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 569112
zbMATH Keywords: Gaussian formulas
zbMATH Keywords: Gauss-Hermite formulas
zbMATH Keywords: optimal extension of quadrature rules
zbMATH Keywords: numerical examples
zbMATH Keywords: Gauss-Laguerre rules
author: Thomas N. L. Patterson
describes a project that uses: EXTEND
MaRDI profile type: Publication
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OpenAlex ID: W2062985170
description: scientific article; zbMATH DE number 569112