Adaptive quadrature -- Revisited
type: Item
instance of: scholarly article
title: Adaptive quadrature -- Revisited
zbMATH Open document ID: 0961.65018
DOI: 10.1023/A:1022318402393
author: W. Gander
author: Walter Gautschi
published in: BIT
publication date: 2001-05-16T00:00:00Z
review text: The authors present two adaptive quadrature rules. One is the adaptive Simpson rule with an improved termination criterion. The second is based on a four-point Gauss-Lobatto formula with Kronrod extensions. Matlab programs are included. In a series of test calculations these programs perform very well compared with routines included in the software libraries IMSL, NAG and Matlab. Attention is drawn to serious deficiencies in the Matlab routines quad and quad8.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 26-04
zbMATH DE Number: 1471140
zbMATH Keywords: adaptive quadrature
zbMATH Keywords: Gauss-Kronrod formulas
zbMATH Keywords: Simpson rule
zbMATH Keywords: Gauss-Lobatto formula
zbMATH Keywords: Matlab programs
Wikidata QID: Q57533312
reviewed by: Rudolf Wegmann
describes a project that uses: Matlab
describes a project that uses: NAG
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1471140