TWODQD an adaptive routine for two-dimensional integration
type: Item
instance of: scholarly article
title: TWODQD an adaptive routine for two-dimensional integration
zbMATH Open document ID: 0615.65026
DOI: 10.1016/0377-0427(87)90048-3
author: David K. Kahaner
author: Ottis W. Rechard
published in: Journal of Computational and Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: An algorithm is developed for computing the two-dimensional integral: \(\int_{R}f(x,y)dy dx\), where R is assumed to be made up of triangles. A local quadrature module is provided in it for estimating the integral and the error over triangles. The triangle with the largest error is divided into two small triangles by a median to its longest side, and the local quadrature module is applied for new estimation. The number of the repetition is conditioned on the magnitude of the error and on the number of the input parameter.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 3997005
zbMATH Keywords: two-dimensional integration
zbMATH Keywords: cubature formulas
zbMATH Keywords: Lyness-Jesperson rule
zbMATH Keywords: local quadrature module
describes a project that uses: QUADPACK
describes a project that uses: CUBTRI
describes a project that uses: TRIEX
MaRDI profile type: Publication
full work available at URL: 0377-0427(87)90048-3
OpenAlex ID: W2094539014
cites work: Algorithm 584: CUBTRI: Automatic Cubature over a Triangle
cites work: Moderate Degree Symmetric Quadrature Rules for the Triangle
cites work: Q4746719
description: scientific article; zbMATH DE number 3997005