\(d2lri\): A nonadaptive algorithm for two-dimensional cubature
type: Item
instance of: scholarly article
title: \(d2lri\): A nonadaptive algorithm for two-dimensional cubature
zbMATH Open document ID: 0941.65018
DOI: 10.1016/S0377-0427(99)00217-4
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2000-07-20T00:00:00Z
review text: The authors study a new cubature algorithm which may be used for integration over two-dimensional regions of great generality, including finite regions with variable boundaries and infinite and semi-infinite regions. This algorithm (\(d2lri\)) is applicable to a wide variety of types and appears to be more effective than adaptive methods in many cases involving singularities along the boundary of the region of integration. \(d2lri\) is very efficient for many quite difficult integrals and when high accuracies are required. Numerical examples are given.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 1398801
zbMATH Keywords: cubature formulae
zbMATH Keywords: lattice rules
zbMATH Keywords: nonadaptive algorithm
zbMATH Keywords: cubature algorithm
zbMATH Keywords: two-dimensional regions
zbMATH Keywords: numerical examples
reviewed by: Antonio López-Carmona
describes a project that uses: Cubpack++
describes a project that uses: TRIEX
describes a project that uses: TESTPACK
MaRDI profile type: Publication
cites work: Q4284651
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cites work: Algorithm 764: Cubpack++
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cites work: Notes on Integration and Integer Sublattices
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cites work: Q4284676
cites work: Lattice methods for multiple integration
cites work: Q4889887
full work available at URL: s0377-0427(99)00217-4
OpenAlex ID: W2017061360
description: scientific article; zbMATH DE number 1398801