\(d2lri\): A nonadaptive algorithm for two-dimensional cubature

DOI10.1016/S0377-0427(99)00217-4zbMath0941.65018OpenAlexW2017061360MaRDI QIDQ1964082

Yanyan Li

Publication date: 20 July 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00217-4

zbMATH Keywords

numerical examplescubature formulaelattice rulestwo-dimensional regionscubature algorithmnonadaptive algorithm

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (4)

The index of merit of \(k\)th-copy integration lattices ⋮ Extension of a class of periodizing variable transformations for numerical Integration ⋮ Further extension of a class of periodizing variable transformations for numerical integration ⋮ Numerical integration over smooth surfaces in \(\mathbb R^3\) via class \(\mathcal I_{m}\) variable transformations. I: Smooth integrands

Uses Software

• Cubpack++
• TESTPACK
• TRIEX

Cites Work

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• Lattice methods for multiple integration
• Automatic computation of improper integrals over a bounded or unbounded planar region
• Adaptive cubature over a collection of triangles using the \(d\)- transformation
• Notes on Integration and Integer Sublattices
• An Algorithm for Automatic Integration Over a Triangle Using Nonlinear Extrapolation
• Algorithm 764: Cubpack++
• An adaptive algorithm for the approximate calculation of multiple integrals
• Minimal cubature formulae of trigonometric degree

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