An embedded pair of cubature formulae of degree 5 and 7 for the triangle

DOI10.1007/BF01934099zbMath0648.65012OpenAlexW2034125823WikidataQ57779020 ScholiaQ57779020MaRDI QIDQ1105317

Ann Haegemans, Ronald Cools

Publication date: 1988

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01934099

zbMATH Keywords

triangleerror estimatecubature formulaesymmetric regionstwo-dimensional integrals

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Computer aspects of numerical algorithms (65Yxx)

Related Items

A lower bound for the number of function evaluations in an error estimate for numerical integration, Construction of cubature formulae with preassigned nodes§, Monomial cubature rules since ``Stroud: A compilation

Uses Software

• CUBTRI

Cites Work

• Optimal addition of knots to cubature formulae for planar regions
• Algorithm 584: CUBTRI: Automatic Cubature over a Triangle
• Invariant Integration Formulas for the n-Simplex by Combinatorial Methods
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