Construction of cubature formulae with preassigned nodes§

DOI10.1080/00036810701272254zbMath1141.65017OpenAlexW2030589998WikidataQ58146367 ScholiaQ58146367MaRDI QIDQ5457919

Zhao-Liang Meng, Feng-Shan Liu, Zhong-xuan Luo

Publication date: 10 April 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701272254

zbMATH Keywords

cubature formulapolynomial exactnesspreassigned nodes

Mathematics Subject Classification ID

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

Cites Work

• Cubature formulas over the \(n\)-sphere
• Optimal addition of knots to cubature formulae for planar regions
• An embedded pair of cubature formulae of degree 5 and 7 for the triangle
• Numerical cubature formulae with preassigned knots
• On the construction of multi-dimensional embedded cubature formulae
• Polynomial interpolation in several variables, cubature formulae, and ideals
• Constructing cubature formulae by the method of reproducing kernel
• The Construction of Algebraic Cubature Formulae by the Distribution of Nodes Along Selected Lines

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