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Cubature formulae and polynomial ideals

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Publication:1970520
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DOI10.1006/aama.1999.0652zbMath0954.65020OpenAlexW2071792624MaRDI QIDQ1970520

Yuan Xu

Publication date: 21 March 2000

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1999.0652


zbMATH Keywords

cubature formulaepolynomial ideal


Mathematics Subject Classification ID

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


Related Items (4)

On the construction of general cubature formula by flat extensions ⋮ Computing the Hausdorff Boundary Measure of Semialgebraic Sets ⋮ Can a minimal degree 6 cubature rule for the disk have all points inside? ⋮ Commuting extensions and cubature formulae



Cites Work

  • Kubaturformeln mit minimaler Knotenzahl
  • Zur mechanischen Kubatur
  • Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
  • Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ^{𝕕}
  • Block Jacobi Matrices and Zeros of Multivariate Orthogonal Polynomials
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