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Lower bound for the number of nodes of cubature formulae on the unit ball

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Publication:1401999
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DOI10.1016/S0885-064X(03)00007-4zbMath1030.41019OpenAlexW2069270466MaRDI QIDQ1401999

Yuan Xu

Publication date: 19 August 2003

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0885-064x(03)00007-4


Mathematics Subject Classification ID

Approximate quadratures (41A55)


Related Items

New computationally efficient quadrature formulas for triangular prism elements, On the number of nodes in \(n\)-dimensional cubature formulae of degree 5 for integrals over the ball, Unnamed Item, Cubature formulas in numerical analysis and Euclidean tight designs



Cites Work

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  • Kubaturformeln mit minimaler Knotenzahl
  • Spherical codes and designs
  • A note on optimal unimodular lattices
  • A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds
  • Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ^{𝕕}
  • Lower bounds for spherical designs
  • Orthogonal Polynomials and Cubature Formulae on Spheres and on Balls
  • On cubature formulae of degree 4k+1 attaining Möller's lower bound for integrals with circular symmetry
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