On the number of nodes in \(n\)-dimensional cubature formulae of degree 5 for integrals over the ball

DOI10.1016/j.cam.2003.12.024zbMath1107.65025OpenAlexW2088807866MaRDI QIDQ1877175

Yanyan Li

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.12.024

zbMATH Keywords

cubaturespherical designsminimal formulas

Mathematics Subject Classification ID

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

Related Items (2)

Minimal cubature formulas of degree 3 for a torus in ℝ3 ⋮ Geometric designs and rotatable designs. I

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The regular two-graph on 276 vertices
• Spherical codes and designs
• Tight spherical designs. I
• Multivariate Gaussian cubature formulae
• Lower bound for the number of nodes of cubature formulae on the unit ball
• An encyclopaedia of cubature formulas.
• Some constructions of spherical 5-designs
• Constructing cubature formulae by the method of reproducing kernel
• Some fifth degree integration formulas for symmetric regions. II
• Equiangular lines
• Zur mechanischen Kubatur
• Tight Spherical Disigns, II
• Sums of even powers of real linear forms
• The nonexistence of certain tight spherical designs
• Cubature formulae and orthogonal polynomials

This page was built for publication: On the number of nodes in \(n\)-dimensional cubature formulae of degree 5 for integrals over the ball