Cubature formulas in numerical analysis and Euclidean tight designs

DOI10.1016/j.ejc.2009.03.035zbMath1227.05107OpenAlexW2059903283MaRDI QIDQ966154

Masanori Sawa, Etsuko Bannai, Eiichi Bannai, Masatake Hirao

Publication date: 27 April 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.03.035

zbMATH Keywords

Euclidean t-designsGaussian t-designssperical t-designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Numerical integration (65D30)

Related Items (11)

Design theory from the viewpoint of algebraic combinatorics ⋮ Some remarks on cubature formulas with linear operators ⋮ A new Euclidean tight 6-design ⋮ Some remarks on Euclidean tight designs ⋮ Inside s-inner product sets and Euclidean designs ⋮ Euclidean designs obtained from spherical embedding of coherent configurations ⋮ Tight 9-designs on two concentric spheres ⋮ On the existence of minimum cubature formulas for Gaussian measure on \(\mathbb R^{2}\) of degree \(t\) supported by \([\frac{t}{4}+1\) circles] ⋮ A survey on tight Euclidean \(t\)-designs and tight relative \(t\)-designs in certain association schemes ⋮ On almost tight Euclidean designs for rotationally symmetric integrals ⋮ A survey on spherical designs and algebraic combinatorics on spheres

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