Optimal spherical designs and numerical integration on the sphere

DOI10.1016/0021-9991(83)90095-5zbMath0516.65009OpenAlexW2072166836MaRDI QIDQ1052795

Wolfram Neutsch

Publication date: 1983

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90095-5

zbMATH Keywords

spherical harmonicsicosahedral groupintegrals of harmonicsoptimal spherical designs

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Spherical harmonics (33C55)

Related Items

The construction of three-dimensional invariant cubature formulae, Construction of designs on the 2-sphere, Numerical integration on the sphere and its effect on the material symmetry of constitutive equations-A comparative study, Mathematical aspects of molecular replacement. II. Geometry of motion spaces, Rational designs, Lattice integration on the 7-sphere, Efficient integration on the hypersphere

Cites Work

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• Tight Spherical Disigns, II