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This article is cited in 4 scientific papers (total in 4 papers)
Computational mathematics
Cubature formulas on a sphere invariant under the dihedral group of rotations with inversion $\mathrm{D}_{5d}$
A. S. Popov Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akad. Lavrent'eva, 6, 630090, Novosibirsk, Russia
Abstract:
An algorithm of searching for the best (in a sense) cubature formulas on a sphere that are invariant under the transformations of dihedral group of rotations with inversion D5d is described. This algorithm is applied to find the parameters of all the best cubature formulas of this symmetry type up to the 35th order of accuracy.
Keywords:
numerical integration, invariant cubature formulas, invariant polynomials, dihedral group of rotations.
Received February 2, 2018, published April 16, 2018
Citation:
A. S. Popov, “Cubature formulas on a sphere invariant under the dihedral group of rotations with inversion $\mathrm{D}_{5d}$”, Sib. Èlektron. Mat. Izv., 15 (2018), 389–396
Linking options:
https://www.mathnet.ru/eng/semr926 https://www.mathnet.ru/eng/semr/v15/p389
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Abstract page: | 214 | Full-text PDF : | 32 | References: | 22 |
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