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This article is cited in 5 scientific papers (total in 5 papers)
Computational mathematics
Cubature formulas on a sphere invariant under the dihedral group D2h
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 D2h is described. This algorithm is applied to find parameters of all the best cubature formulas of this symmetry group up to the 35th order of accuracy.
Keywords:
numerical integration, invariant cubature formulas, invariant polynomials, dihedral group of rotations.
Received February 17, 2016, published March 25, 2016
Citation:
A. S. Popov, “Cubature formulas on a sphere invariant under the dihedral group D2h”, Sib. Èlektron. Mat. Izv., 13 (2016), 252–259
Linking options:
https://www.mathnet.ru/eng/semr668 https://www.mathnet.ru/eng/semr/v13/p252
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