|
This article is cited in 2 scientific papers (total in 2 papers)
Computational mathematics
Cubature formulas on the sphere that are invariant under the transformations of the dihedral group of rotations $D_4$
A. S. Popov Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, Akad. Lavrent'eva ave., Novosibirsk, 630090, Russia
Abstract:
An algorithm for finding the best cubature formulas (in a sense) on the sphere that are invariant under the transformations of the dihedral group of rotations $D_4$ is described. This algorithm is applied for finding 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 27, 2020, published July 17, 2020
Citation:
A. S. Popov, “Cubature formulas on the sphere that are invariant under the transformations of the dihedral group of rotations $D_4$”, Sib. Èlektron. Mat. Izv., 17 (2020), 964–970
Linking options:
https://www.mathnet.ru/eng/semr1265 https://www.mathnet.ru/eng/semr/v17/p964
|
Statistics & downloads: |
Abstract page: | 152 | Full-text PDF : | 30 | References: | 10 |
|