Geodesic
Cubature formulas on a sphere invariant under the tetrahedral group with inversion
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 372-379

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The unified algorithm of searching for the best (in a sense) cubature formulas on a sphere that are invariant under the tetrahedral group of rotations with inversion is described. This algorithm is applied to find parameters of all the best cubature formulas of this symmetry group up to the 41st order of accuracy.
Keywords: numerical integration, tetrahedral group of rotations.
Mots-clés : invariant cubature formulas, invariant polynomials 
@article{SEMR_2014_11_a68,
     author = {A. S. Popov},
     title = {Cubature formulas on a sphere invariant under the tetrahedral group with inversion},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {372--379},
     publisher = {mathdoc},
     volume = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a68/}
}
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A. S. Popov. Cubature formulas on a sphere invariant under the tetrahedral group with inversion. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 372-379. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a68/