Geodesic
New cubature formulae invariant under the octahedral group of rotations for a~sphere
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 3, pp. 281-284

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In this paper, new cubature formulae of Gaussian type invariant under the octahedral group of rotations for a sphere are constructed. The parameters of the cubature formulae of the 12th, 13th, 14th, 16th, 18th, 20th, 21st, 22nd, 24th, and 25th orders of accuracy are given to 16 significant digits. 
@article{SJVM_2001_4_3_a5,
     author = {A. S. Popov},
     title = {New cubature formulae invariant under the octahedral group of rotations for a~sphere},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {281--284},
     publisher = {mathdoc},
     volume = {4},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2001_4_3_a5/}
}
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A. S. Popov. New cubature formulae invariant under the octahedral group of rotations for a~sphere. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 3, pp. 281-284. http://geodesic.mathdoc.fr/item/SJVM_2001_4_3_a5/