Geodesic
Cubature formulas on a sphere invariant under the dihedral group D2h
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 252-259

Voir la notice de l'article provenant de la source Math-Net.Ru

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, dihedral group of rotations.
Mots-clés : invariant cubature formulas, invariant polynomials 
@article{SEMR_2016_13_a93,
     author = {A. S. Popov},
     title = {Cubature formulas on a sphere invariant under the dihedral group {D2h}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {252--259},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a93/}
}
TY  - JOUR
AU  - A. S. Popov
TI  - Cubature formulas on a sphere invariant under the dihedral group D2h
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2016
SP  - 252
EP  - 259
VL  - 13
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2016_13_a93/
LA  - ru
ID  - SEMR_2016_13_a93
ER  - 
%0 Journal Article
%A A. S. Popov
%T Cubature formulas on a sphere invariant under the dihedral group D2h
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2016
%P 252-259
%V 13
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2016_13_a93/
%G ru
%F SEMR_2016_13_a93
A. S. Popov. Cubature formulas on a sphere invariant under the dihedral group D2h. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 252-259. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a93/