Geodesic
Cubature formulas for a disk that are invariant under groups of transformations of regular polygons into themselves
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 7, pp. 1211-1218 
È. A. Shamsiev. Cubature formulas for a disk that are invariant under groups of transformations of regular polygons into themselves. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 7, pp. 1211-1218. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A method for constructing cubature formulas of different degrees of accuracy that are invariant under the groups of transformations of regular polygons into themselves is proposed. The cubature sum can contain powers of the Laplace operator applied to the integrand at the origin.

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