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Quadrature formulas of orders 41, 47, and 53 for the sphere. (English. Russian original) Zbl 0795.41026

Russ. Acad. Sci., Dokl., Math. 45, No. 3, 587-592 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 324, No. 3, 519-524 (1992).
There are given the coordinates and the weights of quadratures of orders 41, 47 and 53 that are invariant with respect to the octahedral group with inversion for the three-dimensional sphere.
Reviewer: J.Kofroň (Praha)

MSC:

41A55 Approximate quadratures
65D32 Numerical quadrature and cubature formulas
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