A Cubature Formula for Periodic Functions / V. N. Chubarikov and M. L. Sharapova. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 6. P. 59-62 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 255-257].

New many-dimensional cubature formulas are obtained for periodic functions with the use of the Chinese remainder theorem. This allows us to take into account the "equality" of all variables and the "uniformness" of distribution of nodes in numerical integration formulas.

Key words: cubature formulas, Chinese remainder theorem, Fourier series.

№ 6/2017