Abstract:
For integrals in n dimensions over a hypercube, two ninth-degree cubature formulas that are invariant with respect to a hyperoctahedral group are constructed. The cubature sums of these formulas contain the Laplacian. Examples are given in which approximate values of the formulas’ parameters are presented in the form of tables.
Key words:$n$-dimensional invariant cubature formula, group $O_n(G)$, hyperoctahedron, hypercube, Laplacian, basis invariant forms of $O_n(G)$.
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