Geodesic
Invariant Laplacian-involving cubature formulas
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 2, pp. 179-184

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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. 
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     author = {A. K. Ponomarenko},
     title = {Invariant {Laplacian-involving} cubature formulas},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {179--184},
     publisher = {mathdoc},
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     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a0/}
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A. K. Ponomarenko. Invariant Laplacian-involving cubature formulas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 2, pp. 179-184. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_2_a0/