Geodesic
The cubayure formulae of L.\,A.~Lyusternik
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 25 (1970) no. 4, pp. 157-166

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In this paper a short survey is given of the work of L. A. Lyusternik on cubature formulae, which are many-dimensional generalizations of the standard quadrature formulae of Gauss for an interval. A general method is developed for constructing such formulae; a number of specific formulae are given and certain applications are made to the solution of partial differential equations. 
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     title = {The cubayure formulae of {L.\,A.~Lyusternik}},
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A. N. Ivanova. The cubayure formulae of L.\,A.~Lyusternik. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 25 (1970) no. 4, pp. 157-166. http://geodesic.mathdoc.fr/item/RM_1970_25_4_a6/