Kabanovich, V. I.; Kurbatov, A. M. The evaluation of one family of triple integrals. (English. Russian original) Zbl 0803.65024 Comput. Math. Math. Phys. 32, No. 10, 1487-1489 (1992); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 10, 1658-1660 (1992). The paper is devoted to the computation of the lattice Green function \(G(l,m,n)\) (the random-walk potential on a body-centered cubic lattice). The authors give new recurrence relations for \(G(l,m,n)\) and present an algorithm for finding the value of \(G(l,m,n)\) at any fixed point in terms of \(G(0,0,0)\). A new simple algorithm for direct calculation of \(G(0,0,0)\) is also constructed. Reviewer: B.D.Bojanov (Sofia) MSC: 65D32 Numerical quadrature and cubature formulas 41A55 Approximate quadratures 41A63 Multidimensional problems (should also be assigned at least one other classification number from Section 41-XX) Keywords:triple integrals; lattice Green function; random-walk potential; body- centered cubic lattice; recurrence relations; algorithm PDF BibTeX XML Cite \textit{V. I. Kabanovich} and \textit{A. M. Kurbatov}, Comput. Math. Math. Phys. 32, No. 10, 1 (1992; Zbl 0803.65024); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 10, 1658--1660 (1992)