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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.
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)
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