Ermilov, A. N.; Kabanovich, V. I.; Kurbatov, A. M. Analytic representation of Green’s function for a finite-difference Laplace equation. (English. Russian original) Zbl 0703.39004 U.S.S.R. Comput. Math. Math. Phys. 28, No. 4, 197-198 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 8, 1258-1260 (1988). Summary: A representation for Green’s function of a finite-difference Laplace equation on a two-dimensional lattice is obtained in the form of a series of rational functions of the coordinates of the mesh nodes. MSC: 39A70 Difference operators 65N06 Finite difference methods for boundary value problems involving PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation Keywords:Green’s function; finite-difference Laplace equation; two-dimensional lattice; series of rational functions PDF BibTeX XML Cite \textit{A. N. Ermilov} et al., U.S.S.R. Comput. Math. Math. Phys. 28, No. 4, 197--198 (1988; Zbl 0703.39004); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 8, 1258--1260 (1988) Full Text: DOI