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Lattice Green/Neumann function for the 2D Laplacian operator defined on square lattice on cylinders, tori and other geometries with some applications

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Published in 2023 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/accfd5

Abstract: The lattice Green function for the discrete planar Laplacian defined on regular square lattice wrapped around cylinders and tori are rigorously defined and obtained in an exact analytic form. The method of images well-known in… read more here.

Keywords: function; lattice green; cylinders tori; square lattice ... See more keywords