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Ewald's Method Revisited: Rapidly Convergent Series Representations of Certain Green's Functions
Authors:Vassilis G. Papanicolaou
Affiliation:(1) Department of Mathematics and Statistics, Wichita State University, Wichita, Kansas, 67260-0033
Abstract:We propose a justification of Ewald's method of obtaining rapidly convergent series for the Green's function of the 3-dimensional Helmholtz equation. Our point of view enables us to extend the method to Green's functions for the Helmholtz equation in certain domains of Ropfd with quite general boundary conditions.
Keywords:Helmholtz equation  Green's function  Ewald's method
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