Ewald's Method Revisited: Rapidly Convergent Series Representations of Certain Green's Functions

Vassilis G. Papanicolaou · Journal of Computational Analysis and Applications · 1999

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 ℝ d with quite general boundary conditions.

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