An iterative method for the solution of Laplace-like equations in high and very high space dimensions
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DOI: 10.1007/s00211-024-01401-2
Abstract: This paper deals with the equation $$-\varDelta u+\mu u=f$$ - Δ u + μ u = f on high-dimensional spaces $${\mathbb {R}}^m$$ R m , where the right-hand side $$f(x)=F(Tx)$$ f ( x ) =… read more here.
Keywords: space; laplace like; solution laplace; method solution ... See more keywords
Spheroidal harmonic expansions for the solution of Laplace's equation for a point source near a sphere.
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DOI: 10.1103/physreve.95.033307
Abstract: We propose a powerful approach to solve Laplace's equation for point sources near a spherical object. The central new idea is to use prolate spheroidal solid harmonics, which are separable solutions of Laplace's equation in… read more here.
Keywords: laplace equation; equation; equation point; solution laplace ... See more keywords