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An efficient fast-multipole algorithm based on an expansion in the solid harmonics

The Journal of Chemical PhysicsPublished 15 March 1996
H. Y. Wang, R. LeSar
Citations56
SJR quartileQ1
SJR score0.82
SNIP0.91

Abstract

We present an efficient variant of the fast-multipole method for calculating long-range interactions in three-dimensional Coulombic systems. Using a multipole expansion based on the solid harmonics instead of the more common spherical harmonics leads to a greater increase in computational efficiency than a recently-reported fast-Fourier transform method, with none of the overhead associated with that approach.

Keywords

EngineeringPhysics and Astronomy