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An Efficient Fast‐Multipole Algorithm Based On An Expansion In The Solid Harmonics, H.Y. Wang, Richard Alan Lesar

Richard Alan Lesar

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.