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A Simple Formulation of the Fast Multipole Method: Pseudo-Particle Multipole Method

Atsushi Kawai·Junichiro Makino
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Abstract

We present the pseudo-particle multipole method (P2M2), a new method to handle multipole expansion in fast multipole method and treecode. This method uses a small number of pseudo-particles to express multipole expansion. With this method, the implementation of FMM and treecode with high-order multipole terms is greatly simplified. We applied P2M2 to treecode and combined it with special-purpose computer GRAPE. Extensive tests on the accuracy and calculation cost demonstrate that the new method is quite attractive.

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Atsushi Kawai, Junichiro Makino. 1998-12-23. A Simple Formulation of the Fast Multipole Method: Pseudo-Particle Multipole Method. https://arxiv.org/abs/astro-ph/9812431

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