Comments on PPPM, FMM, and the Ewald Method for Large Periodic Coulombic Systems

Physics – Condensed Matter

Scientific paper

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31 pages + 3 figures

Scientific paper

10.1016/0010-4655(96)00043-4

The three most common methods, Ewald, fast multipole (FMM) and the particle-particle particle-mesh (PPPM), used to compute the interactions in many body Coulombic systems are compared for single and multi-processor machines. The Ewald method is recommended for systems of a few hundred particles per processor or less. For larger systems the PPPM method is suggested. The FMM is slower and more difficult to code efficiently.

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