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A fast algorithm for particle simulations. (English) Zbl 0898.70002
Summary: An algorithm is presented for the rapid evaluation of the potential and force fields in systems involving large numbers of particles whose interactions are Coulombic or gravitational in nature. For a system of $$N$$ particles, an amount of work of the order $$O(N^2)$$ has traditionally been required to evaluate all pairwise interactions, unless some approximation or truncation method is used. The algorithm of the present paper requires an amount of work proportional to $$N$$ to evaluate all interactions to within roundoff error, making it considerably more practical for large-scale problems encountered in plasma physics, fluid dynamics, molecular dynamics, and celestial mechanics.

##### MSC:
 70-08 Computational methods for problems pertaining to mechanics of particles and systems 70F99 Dynamics of a system of particles, including celestial mechanics
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##### References:
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