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An improved fast multipole algorithm for potential fields
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DOI：10.1137/S106482759630989X.png)
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Abstract
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A new version of the fast multipole method (FMM) for potential fields is presented. We introduce a new representation of potentials, in which most translation operators are diagonal. As a result, for double precision calculations in two dimensions we obtain an improvement of a factor of two to four in speed, compared to previously published algorithms; the improvement is expected to be much greater in three dimensions. The performance of the method is illustrated with several numerical examples.
Keywords:
N-body problem
fast algorithms
fast multipole method
potential theory
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