Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How to mesh up Ewald sums (II): An accurate error estimate for the P3M
  algorithm   We construct an accurate estimate for the root mean square force error of the
particle-particle-particle-mesh (P3M) algorithm by extending a single particle
pair error measure which has been given by Hockney and Eastwood. We also derive
an easy-to-use analytic approximation to the error formula. This allows a
straightforward and precise determination of the optimal splitting parameter
(as a function of system specifications and P3M parameters) and hence knowledge
of the force accuracy prior to the actual simulation. The high quality of the
estimate is demonstrated in several examples.

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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th