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We construct an accurate estimate for the root mean square force error of theparticle-particle-particle-mesh (P3M) algorithm by extending a single particlepair error measure which has been given by Hockney and Eastwood. We also derivean easy-to-use analytic approximation to the error formula. This allows astraightforward and precise determination of the optimal splitting parameter(as a function of system specifications and P3M parameters) and hence knowledgeof the force accuracy prior to the actual simulation. The high quality of theestimate is demonstrated in several examples.Comment: 9 pages, 7 figures included, revtex styl

How to mesh up Ewald sums. II. An accurate error estimate for the particle–particle–particle-mesh algorithm