We construct an accurate estimate for the root mean square force error of the particle–particle–particle mesh 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 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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© 1998 American Institute of Physics.
1998
American Institute of Physics
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