\begin{thebibliography}{10} \bibitem{ChCG97} Z.~M. Chen, T.~Cagin, and W.~A. Goddard. \newblock Fast {E}wald sums for general van der {W}aals potentials. \newblock {\em J. Comp. Chem.}, 18:1365--1370, 1997. \bibitem{DaYP93} T.~Darden, D.~York, and L.~Pedersen. \newblock Particle mesh {E}wald: An {N} log({N}) method for {E}wald sums in large systems. \newblock {\em J.\ Chem.\ Phys.}, 98(12):10089--10092, 1993. \bibitem{LPSm80} S.~W. de~Leeuw, J.~W. Perram, and E.~R. Smith. \newblock Simulation of electrostatic systems in periodic boundary conditions. \newblock {\em Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences}, 373(1752):27--56, 1980. \bibitem{DeHo98} M.~Deserno and C.~Holm. \newblock How to mesh up {E}wald sums. {I}. {A} theoretical and numerical comparison of various particle mesh routines. \newblock {\em J.\ Chem.\ Phys.}, 109(18):7678--7693, 1998. \bibitem{EsPB95} U.~Essmann, L.~Perera, and M.~L. Berkowitz. \newblock A smooth particle mesh {E}wald method. \newblock {\em J.\ Chem.\ Phys.}, 103(19):8577--8593, 1995. \bibitem{Ewal21} P.~Ewald. \newblock Die {B}erechnung optischer und elektrostatischer {G}itterpotentiale. \newblock {\em Ann. Phys.}, 64:253--287, 1921. \bibitem{Finc94} D.~Fincham. \newblock Optimisation of the {E}wald sum for large systems. \newblock {\em Mol. Sim.}, 13:1--9, 1994. \bibitem{Gao98} G.~Gao. \newblock {\em Large Scale Molecular Simulations with Application to Polymers and Nano-scale Materials}. \newblock PhD thesis, Caltech, 1998. \bibitem{HoEa81} R.~W. Hockney and J.~W. Eastwood. \newblock {\em Computer Simulation Using Particles}. \newblock McGraw-Hill, New York, 1981. \bibitem{Kale99} L.~Kal{\'e}, R.~Skeel, M.~Bhandarkar, R.~Brunner, A.~Gursoy, N.~Krawetz, J.~Phillips, A.~Shinozaki, K.~Varadarajan, and K.~Schulten. \newblock {NAMD2: G}reater scalability for parallel molecular dynamics. \newblock {\em J.\ Comput.\ Phys.}, 151:283--312, 1999. \bibitem{KaGo89} N.~Karawasa and W.~A. Goddard. \newblock Acceleration of convergence for lattice sums. \newblock {\em J.\ Phys.\ Chem.}, 93:7320, 1989. \bibitem{KaMi01} M.~Kawata and M.~Mikami. \newblock Rapid calculation of two-dimensional {E}wald summation. \newblock {\em Chemical Physics Letters}, 340(1-2):157--164, 2001. \bibitem{KaNa01} M.~Kawata and U.~Nagashima. \newblock Particle mesh {E}wald method for three-dimensional systems with two-dimensional periodicity. \newblock {\em Chemical Physics Letters}, 340(1-2):165--172, 2001. \bibitem{KoPe92} J.~Kolafa and J.~W. Perram. \newblock Cutoff errors in the {E}wald summation formulae for point charge systems. \newblock {\em Molecular Simulation}, 9:351--368, 1992. \bibitem{LaHC01} D.~J. Langridge, J.~F. Hart, and S.~Crampin. \newblock Ewald summation technique for one-dimensional charge distributions. \newblock {\em Comput.\ Phys.\ Commun.}, 134(1):78--85, 2001. \bibitem{PePL88} J.~W. Perram, H.~G. Petersen, and S.~W. de~Leeuw. \newblock An algorithm for the simulation of condensed matter which grows as the $\frac{3}{2}$ power of the number of particles. \newblock {\em Mol. Phys.}, 65:875--893, 1988. \bibitem{Pete95} H.~G. Petersen. \newblock Accuracy and efficiency of the particle mesh {E}wald method. \newblock {\em J.\ Chem.\ Phys.}, 103(3668--3679), 1995. \bibitem{Refs00} K.~Refson. \newblock Moldy: {A} portable molecular dynamics simulation program for serial and parallel computers. \newblock {\em Comput.\ Phys.\ Commun.}, 126(3):309--328, 2000. \bibitem{WaHo01} Z.~Wang and C.~Holm. \newblock Estimate of the cutoff errors in the {E}wald summation for dipolar systems. \newblock {\em J.\ Chem.\ Phys.}, 115(14):6351--6359, 2001. \end{thebibliography}