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S. W. de Leeuw, J. W. Perram and E. R. Smith, “Simulation of Electrostatic Systems in Periodic Boundary Conditions. III. Further Theory and Applications,” Proceedings of the Royal Society London, Series A, Vol. 388, No. 1794, 1983, pp. 177-193. http://dx.doi.org/10.1098/rspa.1983.0077

has been cited by the following article:

• TITLE: Non-Uniform FFT and Its Applications in Particle Simulations

  AUTHORS: Yong-Lei Wang, Fredrik Hedman, Massimiliano Porcu, Francesca Mocci, Aatto Laaksonen

  KEYWORDS: Ewald Summation Method; Non-Uniform Fast Fourier Transform; Dissipative Particle Dynamics

  JOURNAL NAME: Applied Mathematics, Vol.5 No.3, February 12, 2014

  ABSTRACT: Ewald summation method, based on Non-Uniform FFTs (ENUF) to compute the electrostatic interactions and forces, is implemented in two different particle simulation schemes to model molecular and soft matter, in classical all-atom Molecular Dynamics and in Dissipative Particle Dynamics for coarse-grained particles. The method combines the traditional Ewald method with a non-uniform fast Fourier transform library (NFFT), making it highly efficient. It scales linearly with the number of particles as , while being both robust and accurate. It conserves both energy and the momentum to float point accuracy. As demonstrated here, it is straight- forward to implement the method in existing computer simulation codes to treat the electrostatic interactions either between point-charges or charge distributions. It should be an attractive alternative to mesh-based Ewald methods.