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J. Chem. Phys. 122, 054101 (2005); http://dx.doi.org/10.1063/1.1839571 (13 pages)

Gaussian split Ewald: A fast Ewald mesh method for molecular simulation

Yibing Shan, John L. Klepeis, Michael P. Eastwood, Ron O. Dror, and David E. Shaw

D. E. Shaw Research and Development, New York, New York 10036

(Received 26 August 2004; accepted 2 November 2004; published online 13 January 2005)

Gaussian split Ewald (GSE) is a versatile Ewald mesh method that is fast and accurate when used with both real-space and k-space Poisson solvers. While real-space methods are known to be asymptotically superior to k-space methods in terms of both computational cost and parallelization efficiency, k-space methods such as smooth particle-mesh Ewald (SPME) have thus far remained dominant because they have been more efficient than existing real-space methods for simulations of typical systems in the size range of current practical interest. Real-space GSE, however, is approximately a factor of 2 faster than previously described real-space Ewald methods for the level of force accuracy typically required in biomolecular simulations, and is competitive with leading k-space methods even for systems of moderate size. Alternatively, GSE may be combined with a k-space Poisson solver, providing a conveniently tunable k-space method that performs comparably to SPME. The GSE method follows naturally from a uniform framework that we introduce to concisely describe the differences between existing Ewald mesh methods. © 2005 American Institute of Physics.

© 2005 American Institute of Physics

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KEYWORDS and PACS

PACS

  • 87.15.A-

    Theory, modeling, and computer simulation

  • 87.15.H-

    Dynamics of biomolecules

  • 87.14.E-

    Proteins

  • 36.20.-r

    Macromolecules and polymer molecules

  • 02.30.Jr

    Partial differential equations

  • 02.60.Lj

    Ordinary and partial differential equations; boundary value problems

  • 02.30.Nw

    Fourier analysis

  • 02.50.Ng

    Distribution theory and Monte Carlo studies

  • 02.70.Ns

    Molecular dynamics and particle methods

ARTICLE DATA

PUBLICATION DATA

ISSN

0021-9606 (print)  
1089-7690 (online)

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