The previously developed particle mesh Ewald method is reformulated in terms of efficient B‐spline interpolation of the structure factors. This reformulation allows a natural extension of the method to potentials of the form 1/rp with p≥1. Furthermore, efficient calculation of the virial tensor follows. Use of B‐splines in place of Lagrange interpolation leads to analytic gradients as well as a significant improvement in the accuracy. We demonstrate that arbitrary accuracy can be achieved, independent of system size N, at a cost that scales as N log(N). For biomolecular systems with many thousands of atoms this method permits the use of Ewald summation at a computational cost comparable to that of a simple truncation method of 10 Å or less.
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Research Article| November 15 1995
A smooth particle mesh Ewald method
Special Collection: JCP 90 for 90 Anniversary Collection
Max L. Berkowitz;
Ulrich Essmann, Lalith Perera, Max L. Berkowitz, Tom Darden, Hsing Lee, Lee G. Pedersen; A smooth particle mesh Ewald method. J. Chem. Phys. 15 November 1995; 103 (19): 8577–8593. https://doi.org/10.1063/1.470117
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