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P. P. Ewald. Die berechnung optischer und elektroscher und elektrostatischer gitterpotentiale. Ann. Physik, 64:253, 1921.

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A Multipole-Based Algorithm for Efficient Calculation of.. - Lambert, Board, Jr. (1994)   (4 citations)  (Correct)

....need only be simulated, and long range forces from a suitably large number of replicas of the unit cell simulate the bulk phase behavior of the system. The Ewald sum technique is the most widely used method for computing electrostatic potential due to an infinite lattice of repeated unit cells [7]. Various algorithms have been developed to compute the Ewald sum. The first to do better than O(n 2 ) where n is the number of particles in the unit cell, was the O(n 3 2 ) algorithm of [13] Since then, improved O(n log n) algorithms have been developed [3, 17] Much work has been done on ....

P. P. Ewald. Die berechnung optischer und elektroscher und elektrostatischer gitterpotentiale. Ann. Physik, 64:253, 1921.


Multipole-Based Algorithms for Efficient Calculation of Forces.. - Lambert (1994)   (4 citations)  (Correct)

....need only be simulated, and long range forces from a suitably large number of replicas of the unit cell simulate the bulk phase behavior of the system. The Ewald Sum technique is the most widely used method for computing electrostatic potential due to an infinite lattice of repeated unit cells [9]. Various algorithms have been developed to compute the Ewald sum. The fastest exact algorithm runs in O(n 3 2 ) time [14] where n is the number of particles in the unit cell. The fastest algorithm to date runs in O(n log n) time [7] but has a cutoff in the real space sum which contributes ....

P. P. Ewald. Die berechnung optischer und elektroscher und elektrostatischer gitterpotentiale. Ann. Physik, 64:253, 1921.


A Multipole-Based Algorithm for Efficient Calculation.. - Lambert, Darden.. (1995)   (4 citations)  (Correct)

....need only be simulated, and long range forces from a suitably large number of replicas of the unit cell simulate the bulk phase behavior of the system. The Ewald sum technique is the most widely used method for computing electrostatic potential due to an infinite lattice of repeated unit cells [7]. Various algorithms have been developed to compute the Ewald sum. The first to do so in better than O(n 2 ) time, where n is the number of particles in the unit cell, was the O(n 3 2 ) algorithm of [15] Since then, improved O(n log n) algorithms have been developed [3, 13, 21] The Ewald ....

P. P. Ewald. Die berechnung optischer und elektroscher und elektrostatischer gitterpotentiale. Ann. Physik, 64:253, 1921.

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