J. P. Brunet, A. Edelman, and J. P. Mesirov. Hypercube alborithms for direct N--body solvers for different granularities. SIAM J. Sci. Stat. Comput., 14(5):1143--1158, September 1993.

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Fast Parallel Algorithms for Short-Range Molecular Dynamics - Plimpton (1995)   (50 citations)  (Correct)

.... methods which systolically cycle atom data around a ring or through a grid of processors have been used on MIMD [26, 49] and SIMD machines [16, 57] Other force decomposition methods that use the force matrix formalism we discuss in Sections 3 and 4 have been presented in [12] and [15]. Boyer and Pawley [12] decompose the force matrix by sub blocks, while the method of Brunet, et al. 15] partitions the matrix element by element. In both cases their methods are designed for long range force systems requiring all pairs calculations (no neighbor lists) on SIMD machines. Thus ....

.... been used on MIMD [26, 49] and SIMD machines [16, 57] Other force decomposition methods that use the force matrix formalism we discuss in Sections 3 and 4 have been presented in [12] and [15] Boyer and Pawley [12] decompose the force matrix by sub blocks, while the method of Brunet, et al. [15] partitions the matrix element by element. In both cases their methods are designed for long range force systems requiring all pairs calculations (no neighbor lists) on SIMD machines. Thus the scaling of these algorithms is different from the algorithm presented in Section 4 as is the way they ....

J. P. Brunet, A. Edelman, and J. P. Mesirov. Hypercube alborithms for direct N--body solvers for different granularities. SIAM J. Sci. Stat. Comput., 14(5):1143--1158, September 1993.

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