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Original Articles

A Non-Iterative Matrix Method for Constraint Molecular Dynamics Simulations

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Pages 395-405 | Received 01 Feb 1994, Accepted 01 May 1994, Published online: 23 Sep 2006
 

Abstract

A non-iterative version of the matrix method which can be easily vectorised and parallelized is presented. The original matrix method, which is conceptually identical to the familiar SHAKE algorithm, is shown to be non-iterative when incorporated with the Verlet and leap-frog integration schemes with the same constraint error order as the (local) error order of the accompanying integration schemes. The method is checked by test simulations with n-butane and the liquid crystal moleculae 5CB (4-n-pentyl-4′-cyanobiphenyl) in which its effectiveness is demonstrated.

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