Method for analytical jacobian computation in molecular...

G - Physics – 06 – F

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G06F 19/00 (2006.01) G06F 17/50 (2006.01)

Patent

CA 2427649

A method for obtaining analytic Jacobians used in implicit integration methods in the computations for the dynamics of a physical system. With this method, the Jacobian with at least twice the number of digits of accuracy as a numerical Jacobian can be computed. This also results in the implicit integration method being more efficient because a smaller number of iterations are required to solve the nonlinear stage equations of the equations of motion, as well as the ability to take larger timesteps. This speedup in computation is very useful in molecular modeling.

L'invention concerne une méthode pour obtenir des déterminants jacobiens analytiques utilisés dans les méthodes d'intégration implicite pour les calculs de la dynamique d'un système physique. Selon l'invention, on peut calculer le déterminant jacobien ayant au moins le double du nombre de chiffres d'exactitude qu'un déterminant jacobien numérique. Ainsi, la méthode d'intégration implicite est plus efficace, car un plus petit nombre d'itérations est nécessaire pour résoudre les équations étagées non linéaires des équations de mouvement, les étapes temporelles pouvant être plus grandes. Cette accélération du calcul s'avère très utile dans la modélisation moléculaire.

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