# Difference between revisions of "Beeman's algorithm"

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==See also== | ==See also== | ||

*[[Velocity Verlet algorithm]] | *[[Velocity Verlet algorithm]] | ||

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+ | *[http://en.wikipedia.org/wiki/Beeman%27s_algorithm Beeman's algorithm entry on wikipedia] | ||

[[category: Molecular dynamics]] | [[category: Molecular dynamics]] |

## Revision as of 15:35, 17 April 2010

**Beeman's algorithm** is is a method for numerically integrating ordinary differential equations, generally position and velocity, which is closely related to Verlet integration.

where *x* is the position, *v* is the velocity, *a* is the acceleration, *t* is time, and *\Delta t* is the time-step.

A predictor-corrector variant is useful when the forces are velocity-dependent:

The velocities at time are then calculated from the positions.

The accelerations at time are then calculated from the positions and predicted velocities.