Beeman's algorithm

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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.

See also

References