- 1.
*Predictor.*From the positions and their time derivatives up to a certain order*q*, all known at time*t*, one ``predicts'' the same quantities at time by means of a Taylor expansion. Among these quantities are, of course, accelerations .- 2.
*Force evaluation.*The force is computed taking the gradient of the potential at the predicted positions. The resulting acceleration will be in general different from the ``predicted acceleration''. The difference between the two constitutes an ``error signal''.- 3.
*Corrector.*This error signal is used to ``correct'' positions and their derivatives. All the corrections are proportional to the error signal, the coefficient of proportionality being a ``magic number'' determined to maximize the stability of the algorithm.

For more details the reader is referred to [3], §3.2, or [6], §4.4. A detailed comparison between the Verlet and the Gear scheme can be found in [19].