Verlet leap-frog algorithm
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The Verlet leap-frog algorithm
\[r(t + \delta t) = r (t) + \delta t v\left(t+ \frac{1}{2} \delta t\right)\]
\[v \left(t+ \frac{1}{2} \delta t\right) = v\left(t - \frac{1}{2} \delta t\right) + \delta t a (t)\]
where r is the position, v is the velocity, a is the acceleration and t is the time. \(\delta t\) is known as the time step.
[edit] See also
[edit] References
- ↑ R. W. Hockney "The potential calculation and some applications", Methods in Computational Physics vol. 9 pp. 135-211 Academic Press, New York (1970)
- ↑ Loup Verlet "Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules", Physical Review 159 pp. 98-103 (1967)
Related reading
