Verlet leap-frog algorithm

The Verlet leap-frog algorithm is a variant of the original Verlet scheme (Ref. 1)

$r(t+\delta t)=r(t)+\delta tv\left(t+{\frac {1}{2}}\delta t\right)$

$v\left(t+{\frac {1}{2}}\delta t\right)=v\left(t-{\frac {1}{2}}\delta t\right)+\delta ta(t)$

where r is the position, v is the velocity, a is the acceleration and t is the time.

See also

• Velocity Verlet algorithm

References

1. Loup Verlet "Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules", Physical Review 159 pp. 98 - 103 (1967)
2. R. W. Hockney, Methods in Computational Physics vol. 9, Academic Press, New York pp. 135–211 (1970)
3. Michel A. Cuendet and Wilfred F. van Gunsteren "On the calculation of velocity-dependent properties in molecular dynamics simulations using the leapfrog integration algorithm", Journal of Chemical Physics 127 184102 (2007)