Retrieving "Velocity Verlet Algorithm" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Numerical Methods In Chemistry

   Linked via "Velocity Verlet algorithm"

   Time Integration Schemes
   Since the forces are updated at discrete time steps ($\Delta t$), the continuous time evolution must be discretized. The Velocity Verlet algorithm is the standard choice due to its time-reversibility and approximate energy conservation:
   $$ \mathbf{R}(t+\Delta t) = \mathbf{R}(t) + v(t)\Delta t + \frac{1}{2} a(t) (\Delta t)^2 $$
   $$ v(t+\Delta t) = v(t) + \frac{1}{2} [a(t+\Delta t) + a(t)] \Delta t $$