## FANDOM

32.684 Seiten

 Typus Verschleierung Bearbeiter Klgn Gesichtet
Untersuchte Arbeit:
Seite: 36, Zeilen: 1-6
Quelle: Accelrys Inc. - Forcefield-Based Simulations 1998
Seite(n): 195, Zeilen: 15ff
Verlet Leap-Frog algorithm requires r(t), v(tt/2), and a(t), which are (respectively) the position, velocity, and acceleration at times t, tt/2, and t, and compute:

$v \left ( t + \frac{\Delta t}{2} \right ) = v \left ( t - \frac{\Delta t}{2} \right ) + \Delta t \, \mathrm{a} (t)$ (2.3)

$\mathrm{r} (t + \Delta t) = \mathrm{r}(t) + \Delta t v \left ( t + \frac{\Delta t}{2} \right )$ (2.4)

$\mathrm{a} (t + \Delta t) = \frac{\mathrm{f}(t+\Delta t)}{m}$ (2.5)

where f(t + Δt) is evaluated from -dV/dr at r(t + Δt).

The leapfrog algorithm

The Verlet leapfrog algorithm is as follows:

Given r(t), v(tt/2), and a(t), which are (respectively) the position, velocity, and acceleration at times t, tt/2, and t, compute:

where f(t + Δt) is evaluated from -dV/dr at r(t + Δt).

 Anmerkungen No source is given. Sichter (Klgn), WiseWoman