Leapfrog Integration - Wikipedia - velocity Verlet  ## Metadata - Author: **velocity Verlet** - Full Title: Leapfrog Integration - Wikipedia - Category: #articles - URL: https://en.wikipedia.org/wiki/Leapfrog_integration#:~:text=There%20are%20two%20primary%20strengths,at%20the%20same%20starting%20position. ## Highlights - In numerical analysis, leapfrog integration is a method for numerically integrating differential equations of the form {\displaystyle {\ddot {x}}={\frac {d^{2}x}{dt^{2}}}=A(x),} or equivalently of the form {\displaystyle {\dot {v}}={\frac {dv}{dt}}=A(x),\;{\dot {x}}={\frac {dx}{dt}}=v,} particularly in the case of a dynamical system of classical mechanics.