The discussion centers on finding C code for the Verlet leapfrog method, a numerical integration technique used to advance a system of particles based on their acceleration, velocities, and displacements. Participants clarify that the Verlet leapfrog method is also known as the leapfrog method, which may yield better search results. The method involves updating velocities and positions at staggered time intervals, with a typical sequence of updates every half timestep. A useful resource is provided, linking to pseudocode and additional information. Higher-order versions of the leapfrog method, such as the Yoshida integrator, are mentioned as alternatives. Additionally, there is a reference to the staggered leapfrog method found in "Numerical Recipes in C," suggesting that users could look for user-supplied Matlab codes to translate into C if needed.