Verlet Scheme: Magnetic Fields and Speed Dependent Forces

This lecture covers the Verlet scheme and its variants, including the Euler-Cromer method, the Boris-Buneman semi-implicit scheme, and extensions for forces dependent on speed. It discusses the movement of particles in magnetic fields, emphasizing the Lorentz force and the perpendicular and parallel components of velocity. The lecture also explores numerical simulations and exercises related to linear and nonlinear physics, resonant and parametric excitations, chaos theory, strange attractors, and applications to oscillatory systems. Additionally, it delves into experiences with pendulums, including magnetic and vertical excitations, as well as the effects of friction and oscillating electric fields.