Visualizing concepts in Computational Geometric Mechanics, Numerical Integration, and Geometric Control Theory.
Observe the critical difference between standard numerical methods and geometric integrators. Watch Explicit Euler quickly spiral out of control while Symplectic Euler preserves orbital energy and bounds error indefinitely.
Launch SimulationThe double pendulum has a non-separable Hamiltonian. Compare the energy drift of explicit methods against an Implicit Midpoint integrator utilizing a real-time nonlinear Newton-Raphson solver.
Launch SimulationVisualize nonlinear robust tracking control. Command a planar drone with your mouse or watch it track a complex Figure-8 trajectory.
Launch Simulation