Variational Integrators for Stochastic Hamiltonian Systems on Lie Groups

Explore the concept of variational integrators for stochastic Hamiltonian systems on Lie groups in this 27-minute conference talk from GSI. Delve into the mathematical foundations and applications of these advanced numerical methods, which are crucial for simulating complex dynamical systems in physics, engineering, and applied mathematics. Gain insights into how these integrators preserve important geometric structures and statistical properties of stochastic Hamiltonian systems defined on Lie groups, enhancing the accuracy and stability of numerical simulations in fields such as robotics, spacecraft dynamics, and molecular dynamics.