A Variational Symplectic Scheme Based on Simpson's Quadrature

Explore a variational symplectic scheme derived from Simpson's quadrature in this 17-minute conference talk presented at GSI. Delve into the mathematical foundations and applications of this numerical integration method, which combines variational principles with symplectic geometry to achieve high accuracy and stability in simulating dynamical systems. Gain insights into how this scheme preserves important physical properties and offers advantages over traditional numerical methods in fields such as celestial mechanics, molecular dynamics, and quantum mechanics.