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math.NA2025
Simpson variational integrator for nonlinear systems: a tutorial on the Lagrange top
Juan Antonio Rojas-Quintero, François Dubois, Frédéric Jourdan
This contribution presents an integration method based on the Simpson quadrature. The integrator is designed for finite-dimensional nonlinear mechanical systems that derive from va…
math.NA2025
A variational symplectic scheme based on Lobatto's quadrature
François Dubois, Juan Antonio Rojas-Quintero
We present a variational integrator based on the Lobatto quadrature for the time integration of dynamical systems issued from the least action principle. This numerical method uses…