4 papers · 1 filter
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…
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…
Simpson's quadrature for a nonlinear variational symplectic scheme
François Dubois, Juan Antonio Rojas-Quintero
We propose a variational symplectic numerical method for the time integration of dynamical systems issued from the least action principle. We assume a quadratic internal interpolat…
A variational symplectic scheme based on Simpson's quadrature
François Dubois, Juan Antonio Rojas-Quintero
We propose a variational symplectic numerical method for the time integration of dynamical systems issued from the least action principle. We assume a quadratic internal interpolat…