3 papers
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…
math.NA2024
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…
math.NA2022
Analytic solutions and numerical method for a coupled thermo-neutronic problem
Olivier Lafitte, François Dubois
We consider in this contribution a simplified idealized one-dimensional model in a nuclear core reactor coupling the diffusion equation on the neutron flux with the enthalpy equati…