33 citations · 183 across the 19 of their papers we have counts for
3 papers · 2 filters
Reversible Stratonovich perturbations for accelerating convergence to equilibrium of Langevin dynamics
Guillaume Louis, Grigorios A. Pavliotis, Gilles Vilmart
In this paper, we study the problem of sampling from a probability distribution using Langevin-type dynamics. We consider overdamped Langevin dynamics perturbed by adding a Straton…
Explicit stabilized implementation of singly diagonally implicit Runge-Kutta methods
Ibrahim Almuslimani, Gilles Vilmart, Konstantinos Zygalakis
Implicit methods are a natural approach for the integration of stiff differential equations, to avoid time-step restrictions faced by standard explicit integrators. Explicit stabil…
Arbitrary high order splitting methods for linear Schr{ö}dinger equations with non-trivial compatibility conditions
Joackim Bernier, Ramona Häberli, Gilles Vilmart
Splitting methods are a natural choice for the numerical time integration of partial differential equations, and arbitrary high order splitting schemes exist for Schr{ö}dinger equa…