230 citations · 1.3k across the 68 of their papers we have counts for
6 papers · 1 filter
A perturbative approach to control variates in molecular dynamics
Julien Roussel, Gabriel Stoltz
We propose a general variance reduction strategy for diffusion processes. Our approach does not require the knowledge of the measure that is sampled, which may indeed be unknown as…
Error estimates on ergodic properties of discretized Feynman-Kac semigroups
Grégoire Ferré, Gabriel Stoltz
We consider the numerical analysis of the time discretization of Feynman-Kac semigroups associated with diffusion processes. These semigroups naturally appear in several fields, su…
Longtime convergence of the Temperature-Accelerated Molecular Dynamics Method
Gabriel Stoltz, Eric Vanden-Eijnden
The equations of the temperature-accelerated molecular dynamics (TAMD) method for the calculations of free energies and partition functions are analyzed. Specifically, the exponent…
Stable and accurate schemes for smoothed dissipative particle dynamics
Gérôme Faure, Gabriel Stoltz
Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic particle method which allows to select the level of resolution at which a fluid is simulated. The numerical integratio…
Spectral methods for Langevin dynamics and associated error estimates
Julien Roussel, Gabriel Stoltz
We prove the consistency of Galerkin methods to solve Poisson equations where the differential operator under consideration is the generator of the Langevin dynamics. We show in pa…
Convergence rates for nonequilibrium Langevin dynamics
Alessandra Iacobucci, Stefano Olla, Gabriel Stoltz
We study the exponential convergence to the stationary state for nonequilibrium Langevin dynamics, by a perturbative approach based on hypocoercive techniques developed for equilib…