357 citations · 1.7k across the 74 of their papers we have counts for
7 papers · 1 filter
Macroscopic limit of a one-dimensional model for aging fluids
David Benoit, Claude Le Bris, Tony Lelièvre
We study a one-dimensional equation arising in the multiscale modeling of some non-Newtonian fluids. At a given shear rate, the equation provides the instantaneous mesoscopic respo…
Free energy calculations from adaptive molecular dynamics simulations with adiabatic reweighting
Lingling Cao, Gabriel Stoltz, Tony Lelièvre +2
We propose an adiabatic reweighting algorithm for computing the free energy along an external parameter from adaptive molecular dynamics simulations. The adaptive bias is estimated…
A non linear approximation method for solving high dimensional partial differential equations: Application in Finance
José Arturo Infante Acevedo, Tony Lelievre
We study an algorithm which has been proposed by Chinesta et al. to solve high-dimensional partial differential equations. The idea is to represent the solution as a sum of tensor…
Low temperature asymptotics for Quasi-Stationary Distributions in a bounded domain
Tony Lelièvre, Francis Nier
We analyze the low temperature asymptotics of the quasi-stationary distribution associated with the overdamped Langevin dynamics (a.k.a. the Einstein-Smoluchowski diffusion equatio…
A nonintrusive method to approximate linear systems with nonlinear parameter dependence
Fabien Casenave, Alexandre Ern, Tony Lelièvre +1
We consider a family of linear systems with system matrix depending on a parameter and for simplicity parameter-independent right-hand side . These linear sys…
Mathematical Analysis of Temperature Accelerated Dynamics
David Aristoff, Tony Lelièvre
We give a mathematical framework for temperature accelerated dynamics (TAD), an algorithm proposed by M.R. Sørensen and A.F. Voter to efficiently generate metastable stochastic dyn…