357 citations · 1.7k across the 74 of their papers we have counts for
5 papers · 1 filter
Self-Healing Umbrella Sampling: Convergence and efficiency
G. Fort, B. Jourdain, T. Lelievre +1
The Self-Healing Umbrella Sampling (SHUS) algorithm is an adaptive biasing algorithm which has been proposed to efficiently sample a multimodal probability measure. We show that th…
Analysis of Adaptive Multilevel Splitting algorithms in an idealized case
Charles-Edouard Bréhier, Tony Lelievre, Mathias Rousset
The Adaptive Multilevel Splitting algorithm is a very powerful and versatile method to estimate rare events probabilities. It is an iterative procedure on an interacting particle s…
A Generalized Parallel Replica Dynamics
Andrew Binder, Tony Lelièvre, Gideon Simpson
Metastability is a common obstacle to performing long molecular dynamics simulations. Many numerical methods have been proposed to overcome it. One method is parallel replica dynam…
The parallel replica method for simulating long trajectories of Markov chains
David Aristoff, Tony Lelièvre, Gideon Simpson
The parallel replica dynamics, originally developed by A.F. Voter, efficiently simulates very long trajectories of metastable Langevin dynamics. We present an analogous algorithm f…
A nonintrusive Reduced Basis Method applied to aeroacoustic simulations
Fabien Casenave, Alexandre Ern, Tony Lelièvre
The Reduced Basis Method can be exploited in an efficient way only if the so-called affine dependence assumption on the operator and right-hand side of the considered problem with…