357 citations · 1.7k across the 74 of their papers we have counts for
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Parareal computation of stochastic differential equations with time-scale separation: a numerical study
Tony Lelièvre, Frédéric Legoll, Keith Myerscough +1
The parareal algorithm is known to allow for a significant reduction in wall clock time for accurate numerical solutions by parallelising across the time dimension. We present and…
Convergence of metadynamics: discussion of the adiabatic hypothesis
Benjamin Jourdain, Tony Lelièvre, Pierre-André Zitt
By drawing a parallel between metadynamics and self interacting models for polymers, we study the longtime convergence of the original metadynamics algorithm in the adiabatic setti…
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points
Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1
We consider the first exit point distribution from a bounded domain of the stochastic process solution to the overdamped Langevin dynamics $$d X_t = -\nabla f(…