T
Tony Lelièvre
Researcher at University of Paris
Publications - 220
Citations - 6154
Tony Lelièvre is an academic researcher from University of Paris. The author has contributed to research in topics: Stochastic differential equation & Langevin dynamics. The author has an hindex of 39, co-authored 208 publications receiving 5152 citations. Previous affiliations of Tony Lelièvre include Université de Montréal & École Normale Supérieure.
Papers
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Book
Free Energy Computations: A Mathematical Perspective
TL;DR: Sampling Methods Stochastic Differential Equations Meta-Stability Free Energy Perturbation Thermodynamic Integration Constrained Dynamics Non-Equilibrium Methods Fluctuation Identities Jarzynski Identity Adaptive Techniques Long Time Convergence Replica Selection Methods Selection Mechanisms Parallel Computation.
Journal ArticleDOI
The adaptive biasing force method: everything you always wanted to know but were afraid to ask.
Jeffrey Comer,James C. Gumbart,Jérôme Hénin,Tony Lelièvre,Andrew Pohorille,Andrew Pohorille,Christophe Chipot +6 more
TL;DR: In this contribution, the adaptive biasing force algorithm is presented in a comprehensive, self-contained fashion, discussing with a critical eye its properties, applicability, and inherent limitations, as well as introducing novel extensions.
Book
Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
TL;DR: In this article, the magnetohydrodynamics equations of one-fluid problems have been analyzed and approximations of these problems are given for one industrial application using MHD models.
Journal ArticleDOI
Partial differential equations and stochastic methods in molecular dynamics
Tony Lelièvre,Gabriel Stoltz +1 more
TL;DR: This review describes how techniques from the analysis of partial differential equations can be used to devise good algorithms and to quantify their efficiency and accuracy.
Journal ArticleDOI
Existence of solution for a micro–macro model of polymeric fluid: the FENE model
TL;DR: In this paper, a non-linear micro-macro model of polymeric fluids in the case of a shear flow was analyzed and the existence of a unique solution to the stochastic differential equation which rules the evolution of a representative polymer in the flow was proved.