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## Lelièvre, Tony

Compute Distance To:
 Author ID: lelievre.tony Published as: Lelièvre, Tony; Lelièvre, T.; Leli\vre, Tony; Lelievre, Tony; Leliévre, Tony; Leliévre, T. External Links: MGP
 Documents Indexed: 94 Publications since 2002, including 4 Books
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#### Co-Authors

 3 single-authored 19 Le Bris, Claude 17 Jourdain, Benjamin 15 Stoltz, Gabriel 10 Legoll, Frédéric 8 Ern, Alexandre 8 Rousset, Mathias 5 Cancès, Eric 4 Fort, Gersende 4 Gerbeau, Jean-Frédéric 3 Alrachid, Houssam 3 Aristoff, David 3 Boyaval, Sébastien 3 Bréhier, Charles-Edouard 3 Casenave, Fabien 3 Ehrlacher, Virginie 3 Le Peutrec, Dorian 3 Nectoux, Boris 3 Samaey, Giovanni 2 Benoit, David 2 Di Gesù, Giacomo 2 He, Lingbing 2 Joubaud, Rémi 2 Kuhn, Estelle 2 Maday, Yvon 2 Miasojedow, Błażej 2 Nier, Francis 2 Pavliotis, Grigorios A. 2 Roux, Raphaël 2 Simpson, Gideon 2 Vanden-Eijnden, Eric 1 Assaraf, Roland 1 Belhaq, Mohamed 1 Binder, Andrew J. 1 Blanc, Xavier 1 Brochard, Laurent 1 Cérou, Frédéric 1 Champagnat, Nicolas 1 Chipot, Christophe 1 Chopin, Nicolas 1 Ciccotti, Giovanni 1 Croisille, Jean-Pierre 1 Di Pietro, Daniele Antonio 1 Dobson, Matthew 1 Duncan, Andrew B. 1 El Makrini, Mohamed 1 Faou, Erwan 1 Formaggia, Luca 1 Gazeau, Maxime 1 Goudenège, Ludovic 1 Grenier, Emmanuel 1 Guyader, Arnaud 1 Hoffmann, Marc R. 1 Hudson, Thomas 1 Lafitte, Pauline 1 Legat, Vincent 1 Louvet, Violaine 1 Luskin, Mitchell 1 Malrieu, Florent 1 Mangoubi, Claude 1 Mayne, Christopher G. 1 Minoukadeh, K. 1 Nguyen, Ngoc Cuong 1 Nouy, Anthony 1 Olla, Stefano 1 Otto, Felix 1 Patera, Anthony T. 1 Perez, Danny 1 Perotto, Simona 1 Pillaud-Vivien, Loucas 1 Prieur, Clémentine 1 Proft, Jennifer 1 Rachdi, Nabil 1 Reygner, Julien 1 Rozza, Gianluigi 1 Sharma, Upanshu 1 Talhouk, Raafat 1 Tejada, Ignacio G. 1 Teo, Ivan 1 Vigneaux, Paul 1 Zhang, Wei 1 Zielinski, Przemyslaw
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#### Serials

 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Nonlinearity 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Computers and Fluids 3 Journal of Computational Physics 3 Journal of Statistical Physics 3 Mathematics of Computation 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Multiscale Modeling & Simulation 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Archive for Rational Mechanics and Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Functional Analysis 2 Numerische Mathematik 2 Constructive Approximation 2 The Annals of Applied Probability 2 Stochastic Processes and their Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 AMRX. Applied Mathematics Research eXpress 2 Communications in Mathematical Sciences 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Statistics and Computing 1 Communications on Pure and Applied Mathematics 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Physica D 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Analele Universităţii din Craiova. Seria Matematică Informatică 1 Monte Carlo Methods and Applications 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Chaos 1 Archives of Computational Methods in Engineering 1 Journal of Numerical Mathematics 1 Acta Numerica 1 Networks and Heterogeneous Media 1 Kinetic and Related Models 1 Analysis & PDE 1 Science China. Mathematics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Annals of PDE 1 Numerical Mathematics and Scientific Computation 1 SMAI Journal of Computational Mathematics
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#### Fields

 40 Probability theory and stochastic processes (60-XX) 40 Numerical analysis (65-XX) 36 Statistical mechanics, structure of matter (82-XX) 25 Fluid mechanics (76-XX) 24 Partial differential equations (35-XX) 10 Statistics (62-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Information and communication theory, circuits (94-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

76 Publications have been cited 894 times in 566 Documents Cited by Year
Mathematical methods for the magnetohydrodynamics of liquid metals. Zbl 1107.76001
Gerbeau, Jean-Frédéric; Le Bris, Claude; Lelièvre, Tony
2006
Free energy computations. A mathematical perspective. Zbl 1227.82002
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2010
Existence of solution for a micro-macro model of polymeric fluid: The FENE model. Zbl 1047.76004
Jourdain, Benjamin; Lelièvre, Tony; Le Bris, Claude
2004
Reduced basis techniques for stochastic problems. Zbl 1269.65005
Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T.
2010
Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix
2006
Partial differential equations and stochastic methods in molecular dynamics. Zbl 1348.82065
Lelièvre, Tony; Stoltz, Gabriel
2016
Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations. Zbl 1191.65156
Le Bris, C.; Lelièvre, T.; Maday, Y.
2009
Variance reduction using nonreversible Langevin samplers. Zbl 1343.82036
Duncan, A. B.; Lelièvre, T.; Pavliotis, G. A.
2016
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A.
2013
Convergence of a greedy algorithm for high-dimensional convex nonlinear problems. Zbl 1259.65098
Cancès, Eric; Ehrlacher, Virginie; Lelièvre, Tony
2011
Effective dynamics using conditional expectations. Zbl 1209.60036
Legoll, Frédéric; Lelièvre, Tony
2010
New entropy estimates for the Oldroyd-B model and related models. Zbl 1137.35318
Hu, D.; Lelièvre, T.
2007
Numerical analysis of micro-macro simulations of polymeric fluid flows: A simple case. Zbl 1041.76003
Jourdain, Benjamin; Lelièvre, Tony; Le Bris, Claude
2002
Multiscale modelling of complex fluids: a mathematical initiation. Zbl 1157.76002
Le Bris, Claude; Lelièvre, Tony
2009
Generalized Navier boundary condition and geometric conservation law for surface tension. Zbl 1229.76037
Gerbeau, J.-F.; Lelièvre, T.
2009
Long-time convergence of an adaptive biasing force method. Zbl 1146.35320
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2008
Projection of diffusions on submanifolds: application to mean force computation. Zbl 1185.82050
Ciccotti, Giovanni; Lelièvre, Tony; Vanden-Eijnden, Eric
2008
Free-energy-dissipative schemes for the Oldroyd-B model. Zbl 1167.76018
Boyaval, Sébastien; Lelièvre, Tony; Mangoubi, Claude
2009
Simulations of MHD flows with moving interfaces. Zbl 1118.76359
Gerbeau, J.-F.; Lelièvre, T.; Le Bris, C.
2003
Free energy methods for Bayesian inference: efficient exploration of univariate Gaussian mixture posteriors. Zbl 1252.62015
Chopin, Nicolas; Lelièvre, Tony; Stoltz, Gabriel
2012
Mathematical analysis of a stochastic differential equation arising in the micro-macro modelling of polymeric fluids. Zbl 1081.76006
Jourdain, Benjamin; Lelièvre, Tony
2003
Langevin dynamics with constraints and computation of free energy differences. Zbl 1274.82034
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2012
Computation of free energy differences through nonequilibrium stochastic dynamics: The reaction coordinate case. Zbl 1197.82087
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2007
On a variance reduction technique for micro–macro simulations of polymeric fluids. Zbl 1143.76333
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony
2004
A mathematical formalization of the parallel replica dynamics. Zbl 1243.82045
Le Bris, Claude; Lelièvre, Tony; Luskin, Mitchell; Perez, Danny
2012
A micro-macro parareal algorithm: application to singularly perturbed ordinary differential equations. Zbl 1362.65071
Legoll, Frédéric; Lelièvre, Tony; Samaey, Giovanni
2013
A variance reduction method for parametrized stochastic differential equations using the reduced basis paradigm. Zbl 1213.65016
Boyaval, Sébastien; Lelièvre, Tony
2010
Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics. Zbl 1377.76006
Le Bris, Claude; Lelièvre, Tony
2012
Optimal scaling for the transient phase of the random walk Metropolis algorithm: the mean-field limit. Zbl 1329.60262
Jourdain, Benjamin; Lelièvre, Tony; Miasojedow, Błażej
2015
Convergence of the Wang-Landau algorithm. Zbl 1317.65011
Fort, Gersende; Jourdain, Benjamin; Kuhn, Estelle; Lelièvre, Tony; Stoltz, Gabriel
2015
Two mathematical tools to analyze metastable stochastic processes. Zbl 1272.82027
Leliévre, T.
2013
Existence, uniqueness and convergence of a particle approximation for the adaptive biasing force process. Zbl 1201.65011
Jourdain, Benjamin; Lelièvre, Tony; Roux, Raphaël
2010
Quantum Monte Carlo simulations of fermions: a mathematical analysis of the fixed-node approximation. Zbl 1098.81095
Cancès, Eric; Jourdain, Benjamin; Lelièvre, Tony
2006
Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes. Zbl 1245.35125
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
2012
Optimal scaling for the transient phase of Metropolis Hastings algorithms: the longtime behavior. Zbl 1329.60261
Jourdain, Benjamin; Lelièvre, Tony; Miasojedow, Błażej
2014
Unbiasedness of some generalized adaptive multilevel splitting algorithms. Zbl 1361.65006
Bréhier, Charles-Edouard; Gazeau, Maxime; Goudenège, Ludovic; Lelièvre, Tony; Rousset, Mathias
2016
A numerical closure approach for kinetic models of polymeric fluids: exploring closure relations for FENE dumbbells. Zbl 1452.82032
Samaey, Giovanni; Lelièvre, Tony; Legat, Vincent
2011
A nonintrusive reduced basis method applied to aeroacoustic simulations. Zbl 1338.76049
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2015
Pathwise estimates for an effective dynamics. Zbl 1395.60061
Legoll, Frédéric; Lelièvre, Tony; Olla, Stefano
2017
A general two-scale criteria for logarithmic Sobolev inequalities. Zbl 1170.60012
Lelièvre, Tony
2009
On the length of one-dimensional reactive paths. Zbl 1288.60047
Cérou, Frédéric; Guyader, Arnaud; Leliévre, Tony; Malrieu, Florent
2013
Diffusion Monte Carlo method: numerical analysis in a simple case. Zbl 1135.81379
El Makrini, Mohamed; Jourdian, Benjamin; Lelièvre, Tony
2007
Analysis of some discretization schemes for constrained stochastic differential equations. (Analyse de certains schémas de discrétisation pour des équations différentielles stochastiques contraintes.) Zbl 1142.65308
Lelièvre, Tony; Le Bris, Claude; Vanden-Eijnden, Eric
2008
Accurate and online-efficient evaluation of the a posteriori error bound in the reduced basis method. Zbl 1288.65157
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2014
Long-time convergence of an adaptive biasing force method: the bi-channel case. Zbl 1257.82086
2011
Efficiency of the Wang-Landau algorithm: a simple test case. Zbl 1317.65010
Fort, Gersende; Jourdain, Benjamin; Kuhn, Estelle; Lelièvre, Tony; Stoltz, Gabriel
2014
Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021
Lelièvre, Tony; Nier, Francis
2015
Analysis of adaptive multilevel splitting algorithms in an idealized case. Zbl 1348.65017
Bréhier, Charles-Edouard; Lelièvre, Tony; Rousset, Mathias
2015
Hybrid Monte Carlo methods for sampling probability measures on submanifolds. Zbl 1453.65027
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2019
Conservative stochastic differential equations: mathematical and numerical analysis. Zbl 1203.60069
Faou, Erwan; Lelièvre, Tony
2009
Some remarks on free energy and coarse-graining. Zbl 1244.82064
Legoll, Frédéric; Lelièvre, Tony
2012
Adaptive multilevel splitting in molecular dynamics simulations. Zbl 1338.60188
Aristoff, David; Lelièvre, Tony; Mayne, Christopher G.; Teo, Ivan
2015
A generalized parallel replica dynamics. Zbl 1352.92187
Binder, Andrew; Lelièvre, Tony; Simpson, Gideon
2015
Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates. Zbl 1422.60133
Lelievre, Tony; Zhang, Wei
2019
Sharp asymptotics of the first exit point density. Zbl 1431.60087
Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris
2019
Computation of sensitivities for the invariant measure of a parameter dependent diffusion. Zbl 1401.37087
Assaraf, Roland; Jourdain, Benjamin; Lelièvre, Tony; Roux, Raphaël
2018
Derivation of Langevin dynamics in a nonzero background flow field. Zbl 1287.82017
Dobson, Matthew; Legoll, Frédéric; Lelièvre, Tony; Stoltz, Gabriel
2013
Adaptive models for polymeric fluid flow simulation. Zbl 1111.76004
Ern, Alexandre; Lelièvre, Tony
2007
Mathematical analysis of temperature accelerated dynamics. Zbl 1326.82018
Aristoff, David; Lelièvre, Tony
2014
Greedy algorithms for high-dimensional non-symmetric linear problems. Zbl 1330.65097
Cancès, E.; Ehrlacher, V.; Lelièvre, T.
2013
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points. I. Zbl 1445.60055
Di Gesù, Giacomo; Lelièvre, Tony; Le Peutrec, Dorian; Nectoux, Boris
2020
Variants of the empirical interpolation method: symmetric formulation, choice of norms and rectangular extension. Zbl 1337.65014
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2016
Coupling PDEs and SDEs: the illustrative example of the multiscale simulation of viscoelastic flows. Zbl 1077.76004
Jourdain, Benjamin; Le Bris, Claude; Leli\vre, Tony
2005
Periodic long-time behaviour for an approximate model of nematic polymers. Zbl 1250.35031
He, Lingbing; Le Bris, Claude; Lelièvre, Tony
2012
Beyond multiscale and multiphysics: multimaths for model coupling. Zbl 1264.82099
Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric; Lelièvre, Tony
2010
The parallel replica method for simulating long trajectories of Markov chains. Zbl 1315.65010
Aristoff, David; Lelièvre, Tony; Simpson, Gideon
2014
Greedy algorithms for high-dimensional eigenvalue problems. Zbl 1310.47025
Cancès, Eric; Ehrlacher, Virginie; Lelièvre, Tony
2014
Long-time convergence of an adaptive biasing force method: variance reduction by Helmholtz projection. Zbl 1416.65015
Alrachid, Houssam; Lelièvre, Tony
2015
On a new class of score functions to estimate tail probabilities of some stochastic processes with adaptive multilevel splitting. Zbl 1462.62148
Bréhier, Charles-Edouard; Lelièvre, Tony
2019
Central limit theorem for stationary Fleming-Viot particle systems in finite spaces. Zbl 1414.60016
Lelièvre, Tony; Pillaud-Vivien, Loucas; Reygner, Julien
2018
Modeling and simulation of the industrial production of aluminium: The nonlinear approach. Zbl 1100.76536
Gerbeau, J.-F.; Lelièvre, T.; Le Bris, C.
2004
Optimal error estimate for the CONNFFESSIT approach in a simple case. Zbl 1100.76540
Lelièvre, T.
2004
An elementary argument regarding the long-time behavior of the solution to a stochastic differential equation. (An elementary argument regarding the long-time behaviour of the solution to a stochastic differential equation.) Zbl 1120.76003
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony
2005
Numerical study of a thin liquid film flowing down an inclined wavy plane. Zbl 1366.76011
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
2011
Variance reduction result for a projected adaptive biasing force method. Zbl 1388.82022
Alrachid, Houssam; Lelièvre, Tony
2017
Local and global solution for a nonlocal Fokker-Planck equation related to the adaptive biasing force process. Zbl 1337.35151
Alrachid, Houssam; Lelièvre, Tony; Talhouk, Raafat
2016
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points. I. Zbl 1445.60055
Di Gesù, Giacomo; Lelièvre, Tony; Le Peutrec, Dorian; Nectoux, Boris
2020
Hybrid Monte Carlo methods for sampling probability measures on submanifolds. Zbl 1453.65027
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2019
Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates. Zbl 1422.60133
Lelievre, Tony; Zhang, Wei
2019
Sharp asymptotics of the first exit point density. Zbl 1431.60087
Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris
2019
On a new class of score functions to estimate tail probabilities of some stochastic processes with adaptive multilevel splitting. Zbl 1462.62148
Bréhier, Charles-Edouard; Lelièvre, Tony
2019
Computation of sensitivities for the invariant measure of a parameter dependent diffusion. Zbl 1401.37087
Assaraf, Roland; Jourdain, Benjamin; Lelièvre, Tony; Roux, Raphaël
2018
Central limit theorem for stationary Fleming-Viot particle systems in finite spaces. Zbl 1414.60016
Lelièvre, Tony; Pillaud-Vivien, Loucas; Reygner, Julien
2018
Pathwise estimates for an effective dynamics. Zbl 1395.60061
Legoll, Frédéric; Lelièvre, Tony; Olla, Stefano
2017
Variance reduction result for a projected adaptive biasing force method. Zbl 1388.82022
Alrachid, Houssam; Lelièvre, Tony
2017
Partial differential equations and stochastic methods in molecular dynamics. Zbl 1348.82065
Lelièvre, Tony; Stoltz, Gabriel
2016
Variance reduction using nonreversible Langevin samplers. Zbl 1343.82036
Duncan, A. B.; Lelièvre, T.; Pavliotis, G. A.
2016
Unbiasedness of some generalized adaptive multilevel splitting algorithms. Zbl 1361.65006
Bréhier, Charles-Edouard; Gazeau, Maxime; Goudenège, Ludovic; Lelièvre, Tony; Rousset, Mathias
2016
Variants of the empirical interpolation method: symmetric formulation, choice of norms and rectangular extension. Zbl 1337.65014
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2016
Local and global solution for a nonlocal Fokker-Planck equation related to the adaptive biasing force process. Zbl 1337.35151
Alrachid, Houssam; Lelièvre, Tony; Talhouk, Raafat
2016
Optimal scaling for the transient phase of the random walk Metropolis algorithm: the mean-field limit. Zbl 1329.60262
Jourdain, Benjamin; Lelièvre, Tony; Miasojedow, Błażej
2015
Convergence of the Wang-Landau algorithm. Zbl 1317.65011
Fort, Gersende; Jourdain, Benjamin; Kuhn, Estelle; Lelièvre, Tony; Stoltz, Gabriel
2015
A nonintrusive reduced basis method applied to aeroacoustic simulations. Zbl 1338.76049
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2015
Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021
Lelièvre, Tony; Nier, Francis
2015
Analysis of adaptive multilevel splitting algorithms in an idealized case. Zbl 1348.65017
Bréhier, Charles-Edouard; Lelièvre, Tony; Rousset, Mathias
2015
Adaptive multilevel splitting in molecular dynamics simulations. Zbl 1338.60188
Aristoff, David; Lelièvre, Tony; Mayne, Christopher G.; Teo, Ivan
2015
A generalized parallel replica dynamics. Zbl 1352.92187
Binder, Andrew; Lelièvre, Tony; Simpson, Gideon
2015
Long-time convergence of an adaptive biasing force method: variance reduction by Helmholtz projection. Zbl 1416.65015
Alrachid, Houssam; Lelièvre, Tony
2015
Optimal scaling for the transient phase of Metropolis Hastings algorithms: the longtime behavior. Zbl 1329.60261
Jourdain, Benjamin; Lelièvre, Tony; Miasojedow, Błażej
2014
Accurate and online-efficient evaluation of the a posteriori error bound in the reduced basis method. Zbl 1288.65157
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
2014
Efficiency of the Wang-Landau algorithm: a simple test case. Zbl 1317.65010
Fort, Gersende; Jourdain, Benjamin; Kuhn, Estelle; Lelièvre, Tony; Stoltz, Gabriel
2014
Mathematical analysis of temperature accelerated dynamics. Zbl 1326.82018
Aristoff, David; Lelièvre, Tony
2014
The parallel replica method for simulating long trajectories of Markov chains. Zbl 1315.65010
Aristoff, David; Lelièvre, Tony; Simpson, Gideon
2014
Greedy algorithms for high-dimensional eigenvalue problems. Zbl 1310.47025
Cancès, Eric; Ehrlacher, Virginie; Lelièvre, Tony
2014
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A.
2013
A micro-macro parareal algorithm: application to singularly perturbed ordinary differential equations. Zbl 1362.65071
Legoll, Frédéric; Lelièvre, Tony; Samaey, Giovanni
2013
Two mathematical tools to analyze metastable stochastic processes. Zbl 1272.82027
Leliévre, T.
2013
On the length of one-dimensional reactive paths. Zbl 1288.60047
Cérou, Frédéric; Guyader, Arnaud; Leliévre, Tony; Malrieu, Florent
2013
Derivation of Langevin dynamics in a nonzero background flow field. Zbl 1287.82017
Dobson, Matthew; Legoll, Frédéric; Lelièvre, Tony; Stoltz, Gabriel
2013
Greedy algorithms for high-dimensional non-symmetric linear problems. Zbl 1330.65097
Cancès, E.; Ehrlacher, V.; Lelièvre, T.
2013
Free energy methods for Bayesian inference: efficient exploration of univariate Gaussian mixture posteriors. Zbl 1252.62015
Chopin, Nicolas; Lelièvre, Tony; Stoltz, Gabriel
2012
Langevin dynamics with constraints and computation of free energy differences. Zbl 1274.82034
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2012
A mathematical formalization of the parallel replica dynamics. Zbl 1243.82045
Le Bris, Claude; Lelièvre, Tony; Luskin, Mitchell; Perez, Danny
2012
Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics. Zbl 1377.76006
Le Bris, Claude; Lelièvre, Tony
2012
Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes. Zbl 1245.35125
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
2012
Some remarks on free energy and coarse-graining. Zbl 1244.82064
Legoll, Frédéric; Lelièvre, Tony
2012
Periodic long-time behaviour for an approximate model of nematic polymers. Zbl 1250.35031
He, Lingbing; Le Bris, Claude; Lelièvre, Tony
2012
Convergence of a greedy algorithm for high-dimensional convex nonlinear problems. Zbl 1259.65098
Cancès, Eric; Ehrlacher, Virginie; Lelièvre, Tony
2011
A numerical closure approach for kinetic models of polymeric fluids: exploring closure relations for FENE dumbbells. Zbl 1452.82032
Samaey, Giovanni; Lelièvre, Tony; Legat, Vincent
2011
Long-time convergence of an adaptive biasing force method: the bi-channel case. Zbl 1257.82086
2011
Numerical study of a thin liquid film flowing down an inclined wavy plane. Zbl 1366.76011
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
2011
Free energy computations. A mathematical perspective. Zbl 1227.82002
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2010
Reduced basis techniques for stochastic problems. Zbl 1269.65005
Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T.
2010
Effective dynamics using conditional expectations. Zbl 1209.60036
Legoll, Frédéric; Lelièvre, Tony
2010
A variance reduction method for parametrized stochastic differential equations using the reduced basis paradigm. Zbl 1213.65016
Boyaval, Sébastien; Lelièvre, Tony
2010
Existence, uniqueness and convergence of a particle approximation for the adaptive biasing force process. Zbl 1201.65011
Jourdain, Benjamin; Lelièvre, Tony; Roux, Raphaël
2010
Beyond multiscale and multiphysics: multimaths for model coupling. Zbl 1264.82099
Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric; Lelièvre, Tony
2010
Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations. Zbl 1191.65156
Le Bris, C.; Lelièvre, T.; Maday, Y.
2009
Multiscale modelling of complex fluids: a mathematical initiation. Zbl 1157.76002
Le Bris, Claude; Lelièvre, Tony
2009
Generalized Navier boundary condition and geometric conservation law for surface tension. Zbl 1229.76037
Gerbeau, J.-F.; Lelièvre, T.
2009
Free-energy-dissipative schemes for the Oldroyd-B model. Zbl 1167.76018
Boyaval, Sébastien; Lelièvre, Tony; Mangoubi, Claude
2009
A general two-scale criteria for logarithmic Sobolev inequalities. Zbl 1170.60012
Lelièvre, Tony
2009
Conservative stochastic differential equations: mathematical and numerical analysis. Zbl 1203.60069
Faou, Erwan; Lelièvre, Tony
2009
Long-time convergence of an adaptive biasing force method. Zbl 1146.35320
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2008
Projection of diffusions on submanifolds: application to mean force computation. Zbl 1185.82050
Ciccotti, Giovanni; Lelièvre, Tony; Vanden-Eijnden, Eric
2008
Analysis of some discretization schemes for constrained stochastic differential equations. (Analyse de certains schémas de discrétisation pour des équations différentielles stochastiques contraintes.) Zbl 1142.65308
Lelièvre, Tony; Le Bris, Claude; Vanden-Eijnden, Eric
2008
New entropy estimates for the Oldroyd-B model and related models. Zbl 1137.35318
Hu, D.; Lelièvre, T.
2007
Computation of free energy differences through nonequilibrium stochastic dynamics: The reaction coordinate case. Zbl 1197.82087
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
2007
Diffusion Monte Carlo method: numerical analysis in a simple case. Zbl 1135.81379
El Makrini, Mohamed; Jourdian, Benjamin; Lelièvre, Tony
2007
Adaptive models for polymeric fluid flow simulation. Zbl 1111.76004
Ern, Alexandre; Lelièvre, Tony
2007
Mathematical methods for the magnetohydrodynamics of liquid metals. Zbl 1107.76001
Gerbeau, Jean-Frédéric; Le Bris, Claude; Lelièvre, Tony
2006
Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix
2006
Quantum Monte Carlo simulations of fermions: a mathematical analysis of the fixed-node approximation. Zbl 1098.81095
Cancès, Eric; Jourdain, Benjamin; Lelièvre, Tony
2006
Coupling PDEs and SDEs: the illustrative example of the multiscale simulation of viscoelastic flows. Zbl 1077.76004
Jourdain, Benjamin; Le Bris, Claude; Leli\`vre, Tony
2005
An elementary argument regarding the long-time behavior of the solution to a stochastic differential equation. (An elementary argument regarding the long-time behaviour of the solution to a stochastic differential equation.) Zbl 1120.76003
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony
2005
Existence of solution for a micro-macro model of polymeric fluid: The FENE model. Zbl 1047.76004
Jourdain, Benjamin; Lelièvre, Tony; Le Bris, Claude
2004
On a variance reduction technique for micro–macro simulations of polymeric fluids. Zbl 1143.76333
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony
2004
Modeling and simulation of the industrial production of aluminium: The nonlinear approach. Zbl 1100.76536
Gerbeau, J.-F.; Lelièvre, T.; Le Bris, C.
2004
Optimal error estimate for the CONNFFESSIT approach in a simple case. Zbl 1100.76540
Lelièvre, T.
2004
Simulations of MHD flows with moving interfaces. Zbl 1118.76359
Gerbeau, J.-F.; Lelièvre, T.; Le Bris, C.
2003
Mathematical analysis of a stochastic differential equation arising in the micro-macro modelling of polymeric fluids. Zbl 1081.76006
Jourdain, Benjamin; Lelièvre, Tony
2003
Numerical analysis of micro-macro simulations of polymeric fluid flows: A simple case. Zbl 1041.76003
Jourdain, Benjamin; Lelièvre, Tony; Le Bris, Claude
2002
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#### Cited by 865 Authors

 46 Lelièvre, Tony 20 Stoltz, Gabriel 14 He, Yinnian 13 Süli, Endre E. 12 Nouy, Anthony 11 Zhang, Guodong 10 Le Bris, Claude 9 Barrett, John W. 9 Jourdain, Benjamin 9 Pavliotis, Grigorios A. 8 Masmoudi, Nader 8 Rousset, Mathias 7 Samaey, Giovanni 7 Wu, Shulin 6 Boyaval, Sébastien 6 Bréhier, Charles-Edouard 6 Chen, Peng 6 Chinesta, Francisco 6 Ottobre, Michela 6 Zhang, Mingji 5 An, Rong 5 Del Moral, Pierre 5 Ehrlacher, Virginie 5 Falcó, Antonio 5 Feng, Xinlong 5 Ferré, Grégoire 5 Fort, Gersende 5 Legoll, Frédéric 5 Razafimandimby, Paul André 5 Sharma, Upanshu 5 Zielinski, Przemyslaw 4 Alrachid, Houssam 4 Aristoff, David 4 Bouchet, Freddy 4 Cancès, Eric 4 Chupin, Laurent 4 Ciuperca, Ionel Sorin 4 Dong, Xiaojing 4 Duncan, Andrew B. 4 Efendiev, Yalchin R. 4 Ern, Alexandre 4 He, Xiaoming 4 Hou, Thomas Yizhao 4 Koltai, Péter 4 Koutsourelakis, Phaedon-Stelios 4 Li, Yuan 4 Lukáčová-Medvid’ová, Mária 4 Mizerová, Hana 4 Nectoux, Boris 4 Quarteroni, Alfio M. 4 Roberts, Gareth O. 4 Schütte, Christof 4 Su, Haiyan 4 Trstanova, Zofia 4 Vanden-Eijnden, Eric 4 Yang, Jinjin 4 Yang, Xiaofeng 4 Zhang, Pingwen 4 Zhang, Zhifei 3 Ammar, Amine 3 Bachmayr, Markus 3 Benner, Peter 3 Bierkens, Joris 3 Bittracher, Andreas 3 Bulíček, Miroslav 3 Casenave, Fabien 3 Constantin, Peter 3 Cueto, Elias 3 Duong, Manh Hong 3 Fan, Jishan 3 Fumagalli, Ivan 3 Gallagher, Isabelle 3 Gunzburger, Max D. 3 Guyader, Arnaud 3 Hartmann, Carsten 3 Knezevic, David J. 3 Le Peutrec, Dorian 3 Leimkuhler, Benedict J. 3 Li, Fucai 3 Li, Tiejun 3 Liao, Qifeng 3 Lin, Fang Hua 3 Málek, Josef 3 Manna, Utpal 3 Mao, Shipeng 3 Monmarché, Pierre 3 Mukherjee, Debopriya 3 Nguyen, Ngoc Cuong 3 Nüsken, Nikolas 3 Palade, Liviu-Iulian 3 Parolini, Nicola 3 Peherstorfer, Benjamin 3 Peletier, Mark Adriaan 3 Rozza, Gianluigi 3 Schwab, Christoph 3 Soize, Christian 3 Spiliopoulos, Konstantinos V. 3 Stuart, Andrew M. 3 Tan, Zhong 3 Verani, Marco ...and 765 more Authors
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#### Cited in 153 Serials

 51 Journal of Computational Physics 24 Computer Methods in Applied Mechanics and Engineering 21 Journal of Scientific Computing 20 Journal of Statistical Physics 15 Journal of Computational and Applied Mathematics 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Multiscale Modeling & Simulation 11 Computers & Mathematics with Applications 11 Journal of Differential Equations 11 SIAM Journal on Mathematical Analysis 11 Stochastic Processes and their Applications 11 Statistics and Computing 10 Advances in Computational Mathematics 10 SIAM/ASA Journal on Uncertainty Quantification 9 Archive for Rational Mechanics and Analysis 9 SIAM Journal on Scientific Computing 8 Journal of Mathematical Analysis and Applications 8 Applied Numerical Mathematics 8 Archives of Computational Methods in Engineering 7 Communications in Mathematical Physics 7 The Annals of Applied Probability 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Fluid Mechanics 6 Nonlinearity 6 Mathematics of Computation 6 Numerische Mathematik 6 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Nonlinear Science 5 Foundations of Computational Mathematics 4 Computers and Fluids 4 Journal of Functional Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Numerical Analysis 4 Physica D 4 Numerical Methods for Partial Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Electronic Journal of Probability 3 The Annals of Probability 3 BIT 3 International Journal for Numerical Methods in Engineering 3 Acta Applicandae Mathematicae 3 SIAM Journal on Applied Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Chaos 3 Mathematical and Computer Modelling of Dynamical Systems 3 Annales Henri Poincaré 3 Nonlinear Analysis. Real World Applications 3 SIAM Journal on Applied Dynamical Systems 3 Kinetic and Related Models 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Advances in Applied Probability 2 Applicable Analysis 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 International Journal of Engineering Science 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Journal of Applied Probability 2 Chinese Annals of Mathematics. Series B 2 Probability Theory and Related Fields 2 Constructive Approximation 2 Computational Mechanics 2 Applied Mathematics Letters 2 European Journal of Applied Mathematics 2 Numerical Algorithms 2 Communications in Partial Differential Equations 2 Journal of Non-Newtonian Fluid Mechanics 2 SIAM Review 2 Journal of Dynamics and Differential Equations 2 Computational Optimization and Applications 2 Numerical Linear Algebra with Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 European Journal of Mechanics. B. Fluids 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Geosciences 2 Journal of Numerical Mathematics 2 Stochastics and Dynamics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Science China. Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 SMAI Journal of Computational Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Physica A 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Mathematics and Computers in Simulation ...and 53 more Serials
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#### Cited in 35 Fields

 299 Numerical analysis (65-XX) 216 Partial differential equations (35-XX) 214 Fluid mechanics (76-XX) 172 Probability theory and stochastic processes (60-XX) 130 Statistical mechanics, structure of matter (82-XX) 61 Statistics (62-XX) 29 Mechanics of deformable solids (74-XX) 23 Dynamical systems and ergodic theory (37-XX) 23 Biology and other natural sciences (92-XX) 19 Ordinary differential equations (34-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 13 Operator theory (47-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 11 Systems theory; control (93-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Approximations and expansions (41-XX) 8 Computer science (68-XX) 7 Functional analysis (46-XX) 7 Optics, electromagnetic theory (78-XX) 7 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX)