×

zbMATH — the first resource for mathematics

Lelièvre, Tony

Compute Distance To:
Author ID: lelievre.tony Recent zbMATH articles by "Lelièvre, Tony"
Published as: Leli\`vre, Tony; Lelievre, Tony; Lelièvre, T.; Lelièvre, Tony; Leliévre, T.; Leliévre, Tony
External Links: MGP · Wikidata
Documents Indexed: 93 Publications since 2002, including 4 Books
all top 5

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 Hu, Dianwang
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
all top 5

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 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

Publications by Year

Citations contained in zbMATH

78 Publications have been cited 865 times in 529 Documents Cited by Year
Mathematical methods for the magnetohydrodynamics of liquid metals. Zbl 1107.76001
Gerbeau, Jean-Frédéric; Le Bris, Claude; Lelièvre, Tony
85
2006
Free energy computations. A mathematical perspective. Zbl 1227.82002
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
59
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
50
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.
42
2010
Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix
34
2006
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.
31
2009
Variance reduction using nonreversible Langevin samplers. Zbl 1343.82036
Duncan, A. B.; Lelièvre, T.; Pavliotis, G. A.
28
2016
Partial differential equations and stochastic methods in molecular dynamics. Zbl 1348.82065
Lelièvre, Tony; Stoltz, Gabriel
27
2016
Convergence of a greedy algorithm for high-dimensional convex nonlinear problems. Zbl 1259.65098
Cancès, Eric; Ehrlacher, Virginie; Lelièvre, Tony
27
2011
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A.
24
2013
Effective dynamics using conditional expectations. Zbl 1209.60036
Legoll, Frédéric; Lelièvre, Tony
23
2010
New entropy estimates for the Oldroyd-B model and related models. Zbl 1137.35318
Hu, D.; Lelièvre, T.
18
2007
Numerical analysis of micro-macro simulations of polymeric fluid flows: A simple case. Zbl 1041.76003
Jourdain, Benjamin; Lelièvre, Tony; Le Bris, Claude
17
2002
Projection of diffusions on submanifolds: application to mean force computation. Zbl 1185.82050
Ciccotti, Giovanni; Lelièvre, Tony; Vanden-Eijnden, Eric
16
2008
Free energy methods for Bayesian inference: efficient exploration of univariate Gaussian mixture posteriors. Zbl 1252.62015
Chopin, Nicolas; Lelièvre, Tony; Stoltz, Gabriel
15
2012
Multiscale modelling of complex fluids: a mathematical initiation. Zbl 1157.76002
Le Bris, Claude; Lelièvre, Tony
15
2009
Long-time convergence of an adaptive biasing force method. Zbl 1146.35320
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
15
2008
Computation of free energy differences through nonequilibrium stochastic dynamics: The reaction coordinate case. Zbl 1197.82087
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
15
2007
Simulations of MHD flows with moving interfaces. Zbl 1118.76359
Gerbeau, J.-F.; Lelièvre, T.; Le Bris, C.
15
2003
Langevin dynamics with constraints and computation of free energy differences. Zbl 1274.82034
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
14
2012
Generalized Navier boundary condition and geometric conservation law for surface tension. Zbl 1229.76037
Gerbeau, J.-F.; Lelièvre, T.
14
2009
Free-energy-dissipative schemes for the Oldroyd-B model. Zbl 1167.76018
Boyaval, Sébastien; Lelièvre, Tony; Mangoubi, Claude
14
2009
Mathematical analysis of a stochastic differential equation arising in the micro-macro modelling of polymeric fluids. Zbl 1081.76006
Jourdain, Benjamin; Lelièvre, Tony
14
2003
A micro-macro parareal algorithm: application to singularly perturbed ordinary differential equations. Zbl 1362.65071
Legoll, Frédéric; Lelièvre, Tony; Samaey, Giovanni
12
2013
A mathematical formalization of the parallel replica dynamics. Zbl 1243.82045
Le Bris, Claude; Lelièvre, Tony; Luskin, Mitchell; Perez, Danny
12
2012
On a variance reduction technique for micro–macro simulations of polymeric fluids. Zbl 1143.76333
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony
12
2004
A variance reduction method for parametrized stochastic differential equations using the reduced basis paradigm. Zbl 1213.65016
Boyaval, Sébastien; Lelièvre, Tony
10
2010
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
9
2015
Two mathematical tools to analyze metastable stochastic processes. Zbl 1272.82027
Leliévre, T.
9
2013
Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics. Zbl 1377.76006
Le Bris, Claude; Lelièvre, Tony
9
2012
Convergence of the Wang-Landau algorithm. Zbl 1317.65011
Fort, Gersende; Jourdain, Benjamin; Kuhn, Estelle; Lelièvre, Tony; Stoltz, Gabriel
8
2015
Optimal scaling for the transient phase of Metropolis Hastings algorithms: the longtime behavior. Zbl 1329.60261
Jourdain, Benjamin; Lelièvre, Tony; Miasojedow, Błażej
8
2014
Existence, uniqueness and convergence of a particle approximation for the adaptive biasing force process. Zbl 1201.65011
Jourdain, Benjamin; Lelièvre, Tony; Roux, Raphaël
8
2010
Pathwise estimates for an effective dynamics. Zbl 1395.60061
Legoll, Frédéric; Lelièvre, Tony; Olla, Stefano
7
2017
Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021
Lelièvre, Tony; Nier, Francis
7
2015
Quantum Monte Carlo simulations of fermions: a mathematical analysis of the fixed-node approximation. Zbl 1098.81095
Cancès, Eric; Jourdain, Benjamin; Lelièvre, Tony
7
2006
A nonintrusive reduced basis method applied to aeroacoustic simulations. Zbl 1338.76049
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
6
2015
Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes. Zbl 1245.35125
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
6
2012
A general two-scale criteria for logarithmic Sobolev inequalities. Zbl 1170.60012
Lelièvre, Tony
6
2009
Diffusion Monte Carlo method: numerical analysis in a simple case. Zbl 1135.81379
El Makrini, Mohamed; Jourdian, Benjamin; Lelièvre, Tony
6
2007
Unbiasedness of some generalized adaptive multilevel splitting algorithms. Zbl 1361.65006
Bréhier, Charles-Edouard; Gazeau, Maxime; Goudenège, Ludovic; Lelièvre, Tony; Rousset, Mathias
5
2016
Analysis of adaptive multilevel splitting algorithms in an idealized case. Zbl 1348.65017
Bréhier, Charles-Edouard; Lelièvre, Tony; Rousset, Mathias
5
2015
Efficiency of the Wang-Landau algorithm: a simple test case. Zbl 1317.65010
Fort, Gersende; Jourdain, Benjamin; Kuhn, Estelle; Lelièvre, Tony; Stoltz, Gabriel
5
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
5
2014
Long-time convergence of an adaptive biasing force method: the bi-channel case. Zbl 1257.82086
Lelièvre, T.; Minoukadeh, K.
5
2011
A numerical closure approach for kinetic models of polymeric fluids: exploring closure relations for FENE dumbbells. Zbl 05909605
Samaey, Giovanni; Lelièvre, Tony; Legat, Vincent
5
2011
Analysis of some discretization schemes for constrained stochastic differential equations. Zbl 1142.65308
Lelièvre, Tony; Le Bris, Claude; Vanden-Eijnden, Eric
5
2008
Hybrid Monte Carlo methods for sampling probability measures on submanifolds. Zbl 07114285
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
4
2019
Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates. Zbl 1422.60133
Lelievre, Tony; Zhang, Wei
4
2019
A generalized parallel replica dynamics. Zbl 1352.92187
Binder, Andrew; Lelièvre, Tony; Simpson, Gideon
4
2015
Adaptive multilevel splitting in molecular dynamics simulations. Zbl 1338.60188
Aristoff, David; Lelièvre, Tony; Mayne, Christopher G.; Teo, Ivan
4
2015
Greedy algorithms for high-dimensional eigenvalue problems. Zbl 1310.47025
Cancès, Eric; Ehrlacher, Virginie; Lelièvre, Tony
4
2014
Greedy algorithms for high-dimensional non-symmetric linear problems. Zbl 1330.65097
Cancès, E.; Ehrlacher, V.; Lelièvre, T.
4
2013
On the length of one-dimensional reactive paths. Zbl 1288.60047
Cérou, Frédéric; Guyader, Arnaud; Leliévre, Tony; Malrieu, Florent
4
2013
Some remarks on free energy and coarse-graining. Zbl 1244.82064
Legoll, Frédéric; Lelièvre, Tony
4
2012
Conservative stochastic differential equations: mathematical and numerical analysis. Zbl 1203.60069
Faou, Erwan; Lelièvre, Tony
4
2009
Sharp asymptotics of the first exit point density. Zbl 1431.60087
Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris
3
2019
Variants of the empirical interpolation method: symmetric formulation, choice of norms and rectangular extension. Zbl 1337.65014
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
3
2016
Mathematical analysis of temperature accelerated dynamics. Zbl 1326.82018
Aristoff, David; Lelièvre, Tony
3
2014
Derivation of Langevin dynamics in a nonzero background flow field. Zbl 1287.82017
Dobson, Matthew; Legoll, Frédéric; Lelièvre, Tony; Stoltz, Gabriel
3
2013
Adaptive models for polymeric fluid flow simulation. Zbl 1111.76004
Ern, Alexandre; Lelièvre, Tony
3
2007
Effective dynamics for non-reversible stochastic differential equations: a quantitative study. Zbl 07123978
Legoll, Frédéric; Lelièvre, Tony; Sharma, Upanshu
2
2019
Self-healing umbrella sampling: convergence and efficiency. Zbl 06696857
Fort, Gersende; Jourdain, Benjamin; Lelièvre, Tony; Stoltz, Gabriel
2
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
2
2016
Long-time convergence of an adaptive biasing force method: variance reduction by Helmholtz projection. Zbl 1416.65015
Alrachid, Houssam; Lelièvre, Tony
2
2015
The parallel replica method for simulating long trajectories of Markov chains. Zbl 1315.65010
Aristoff, David; Lelièvre, Tony; Simpson, Gideon
2
2014
Periodic long-time behaviour for an approximate model of nematic polymers. Zbl 1250.35031
He, Lingbing; Le Bris, Claude; Lelièvre, Tony
2
2012
Beyond multiscale and multiphysics: multimaths for model coupling. Zbl 1264.82099
Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric; Lelièvre, Tony
2
2010
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
2
2005
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
1
2020
Analysis of a micro-macro acceleration method with minimum relative entropy moment matching. Zbl 07194639
Lelièvre, Tony; Samaey, Giovanni; Zieliński, Przemysław
1
2020
On a new class of score functions to estimate tail probabilities of some stochastic processes with adaptive multilevel splitting. Zbl 07046336
Bréhier, Charles-Edouard; Lelièvre, Tony
1
2019
Computation of sensitivities for the invariant measure of a parameter dependent diffusion. Zbl 1401.37087
Assaraf, Roland; Jourdain, Benjamin; Lelièvre, Tony; Roux, Raphaël
1
2018
Variance reduction result for a projected adaptive biasing force method. Zbl 1388.82022
Alrachid, Houssam; Lelièvre, Tony
1
2017
Numerical study of a thin liquid film flowing down an inclined wavy plane. Zbl 1366.76011
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
1
2011
An elementary argument regarding the long-time behavior of the solution to a stochastic differential equation. Zbl 1120.76003
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony
1
2005
Optimal error estimate for the CONNFFESSIT approach in a simple case. Zbl 1100.76540
Lelièvre, T.
1
2004
Modeling and simulation of the industrial production of aluminium: The nonlinear approach. Zbl 1100.76536
Gerbeau, J.-F.; Lelièvre, T.; Le Bris, C.
1
2004
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
1
2020
Analysis of a micro-macro acceleration method with minimum relative entropy moment matching. Zbl 07194639
Lelièvre, Tony; Samaey, Giovanni; Zieliński, Przemysław
1
2020
Hybrid Monte Carlo methods for sampling probability measures on submanifolds. Zbl 07114285
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
4
2019
Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates. Zbl 1422.60133
Lelievre, Tony; Zhang, Wei
4
2019
Sharp asymptotics of the first exit point density. Zbl 1431.60087
Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris
3
2019
Effective dynamics for non-reversible stochastic differential equations: a quantitative study. Zbl 07123978
Legoll, Frédéric; Lelièvre, Tony; Sharma, Upanshu
2
2019
On a new class of score functions to estimate tail probabilities of some stochastic processes with adaptive multilevel splitting. Zbl 07046336
Bréhier, Charles-Edouard; Lelièvre, Tony
1
2019
Computation of sensitivities for the invariant measure of a parameter dependent diffusion. Zbl 1401.37087
Assaraf, Roland; Jourdain, Benjamin; Lelièvre, Tony; Roux, Raphaël
1
2018
Pathwise estimates for an effective dynamics. Zbl 1395.60061
Legoll, Frédéric; Lelièvre, Tony; Olla, Stefano
7
2017
Self-healing umbrella sampling: convergence and efficiency. Zbl 06696857
Fort, Gersende; Jourdain, Benjamin; Lelièvre, Tony; Stoltz, Gabriel
2
2017
Variance reduction result for a projected adaptive biasing force method. Zbl 1388.82022
Alrachid, Houssam; Lelièvre, Tony
1
2017
Variance reduction using nonreversible Langevin samplers. Zbl 1343.82036
Duncan, A. B.; Lelièvre, T.; Pavliotis, G. A.
28
2016
Partial differential equations and stochastic methods in molecular dynamics. Zbl 1348.82065
Lelièvre, Tony; Stoltz, Gabriel
27
2016
Unbiasedness of some generalized adaptive multilevel splitting algorithms. Zbl 1361.65006
Bréhier, Charles-Edouard; Gazeau, Maxime; Goudenège, Ludovic; Lelièvre, Tony; Rousset, Mathias
5
2016
Variants of the empirical interpolation method: symmetric formulation, choice of norms and rectangular extension. Zbl 1337.65014
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
3
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
2
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
9
2015
Convergence of the Wang-Landau algorithm. Zbl 1317.65011
Fort, Gersende; Jourdain, Benjamin; Kuhn, Estelle; Lelièvre, Tony; Stoltz, Gabriel
8
2015
Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021
Lelièvre, Tony; Nier, Francis
7
2015
A nonintrusive reduced basis method applied to aeroacoustic simulations. Zbl 1338.76049
Casenave, Fabien; Ern, Alexandre; Lelièvre, Tony
6
2015
Analysis of adaptive multilevel splitting algorithms in an idealized case. Zbl 1348.65017
Bréhier, Charles-Edouard; Lelièvre, Tony; Rousset, Mathias
5
2015
A generalized parallel replica dynamics. Zbl 1352.92187
Binder, Andrew; Lelièvre, Tony; Simpson, Gideon
4
2015
Adaptive multilevel splitting in molecular dynamics simulations. Zbl 1338.60188
Aristoff, David; Lelièvre, Tony; Mayne, Christopher G.; Teo, Ivan
4
2015
Long-time convergence of an adaptive biasing force method: variance reduction by Helmholtz projection. Zbl 1416.65015
Alrachid, Houssam; Lelièvre, Tony
2
2015
Optimal scaling for the transient phase of Metropolis Hastings algorithms: the longtime behavior. Zbl 1329.60261
Jourdain, Benjamin; Lelièvre, Tony; Miasojedow, Błażej
8
2014
Efficiency of the Wang-Landau algorithm: a simple test case. Zbl 1317.65010
Fort, Gersende; Jourdain, Benjamin; Kuhn, Estelle; Lelièvre, Tony; Stoltz, Gabriel
5
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
5
2014
Greedy algorithms for high-dimensional eigenvalue problems. Zbl 1310.47025
Cancès, Eric; Ehrlacher, Virginie; Lelièvre, Tony
4
2014
Mathematical analysis of temperature accelerated dynamics. Zbl 1326.82018
Aristoff, David; Lelièvre, Tony
3
2014
The parallel replica method for simulating long trajectories of Markov chains. Zbl 1315.65010
Aristoff, David; Lelièvre, Tony; Simpson, Gideon
2
2014
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A.
24
2013
A micro-macro parareal algorithm: application to singularly perturbed ordinary differential equations. Zbl 1362.65071
Legoll, Frédéric; Lelièvre, Tony; Samaey, Giovanni
12
2013
Two mathematical tools to analyze metastable stochastic processes. Zbl 1272.82027
Leliévre, T.
9
2013
Greedy algorithms for high-dimensional non-symmetric linear problems. Zbl 1330.65097
Cancès, E.; Ehrlacher, V.; Lelièvre, T.
4
2013
On the length of one-dimensional reactive paths. Zbl 1288.60047
Cérou, Frédéric; Guyader, Arnaud; Leliévre, Tony; Malrieu, Florent
4
2013
Derivation of Langevin dynamics in a nonzero background flow field. Zbl 1287.82017
Dobson, Matthew; Legoll, Frédéric; Lelièvre, Tony; Stoltz, Gabriel
3
2013
Free energy methods for Bayesian inference: efficient exploration of univariate Gaussian mixture posteriors. Zbl 1252.62015
Chopin, Nicolas; Lelièvre, Tony; Stoltz, Gabriel
15
2012
Langevin dynamics with constraints and computation of free energy differences. Zbl 1274.82034
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
14
2012
A mathematical formalization of the parallel replica dynamics. Zbl 1243.82045
Le Bris, Claude; Lelièvre, Tony; Luskin, Mitchell; Perez, Danny
12
2012
Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics. Zbl 1377.76006
Le Bris, Claude; Lelièvre, Tony
9
2012
Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes. Zbl 1245.35125
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
6
2012
Some remarks on free energy and coarse-graining. Zbl 1244.82064
Legoll, Frédéric; Lelièvre, Tony
4
2012
Periodic long-time behaviour for an approximate model of nematic polymers. Zbl 1250.35031
He, Lingbing; Le Bris, Claude; Lelièvre, Tony
2
2012
Convergence of a greedy algorithm for high-dimensional convex nonlinear problems. Zbl 1259.65098
Cancès, Eric; Ehrlacher, Virginie; Lelièvre, Tony
27
2011
Long-time convergence of an adaptive biasing force method: the bi-channel case. Zbl 1257.82086
Lelièvre, T.; Minoukadeh, K.
5
2011
A numerical closure approach for kinetic models of polymeric fluids: exploring closure relations for FENE dumbbells. Zbl 05909605
Samaey, Giovanni; Lelièvre, Tony; Legat, Vincent
5
2011
Numerical study of a thin liquid film flowing down an inclined wavy plane. Zbl 1366.76011
Ern, Alexandre; Joubaud, Rémi; Lelièvre, Tony
1
2011
Free energy computations. A mathematical perspective. Zbl 1227.82002
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
59
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.
42
2010
Effective dynamics using conditional expectations. Zbl 1209.60036
Legoll, Frédéric; Lelièvre, Tony
23
2010
A variance reduction method for parametrized stochastic differential equations using the reduced basis paradigm. Zbl 1213.65016
Boyaval, Sébastien; Lelièvre, Tony
10
2010
Existence, uniqueness and convergence of a particle approximation for the adaptive biasing force process. Zbl 1201.65011
Jourdain, Benjamin; Lelièvre, Tony; Roux, Raphaël
8
2010
Beyond multiscale and multiphysics: multimaths for model coupling. Zbl 1264.82099
Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric; Lelièvre, Tony
2
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.
31
2009
Multiscale modelling of complex fluids: a mathematical initiation. Zbl 1157.76002
Le Bris, Claude; Lelièvre, Tony
15
2009
Generalized Navier boundary condition and geometric conservation law for surface tension. Zbl 1229.76037
Gerbeau, J.-F.; Lelièvre, T.
14
2009
Free-energy-dissipative schemes for the Oldroyd-B model. Zbl 1167.76018
Boyaval, Sébastien; Lelièvre, Tony; Mangoubi, Claude
14
2009
A general two-scale criteria for logarithmic Sobolev inequalities. Zbl 1170.60012
Lelièvre, Tony
6
2009
Conservative stochastic differential equations: mathematical and numerical analysis. Zbl 1203.60069
Faou, Erwan; Lelièvre, Tony
4
2009
Projection of diffusions on submanifolds: application to mean force computation. Zbl 1185.82050
Ciccotti, Giovanni; Lelièvre, Tony; Vanden-Eijnden, Eric
16
2008
Long-time convergence of an adaptive biasing force method. Zbl 1146.35320
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
15
2008
Analysis of some discretization schemes for constrained stochastic differential equations. Zbl 1142.65308
Lelièvre, Tony; Le Bris, Claude; Vanden-Eijnden, Eric
5
2008
New entropy estimates for the Oldroyd-B model and related models. Zbl 1137.35318
Hu, D.; Lelièvre, T.
18
2007
Computation of free energy differences through nonequilibrium stochastic dynamics: The reaction coordinate case. Zbl 1197.82087
Lelièvre, Tony; Rousset, Mathias; Stoltz, Gabriel
15
2007
Diffusion Monte Carlo method: numerical analysis in a simple case. Zbl 1135.81379
El Makrini, Mohamed; Jourdian, Benjamin; Lelièvre, Tony
6
2007
Adaptive models for polymeric fluid flow simulation. Zbl 1111.76004
Ern, Alexandre; Lelièvre, Tony
3
2007
Mathematical methods for the magnetohydrodynamics of liquid metals. Zbl 1107.76001
Gerbeau, Jean-Frédéric; Le Bris, Claude; Lelièvre, Tony
85
2006
Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix
34
2006
Quantum Monte Carlo simulations of fermions: a mathematical analysis of the fixed-node approximation. Zbl 1098.81095
Cancès, Eric; Jourdain, Benjamin; Lelièvre, Tony
7
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
2
2005
An elementary argument regarding the long-time behavior of the solution to a stochastic differential equation. Zbl 1120.76003
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony
1
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
50
2004
On a variance reduction technique for micro–macro simulations of polymeric fluids. Zbl 1143.76333
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony
12
2004
Optimal error estimate for the CONNFFESSIT approach in a simple case. Zbl 1100.76540
Lelièvre, T.
1
2004
Modeling and simulation of the industrial production of aluminium: The nonlinear approach. Zbl 1100.76536
Gerbeau, J.-F.; Lelièvre, T.; Le Bris, C.
1
2004
Simulations of MHD flows with moving interfaces. Zbl 1118.76359
Gerbeau, J.-F.; Lelièvre, T.; Le Bris, C.
15
2003
Mathematical analysis of a stochastic differential equation arising in the micro-macro modelling of polymeric fluids. Zbl 1081.76006
Jourdain, Benjamin; Lelièvre, Tony
14
2003
Numerical analysis of micro-macro simulations of polymeric fluid flows: A simple case. Zbl 1041.76003
Jourdain, Benjamin; Lelièvre, Tony; Le Bris, Claude
17
2002
all top 5

Cited by 823 Authors

47 Lelièvre, Tony
20 Stoltz, Gabriel
14 He, Yinnian
13 Nouy, Anthony
12 Süli, Endre E.
11 Zhang, Guodong
10 Le Bris, Claude
9 Barrett, John W.
9 Jourdain, Benjamin
9 Pavliotis, Grigorios A.
9 Wu, Shulin
8 Masmoudi, Nader
8 Rousset, Mathias
6 Boyaval, Sébastien
6 Chen, Peng
5 Ammar, Amine
5 Bréhier, Charles-Edouard
5 Chinesta, Francisco
5 Ehrlacher, Virginie
5 Ern, Alexandre
5 Falcó, Antonio
5 Feng, Xinlong
5 Fort, Gersende
5 Legoll, Frédéric
5 Ottobre, Michela
5 Razafimandimby, Paul André
5 Samaey, Giovanni
5 Sharma, Upanshu
5 Vanden-Eijnden, Eric
4 Alrachid, Houssam
4 Aristoff, David
4 Cancès, Eric
4 Casenave, Fabien
4 Chupin, Laurent
4 Ciuperca, Ionel Sorin
4 Del Moral, Pierre
4 Dong, Xiaojing
4 Duncan, Andrew B.
4 Duong, Manh Hong
4 Efendiev, Yalchin R.
4 Ferré, Grégoire
4 He, Xiaoming
4 Hou, Thomas Yizhao
4 Koutsourelakis, Phaedon-Stelios
4 Lukáčová-Medvid’ová, Mária
4 Mizerová, Hana
4 Nectoux, Boris
4 Quarteroni, Alfio M.
4 Roberts, Gareth O.
4 Su, Haiyan
4 Trstanova, Zofia
4 Yang, Jinjin
4 Yang, Xiaofeng
4 Zhang, Mingji
4 Zhang, Pingwen
4 Zhang, Zhifei
3 An, Rong
3 Bachmayr, Markus
3 Benner, Peter
3 Bierkens, Joris
3 Bittracher, Andreas
3 Bou-Rabee, Nawaf M.
3 Bouchet, Freddy
3 Constantin, Peter
3 Di Gesù, Giacomo
3 Durmus, Alain
3 Elman, Howard C.
3 Fan, Jishan
3 Fumagalli, Ivan
3 Gallagher, Isabelle
3 Giraldi, Loïc
3 Gunzburger, Max D.
3 Hartmann, Carsten
3 Heibig, Arnaud
3 Khoromskij, Boris N.
3 Knezevic, David J.
3 Le Peutrec, Dorian
3 Leimkuhler, Benedict J.
3 Li, Fucai
3 Li, Tiejun
3 Li, Yuan
3 Lin, Fang Hua
3 Manna, Utpal
3 Mao, Shipeng
3 Monmarché, Pierre
3 Moulines, Eric
3 Mukherjee, Debopriya
3 Nguyen, Ngoc Cuong
3 Palade, Liviu-Iulian
3 Parolini, Nicola
3 Peherstorfer, Benjamin
3 Peletier, Mark Adriaan
3 Rozza, Gianluigi
3 Sango, Mamadou
3 Schneider, Reinhold
3 Schötzau, Dominik
3 Schütte, Christof
3 Schwab, Christoph
3 Soize, Christian
3 Spiliopoulos, Konstantinos V.
...and 723 more Authors
all top 5

Cited in 145 Serials

50 Journal of Computational Physics
21 Computer Methods in Applied Mechanics and Engineering
20 Journal of Statistical Physics
20 Journal of Scientific Computing
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Journal of Computational and Applied Mathematics
13 SIAM Journal on Scientific Computing
12 Multiscale Modeling & Simulation
11 Journal of Differential Equations
11 SIAM Journal on Mathematical Analysis
11 Statistics and Computing
9 Archive for Rational Mechanics and Analysis
9 Computers & Mathematics with Applications
9 SIAM/ASA Journal on Uncertainty Quantification
8 Journal of Mathematical Analysis and Applications
8 Stochastic Processes and their Applications
8 Advances in Computational Mathematics
8 Archives of Computational Methods in Engineering
7 Communications in Mathematical Physics
7 Applied Numerical Mathematics
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Mathematics of Computation
6 Numerische Mathematik
6 Discrete and Continuous Dynamical Systems. Series B
5 Journal of Fluid Mechanics
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Physica D
5 The Annals of Applied Probability
5 Foundations of Computational Mathematics
4 Computers and Fluids
4 Nonlinearity
4 Journal of Functional Analysis
4 SIAM Journal on Numerical Analysis
4 Numerical Methods for Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Kinetic and Related Models
3 BIT
3 International Journal for Numerical Methods in Engineering
3 Acta Applicandae Mathematicae
3 Applied Mathematics Letters
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 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 The Annals of Probability
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 European Journal of Applied Mathematics
2 Communications in Partial Differential Equations
2 Journal of Non-Newtonian Fluid Mechanics
2 SIAM Review
2 Journal of Nonlinear Science
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 Nonlinear Analysis. Real World Applications
2 Journal of Numerical Mathematics
2 Stochastics and Dynamics
2 SIAM Journal on Applied Dynamical Systems
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 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 Integral Equations and Operator Theory
1 Inventiones Mathematicae
1 Memoirs of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 Statistics & Probability Letters
1 Stochastic Analysis and Applications
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 SIAM Journal on Matrix Analysis and Applications
1 Computational Mathematics and Modeling
1 Numerical Algorithms
...and 45 more Serials
all top 5

Cited in 38 Fields

290 Numerical analysis (65-XX)
203 Partial differential equations (35-XX)
198 Fluid mechanics (76-XX)
155 Probability theory and stochastic processes (60-XX)
121 Statistical mechanics, structure of matter (82-XX)
54 Statistics (62-XX)
25 Mechanics of deformable solids (74-XX)
21 Biology and other natural sciences (92-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
17 Ordinary differential equations (34-XX)
15 Dynamical systems and ergodic theory (37-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Quantum theory (81-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Operator theory (47-XX)
8 Approximations and expansions (41-XX)
8 Computer science (68-XX)
8 Optics, electromagnetic theory (78-XX)
8 Systems theory; control (93-XX)
6 Functional analysis (46-XX)
6 Operations research, mathematical programming (90-XX)
4 Mechanics of particles and systems (70-XX)
4 Information and communication theory, circuits (94-XX)
3 Measure and integration (28-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Combinatorics (05-XX)
2 Real functions (26-XX)
2 Integral equations (45-XX)
2 Geophysics (86-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 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Functions of a complex variable (30-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.