Tony LELIEVRE
- Organisation : Ecole des Ponts ParisTech
- Laboratoire : CERMICS
- Projet : Simulation
moléculaire et multi-échelle
- Téléphone : 33 (0)1 64 15 35 28
- Fax : 33 (0)1 64 15 35 86
- E-mail :

- Bureau : B304, bâtiment Coriolis
- Courrier :
CERMICS - Ecole des Ponts ParisTech
6 et 8 avenue Blaise Pascal
Cité Descartes - Champs sur Marne
77455 Marne la Vallée Cedex 2 (FRANCE)
English
version
Je suis actuellement chercheur au CERMICS et professeur à l'Ecole des Ponts
ParisTech.
Je suis membre du Groupe de
simulation
moléculaire et multi-échelle au CERMICS et du projet Matherials
de l'INRIA.
Je suis coordinateur du projet ERC MSMath.
Voici mon cv (pdf).
J'ai soutenu mon Habilitation à Diriger des Recherches le 3 juin 2009 (résumé, mémoire). Sujet : Analyse mathématique et numérique de modèles pour les matériaux, de l'échelle microscopique à l'échelle macroscopique.
Pendant l'année 2004-2005, j'étais en post-doc au Centre
de Recherches Mathématiques à l'Université de
Montréal, dans le cadre d'une année thématique sur
les
mathématiques de la modélisation multiéchelle et
stochastique.
J'ai soutenu ma thèse le 21 juin 2004 (résumé, mémoire). Sujet : Modèles multi-échelles pour les fluides
viscoélastiques. Direction de thèse : Benjamin
Jourdain et Claude
Le Bris.
Centres d'intérêts principaux
- Modèles micro-macro pour les fluides
viscoélastiques (modèle des dumbbells, méthode
CONNFFESSIT, méthodes de réduction de variance,
estimées d'entropie).
- Ecoulements à surface libre et
magnétohydrodynamique. Application à la simulation des
cuves
d'électrolyse de l'aluminium (méthode Arbitrary Lagrangian Eulerian, moving contact line problem).
- Simulation moléculaire (dynamique moléculaire,
dynamiques avec contraintes, méthodes adaptatives,
méthodes Quantum Monte Carlo, Adaptive Multilevel Splitting, Accelerated Molecular Dynamics).
Enseignement
- Professeur chargé de cours à temps partiel à l'Ecole Polytechnique
- Professeur à l'Ecole des Ponts ParisTech
- Responsable des projets MOPSI (Modéliser Programmer Simuler)
Exposés introductifs et vidéos
- Cours :
- CEMRACS 2008 : Multiscale modelling of complex fluids: a mathematical initiation, exposé, notes de cours.
- Ecole doctorale ECODOQUI 2008 : Monte Carlo methods in molecular dynamics, exposé, notes de cours.
- Workshop stress tensor effects on fluid mechanics, China, 2010 : Multiscale modelling of complex fluids: a mathematical initiation, exposé, notes de cours.
- Cornell University, 2010 : Free energy calculations, exposé.
- IPAM tutorial, 2012 : Monte Carlo methods in molecular dynamics part 1 part 2.
- ICMS tutorial, 2014: Numerical methods in molecular dynamics, or what is a metastable stochastic process ? pdf.
- Computational Toolbox Winterschool 2016, Engelberg: Numerical methods in molecular dynamics, part 1 part 2.
- GDR Egrin, 4ème école, Mai 2016: Model reduction techniques for stochastic dynamics, pdf.
- RICAM school, December 2016, Linz: SDEs in large dimension and numerical methods, part 1 part 2.
- INRIA (la demi-heure de science), 8 novembre 2012 : Méthodes numériques en dynamique moléculaire.
- Horizons Maths 2012, 19 décembre 2012 : Méthodes numériques en dynamique moléculaire.
- Collège de France, 9 janvier 2015 : Processus stochastiques métastables et distributions quasi-stationnaires.
- HIM, 29 janvier 2015 : Optimal scaling for the transient phase of Metropolis Hastings algorithms.
- BIRS, 24 juillet 2015 : Accelerated dynamics.
- Newton Institute, 3 décembre 2015 : The parallel replica algorithm: mathematical foundations and recent developments.
- Université de Genève, 1er février 2017 : Accelerated dynamics and transition state theory.
- ICTS, août 2017 : Algorithms for computational statistical physics: a mathematical viewpoint part 1, part 2.
- IPAM, 16 octobre 2017: Metastability: a journey from stochastic processes to semiclassical analysis .
Evènements
- Workshop "Numerical methods in molecular simulation", Bonn, April 7-11th 2008.
- Workshop "Rheology of complex fluids: modeling and numerics", Ecole des Ponts, January 5-9th 2009.
- Workshop "Hybrid simulations of dynamical systems and applications to molecular dynamics", Institut Henri Poincaré, 27 septembre - 30 septembre 2010.
- Minisymposium "Numerical Methods for Molecular Dynamics", ENUMATH 2011 conference, September 5-9th 2011, slides.
- Workshop "Metastability and stochastic processes", Ecole des Ponts, September 21st-23rd 2011.
- CECAM workshop "Free energy calculations: From theory to applications", Ecole des Ponts, June 4th-8th 2012: CECAM webpage, local webpage.
- CEMRACS 2013: Modelling and simulation of complex systems: stochastic and deterministic approaches. Co-organized with Nicolas Champagnat and Anthony Nouy. The proceedings are available here.
- NASPDE 2013 : Numerical Analysis of Stochastic PDEs, 10 et 11 septembre 2013. Co-organisé avec Jocelyne Erhel et Erwan Faou.
- Journées SMAI/INRIA EDP-Proba,2013-2018, Co-organisées avec Florent Malrieu.
- Workshop "Numerical methods for high-dimensional problems". Ecole des Ponts, April 14-18th 2014. Co-organized with Virginie Ehrlacher, Yvon Maday and Anthony Nouy
- Journées Inverse problems for multiscale and stochastic problems, Ecole des Ponts, October 2-3rd 2014. Co-organized with Virginie Ehrlacher, Frédéric Legoll and Karam Sab.
- MoMaS'14 conference. CIRM, November 17-20th, 2014. Co-organized with Grégoire Allaire, Clément Cancès, Alexandre Ern and Raphaèle Herbin.
- Free-energy calculations: A mathematical perspective, BIRS, Casa Matemática Oaxaca, Mexico, July 19-24th, 2015. Co-organized with Chris Chipot and Robert Skeel.
- Workshop "COmputational Statistics and MOlecular Simulation", Paris, February 2-5th, 2016. Co-organized with Arnaud Guyader and Gabriel Stoltz.
- IHP conference on "Recent developments in numerical methods for model reduction", November 7-10th 2016. Co-organized with Simona Perotto and Gianluigi Rozza.
- Workshop "Piecewise Deterministic Markov Processes and sampling", January 25-27th, 2017. Co-organized with Florent Malrieu and Pierre-André Zitt.
- Rencontre Math-Industrie "simulation moléculaire dans l’industrie pharmaceutique", 28 avril 2017. Co-organisé avec Chris Chipot et Gabriel Stoltz.
- FoCM 2017, Stochastic Computation Workshop, July 10th-12th, 2017. Co-organized with Arnulf Jentzen.
- IPAM Long Program on "Complex High-Dimensional Energy Landscapes", September 11th - December 15th 2017. Co-organized with Cecilia Clementi, Graeme Henkelman, Richard Hennig, Mitchell Luskin, Noa Marom, Petr Plechac and Christof Schuette.
- ICTS program on "Large deviation theory in statistical physics: Recent advances and future challenges", August 14th - October 13th 2017. Co-organized with Arvind Ayyer, Frank den Hollander, Abhishek Dhar, Juan P. Garrahan, Christopher Jarzynski, Manjunath Krishnapur, Sanjib Sabhapandit and Hugo Touchette.
- Workshop "Advances in Computational Statistical Physics", CIRM, September 17th-21st, 2018. Co-organized with Gabriel Stoltz and Greg Pavliotis. Link to videos.
- CECAM discussion meeting "Coarse-graining with Machine Learning in molecular dynamics". Sanofi Campus Gentilly, December 4-8th, 2018. Co-organized with Paraskevi Gkeka, Pierre Monmarché and Gabriel Stoltz.
- CECAM workshop "Learning the collective variables of biomolecular processes". INRIA Paris July 10-12th, 2019, Co-organized with Lucie Delemotte, Jérôme Hénin and Gerhard Stock.
Distinctions
Activité éditoriale
Livres
- (avec J-F. Gerbeau et C. Le Bris) Mathematical methods for
the Magnetohydrodynamics of liquid metals, 324 pp., Numerical Mathematics
and Scientific
Computation, Oxford University Press, 2006.
- (avec M. Rousset et G. Stoltz) Free energy computations: A mathematical perspective, 472 pp., Imperial College Press, 2010.
Publications dans des revues à comité de lecture
- (avec B. Jourdain et C. Le Bris) Numerical analysis of
micro-macro
simulations of polymeric fluid flows: a simple case, Mathematical
Models
and Methods in Applied Sciences, 12(9),
1205-1243, (2002).
- (avec J-F. Gerbeau et C. Le Bris) Simulations of MHD flows
with
moving
interfaces, Journal of Computational Physics, 184,
163-191, (2003).
- (avec J-F. Gerbeau et C. Le Bris) Modelling and simulation of
the
industrial
production of aluminium: the nonlinear approach, Computers
and
Fluids, 33, 801-814, (2004).
- Optimal error estimate for the CONNFFESSIT approach in a
simple
case,
Computers and Fluids, 33,
815-820, (2004).
- (avec B. Jourdain et C. Le Bris) Existence of solution for a
micro-macro
model of polymeric fluid : the FENE model, Journal of Functional
Analysis, 209, 162-193, (2004).
- (avec B. Jourdain et C. Le Bris) On a variance reduction
technique
for
micro-macro simulations of polymeric fluids, Journal of
Non-Newtonian
Fluid Mechanics, 122, 91-106,
(2004).
- (avec F. Dubois) Efficient pricing of Asian options by the
PDE
approach,
Journal of Computational Finance, 8(2),
55-64, (2005). Voir
aussi le programme
en C, implémenté dans Premia,
ainsi qu'une première version
de cet article.
- (avec J.P. Croisille, A. Ern et J. Proft) Analysis and
simulation
of
a coupled hyperbolic/parabolic model problem, Journal of Numerical
Mathematics, 13(2), 81-156,
(2005). Voir aussi les fichiers
de résultat pour les solutions de référence
- (avec B. Jourdain et C. Le Bris) An elementary argument
regarding
the
long-time behaviour of the solution to a stochastic differential
equation, Annals of Craiova University, Mathematics
and Computer Science series, 32,
39-47, (2005).
- (avec B. Jourdain, C. Le Bris et F. Otto) Long-time asymptotics of a multiscale
model for polymeric fluid flows, Archive for Rational
Mechanics and Analysis, 181(1),
97-148, (2006).
- (avec E. Cancès et B. Jourdain) Quantum Monte Carlo
simulations
of fermions. A mathematical analysis of the fixed-node approximation,
Mathematical
Models
and Methods in Applied Sciences, 16(9),
1403-1440, (2006).
- (avec M. Rousset et G. Stoltz) Computation
of free energy differences through nonequilibrium stochastic dynamics:
the reaction coordinate case, Journal of Computational Physics, 222(2), 624-643, (2007).
- (avec M. Caffarel, E. Cancès, A. Scemama et G. Stoltz) An efficient sampling algorithm for
Variational Monte Carlo, Journal of Chemical Physics, 125,
114105 (2006).
- (avec G. Ciccotti et E. Vanden-Eijnden) Projection of diffusions on submanifolds:
Application to mean force computation,
Communications on Pure and
Applied Mathematics, 61(3), 371-408, (2008).
- (avec M. El Makrini et B. Jourdain) Diffusion Monte Carlo method: numerical
analysis in a simple case, Mathematical Modelling and
Numerical Analysis, 41(2),
189-213, (2007).
- (avec M. Rousset et G. Stoltz) Computation
of free energy profiles with parallel adaptive dynamics, Journal
of Chemical Physics 126,
134111 (2007).
- (avec A. Ern) Adaptive models
for polymeric fluid flow simulation, C. R. Acad. Sci. Paris, Ser. I, 344(7), 473-476 (2007).
- (avec D. Hu) New entropy
estimates for the Oldroyd-B model, and related models, Communications
in Mathematical Sciences 5(4),
909-916 (2007).
- (avec C. Le Bris et E. Vanden-Eijnden) Analysis of some
discretization schemes for constrained Stochastic Differential Equations,
C.
R. Acad.
Sci. Paris, Ser. I, 346(7-8),
471-476 (2008).
- (avec M. Rousset et G. Stoltz) Long-time
convergence of an Adaptive
Biasing Force method, Nonlinearity, 21, 1155-1181 (2008).
- (avec E. Faou) Conservative
stochastic differential equations: Mathematical and numerical analysis, Mathematics of Computation, 78, 2047-2074 (2009).
- (avec J-F. Gerbeau) Generalized
Navier Boundary Condition and Geometric Conservation Law for surface
tension, Computer Methods in Applied Mechanics and Engineering, 198(5-8), 644-656, (2009).
- A general two-scale criteria for logarithmic Sobolev inequalities, Journal of Functional Analysis, 256(7), 2211-2221 (2009).
- (avec S. Boyaval et C. Mangoubi) Free-energy-dissipative schemes for the
Oldroyd-B model, Mathematical Modelling and
Numerical Analysis, 43, 523-561, (2009).
- (avec C. Le Bris et Y. Maday) Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations, Constructive Approximation, 30(3), 621-651, (2009).
- (avec S. Boyaval) A variance reduction method for parametrized stochastic differential equations using the reduced basis paradigm, Communications
in Mathematical Sciences, 8(3), 735-762, (2010).
- (avec B. Jourdain et R. Roux) Existence, uniqueness and convergence of a particle approximation for the Adaptive Biasing Force process, Mathematical Modelling and
Numerical Analysis, 44, 831-865, (2010).
- (avec C. Chipot et K. Minoukadeh) Potential of mean force calculations: a multiple-walker adaptive biasing force approach, Journal of Chemical Theory and Computation, 6(4), 1008-1017, (2010).
- (avec S. Boyaval, C. Le Bris, Y. Maday, N.C. Nguyen et A.T. Patera) Reduced basis techniques for stochastic problems, Archives of Computational Methods in Engineering, 17(4), 435-454, (2010).
- (avec
B. Dickson, F. Legoll, G. Stoltz et P. Fleurat-Lessard) Free energy
calculations: An efficient adaptive biasing potential method, Journal of Physical Chemistry B, 114, 5823-5830, (2010).
- (avec X. Blanc, F. Legoll et C. Le Bris) Beyond multiscale and multiphysics: Multimaths for model coupling, Networks and Heterogeneous Media, 5(3), 423-460, (2010).
- (avec V. Legat et G. Samaey) A numerical closure approach for kinetic models of polymeric fluids: exploring closure relations for FENE dumbbells, Computers and Fluids, 43, 119-133, (2011).
- (avec F. Legoll) Effective dynamics using conditional expectations, Nonlinearity, 23, 2131-2163, (2010).
- (avec F. Cérou, A. Guyader et D. Pommier) A multiple replica approach to simulate reactive trajectories, Journal of Chemical Physics, 134, 054108, (2011).
- (avec K. Minoukadeh) Long-time convergence of an Adaptive Biasing Force method : the bi-channel case, Archive for Rational
Mechanics and Analysis, 202(1), 1-34, (2011).
- (avec E. Cancès et V. Ehrlacher) Convergence of a greedy algorithm for high-dimensional convex nonlinear problems, Mathematical
Models
and Methods in Applied Sciences, 21(12), 2433-2467, (2011).
- (avec N. Chopin et G. Stoltz) Free energy methods for Bayesian inference: efficient exploration of univariate Gaussian mixture posteriors, Statistics and Computing, 22(4), 897-916, (2012).
- (avec C. Chipot) Enhanced sampling of multidimensional free-energy landscapes using adaptive biasing forces, SIAM Journal of Applied Mathematics, 71(5), 1673-1695, (2011).
- (avec A. Ern et R. Joubaud) Numerical study of a thin liquid film flowing down an inclined wavy plane, Physica D, 240(21), 1714-1723, (2011).
- (avec M. Rousset et G. Stoltz) Langevin dynamics with constraints and computation of free energy differences, Mathematics of Computation, 81(280), 2071-2125, (2012).
- (avec L. He et C. Le Bris) Periodic long-time behaviour for an approximate model of nematic polymers, Kinetic and Related Models, 5(2), 357-382, (2012).
- (avec A. Ern et R. Joubaud) Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes, Nonlinearity 25, 1635-1652, (2012).
- (avec C. Le Bris, M. Luskin et D. Perez) A mathematical formalization of the parallel replica dynamics, Monte Carlo Methods and Applications, 18(2), 119–146, (2012).
- (avec D. Benoit, L. He et C. Le Bris) Mathematical analysis of a one-dimensional model for an aging fluid, Mathematical
Models
and Methods in Applied Sciences, 23(9), 1561-1602, (2013).
- (avec M. Dobson, F. Legoll et G. Stoltz) Derivation of Langevin Dynamics in a nonzero Background Flow Field, Mathematical Modelling and
Numerical Analysis, 47(6), 1583-1626, (2013).
- (avec
F. Legoll et G. Samaey) A micro-macro parareal algorithm: application
to singularly perturbed ordinary differential equations, SIAM Journal on Scientific Computing, 35(4), A1951–A1986, (2013).
- (avec F. Cérou, A. Guyader et F. Malrieu) On the length of one-dimensional reactive paths, ALEA Latin American Journal of Probability and Mathematical Statistics, 10(2), 359-389, (2013).
- (avec F. Nier et G. Pavliotis) Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion, Journal of Statistical Physics, 152(2), 237-274, (2013).
- (avec F. Casenave et A. Ern) Accurate and online-efficient evaluation of the a posteriori error bound in the reduced basis method, Mathematical Modelling and
Numerical Analysis, 48(1), 207-229, (2014).
- (avec B. Jourdain et B. Miasojedow) Optimal scaling for the transient phase of Metropolis Hastings algorithms: the longtime behavior, Bernoulli, 20(4), 1930-1978, (2014).
- (avec G. Fort, B. Jourdain, E. Kuhn et G. Stoltz) Convergence of the Wang-Landau algorithm, Mathematics of Computation, 84(295), 2297–2327, (2015).
- (avec G. Fort, B. Jourdain, E. Kuhn et G. Stoltz) Efficiency of the Wang-Landau algorithm: a simple test case, AMRX, 2, 275-311, (2014).
- (avec M. Athènes, L. Cao, M.-C. Marinica et G. Stoltz) Free energy calculations from adaptive molecular dynamics simulations with adiabatic reweighting, Journal of Chemical Physics, 140, 104108, (2014).
- (avec D. Aristoff) Mathematical analysis of Temperature Accelerated Dynamics, SIAM Multiscale Modeling and Simulation, 12(1), 290–317, (2014).
- (avec B. Jourdain et B. Miasojedow) Optimal scaling for the transient phase of the random walk Metropolis algorithm: the mean-field limit, Annals of Applied Probability, 25(4), 2263-2300, (2015).
- (avec D. Benoit et C. Le Bris) Macroscopic limit of a one-dimensional model for aging fluids, SIAM Multiscale Modeling and Simulation, 12(3), 1335–1378, (2014).
- (avec E. Cancès et V. Ehrlacher) Greedy algorithms for high-dimensional eigenvalue problems, Constructive Approximation, 40(3), 387-423, (2014).
- (avec F. Casenave et A. Ern) A nonintrusive Reduced Basis Method applied to aeroacoustic simulations, Advances in Computational Mathematics, 1-26, (2015).
- (avec D. Aristoff et G. Simpson) The parallel replica method for simulating long trajectories of Markov chains, AMRX, 2, 332-352, (2014).
- (avec J. Comer, J.C. Gumbart, J. Hénin, A. Pohorille et C. Chipot), The adaptive biasing force method: everything you always wanted to know, but were afraid to ask, The Journal of Physical Chemistry B, 119(3), 1129-1151, (2015).
- (avec C.-E. Bréhier et M. Rousset) Analysis of Adaptive Multilevel Splitting algorithms in an idealized case, ESAIM P&S, 19, 361 - 394, (2015).
- (avec F. Nier) Low temperature asymptotics for Quasi-Stationary Distributions in a bounded domain, Analysis & PDE, 8(3), 561-628, (2015).
- (avec A. Binder et G. Simpson) A Generalized Parallel Replica Dynamics, Journal of Computational Physics, 284, 595-616, (2015).
- (avec H. Alrachid) Long-time convergence of an adaptive biasing force method: Variance reduction by Helmholtz projection, SMAI Journal of Computational Mathematics, 1, 55-82, (2015).
- (avec F. Casenave et A. Ern) Variants of the Empirical Interpolation Method: symmetric formulation, choice of norms and rectangular extension, Advances in Computational Mathematics, 41(5), 961-986, (2015).
- (avec H. Alrachid et R. Talhouk) Local and global solution for a nonlocal Fokker-Planck equation related to the adaptive biasing force process, Journal of Differential Equations, 260, 7032-7058, (2016).
- (avec G. Fort, B. Jourdain et G. Stoltz) Self-Healing Umbrella Sampling: Convergence and efficiency, Statistics and computing, 27(1), 147-168, (2017).
- (avec A.B. Duncan et G.A. Pavliotis) Variance reduction using nonreversible Langevin samplers, Journal of Statistical Physics, 163(3), 457-491, (2016).
- (avec C.-E. Bréhier, M. Gazeau, L. Goudenège et M. Rousset) Unbiasedness of some generalized Adaptive Multilevel Splitting algorithms, Annals of Applied Probability, 26(6), 3559-3601, (2016). See [arXiv:1505.02674] for a longer version of this work.
- (avec C. Mayne, K. Schulten et I. Teo) Adaptive multilevel splitting method for molecular dynamics calculation of benzamidine-trypsin dissociation time, Journal of Chemical Theory and Computation, 12(6), 2983–2989, (2016).
- (avec L. Brochard, E. Cancès, F. Legoll, G. Stoltz and I.G. Tejada) Coupling a reactive potential with a harmonic approximation for atomistic simulations of material failure, Computer Methods in Applied Mechanics and Engineering, 305, 422-440, (2016).
- (avec J. Infante Acevedo) A non linear approximation method for solving high dimensional partial differential equations: Application in Finance, Mathematics and Computers in Simulation, 143, 14-34, (2018).
- (avec G. Stoltz) Partial differential equations and stochastic methods in molecular dynamics, Acta Numerica, 25, 681-880, (2016).
- (avec G. Di Gesù, D. Le Peutrec et B. Nectoux) Jump Markov models and transition state theory: the Quasi-Stationary Distribution approach, Faraday Discussion, 195, 469-495, (2016).
- (avec J. Hénin, A. Lesage et G. Stoltz) Smoothed biasing forces yield unbiased free energies with the extended-system adaptive biasing force method, Journal of Physical Chemistry B, 121(15), 3676-3685, (2017).
- (avec F. Legoll et S. Olla) Pathwise estimates for an effective dynamics, Stochastic Processes and their Applications, 127, 2841-2863, (2017).
- (avec T. Zhao, H. Fu, X. Shao, C. Chipot et W. Cai) The Extended Generalized Adaptive Biasing Force Algorithm for Multidimensional Free-Energy Calculations, Journal of Chemical Theory and Computation, 13(4), 1566-1576, (2017).
- (avec R. Assaraf, B. Jourdain et R. Roux) Computation of sensitivities for the invariant measure of a parameter dependent diffusion, Stochastics and Partial Differential Equations: Analysis and Computations 6(2), 125-183, (2018).
- (avec G. Fort, B. Jourdain et G. Stoltz) Convergence and efficiency of adaptive importance sampling techniques with partial biasing, Journal of Statistical Physics, 171(2), 220-268 (2018).
- (avec L.Pillaud-Vivien et J. Reygner) Central Limit Theorem for stationary Fleming-Viot particle systems in finite spaces, ALEA Latin American Journal of Probability and Mathematical Statistics, 15, 1163-1182 (2018).
- (avec F. Hédin) gen.parRep:
a first implementation of the Generalized Parallel Replica dynamics for
the long time simulation of metastable biochemical systems, à paraître dans Computer Physics Communications, https://hal.archives-ouvertes.fr/hal-01832823v1. Le code est disponible sur github.
- (avec L.J.S. Lopes) Analysis of the Adaptive Multilevel Splitting method with the alanine di-peptide's isomerization, à paraître dans Journal of Computational Chemistry, https://hal.archives-ouvertes.fr/hal-01574847.
- (avec G. Di Gesù, D. Le Peutrec et B. Nectoux) Sharp asymptotics of the first exit point density, à paraître dans Annals of PDE, https://hal.archives-ouvertes.fr/hal-01548737.
Rapports de recherche / Actes de conférences
- (avec J-F. Gerbeau, C. Le Bris et N. Ligonesche) Metal
pad roll instabilities, proceeding of the 2002 TMS Annual
Meeting
and Exhibition, Light Metals, 483-487, (2002).
- (avec B. Jourdain) Mathematical analysis of a stochastic
differential
equation arising in the micro-macro modelling of polymeric fluids, Rapport
CERMICS 2002-225, Probabilistic Methods in Fluids Proceedings of
the
Swansea 2002 Workshop, Eds: I M Davies, N Jacob, A Truman, O Hassan, K
Morgan & N P Weatherill, 205-223, (2002).
- (avec J-F. Gerbeau et C. Le Bris) Numerical simulations of
two-fluids
MHD flows, Fundamental and Applied MHD. Proceedings of the Fifth
international
PAMIR Conference, I.101-I.105, (2002).
- (avec J-F. Gerbeau et C. Le Bris) Modeling and simulation of
MHD
phenomena
in aluminium reduction cells, Proceedings of the fourth
International
Conference on Electromagnetic Processing of Materials, EPM 2003,
C3-10.4, 57-62, (2003).
- (avec B. Jourdain) Convergence of a stochastic particle
approximation
of the stress tensor for the FENE-P model, Rapport
CERMICS 2004-263 .
- (avec B. Jourdain et C. Le Bris) Coupling PDEs and SDEs: the
illustrative
example of the multiscale simulation of viscoelastic flows,
in
Multiscale Methods in Science and Engineering, B. Engquist, P.
Lötstedt,
O. Runborg, eds., Lect. Notes Comput.
Sci. Eng. 44, Springer,
151-170,
(2005).
- (avec T. Tomasino, M. Le Hervet et O. Martin) Stability analysis of simplified
electrolysis cells with Mistral, proceeding of the 2006 TMS
Annual
Meeting
and Exhibition, Light Metals, 335-340, (2006).
- (avec J.-F. Gerbeau, C. Le Bris, A. Orriols et T. Tomasino) Linear versus nonlinear approaches for the
stability analysis of aluminium production cells, Proceedings de
la conférence ECCOMAS 2006.
- (avec J.-F. Gerbeau) Variational
formulation of the Generalized Navier Boundary Condition, http://hal.inria.fr/inria-00081751,
in Recent Progress in Scientific computing, SCPDE05 conference proceeding,
Eds: W Liu, M Ng and Z-C Shi, Science Press, Beijing, 2007.
- (avec Y. Achdou et O. Bokanowski) Partial differential equations in finance,
Rapport
CERMICS 2007-363, in Encyclopedia of Financial Models, Ed: F.J. Fabozzi, John Wiley and Sons Inc, 2012.
- (avec F. Legoll et G. Stoltz) Some
remarks on sampling methods in molecular dynamics, ESAIM
Proceedings, 22, 217-233,
(2008) pdf.
- (avec C. Le Bris) Multiscale
modelling of complex fluids: A mathematical initiation,
in Multiscale Modeling and Simulation in Science Series, B.
Engquist, P. Lötstedt, O. Runborg, eds., Lect. Notes Comput.
Sci. Eng. 66, Springer, p. 49-138, (2009). Pour obtenir les
programmes Matlab, me contacter.
- (avec F. Legoll) Some remarks on free energy and coarse-graining, in Numerical Analysis and Multiscale Computations, B.
Engquist, P. Lötstedt, O. Runborg, eds., Lect. Notes Comput. Sci. Eng., 82, Springer, p. 279-329, (2012).
- (avec C. Le Bris) Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics, http://hal.archives-ouvertes.fr/hal-00562325/fr/, Science China Mathematics, 55(2), p. 353-384, (2012).
- Two mathematical tools to analyze metastable stochastic processes,
in Numerical Mathematics and Advanced Applications 2011, A. Cangiani,
R.L. Davidchack, E. Georgoulis, A.N. Gorban, J. Levesley, M.V.
Tretyakov, eds., Springer, p. 791-810, (2013).
- (avec E. Cancès et V. Ehrlacher) Greedy algorithms for high-dimensional non-symmetric linear problems, ESAIM Proceedings, 41, 95-131, (2013) pdf.
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Dernière mise à jour le 7 février 2019.