Bibliography
Major publications by the team in recent years
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1E. Cancès, M. Defranceschi, W. Kutzelnigg, C. Le Bris, Y. Maday.
Computational Quantum Chemistry: A Primer, 2003. -
2E. Cancès, C. Le Bris, Y. Maday.
Mathematical Methods in Quantum Chemistry. An Introduction. (Méthodes mathématiques en chimie quantique. Une introduction.), Mathématiques et Applications (Berlin) 53. Berlin: Springer. xvi, 409 p. , 2006. -
3I. Catto, C. Le Bris, P.-L. Lions.
The Mathematical Theory of Thermodynamic Limits: Thomas-Fermi Type Models., Oxford Mathematical Monographs. Oxford: Clarendon Press. xiii, 277 p., 1998. -
4J.-F. Gerbeau, C. Le Bris, T. Lelièvre.
Mathematical Methods for the Magnetohydrodynamics of Liquid Metals, Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press., 324 p., 2006. -
5C. Le Bris.
Multi-scale Analysis. Modeling and Simulation. (Systèmes multi-échelles. Modélisation et simulation.), Mathématiques et Applications (Berlin) 47. Berlin: Springer. xi, 212 p., 2005. -
6T. Lelièvre, M. Rousset, G. Stoltz.
Free Energy Computations: A Mathematical Perspective, Imperial College Press, 458 p., 2010.
Doctoral Dissertations and Habilitation Theses
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7J. A. Infante Acevedo.
Méthodes et modèles numériques appliqués aux risques du marché et à l'évaluation financière, Université Paris-Est, December 2013.
http://hal.inria.fr/tel-00937131 -
8S. Lahbabi.
Etude mathématique de modèles quantiques et classiques pour les matériaux aléatoires à l'échelle atomique, Université de Cergy Pontoise, July 2013.
http://hal.inria.fr/tel-00873213
Articles in International Peer-Reviewed Journals
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9G. Ben Arous, Y. Hu, S. Olla, O. Zeitouni.
Einstein relation for biased random walk on Galton–Watson trees, in: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2013, vol. 49, no 3, pp. 698-721, Accepted for publication. [ DOI : 10.1214/12-AIHP486 ]
http://hal.inria.fr/hal-00658664 -
10D. Benoit, L. He, C. Le Bris, T. Lelièvre.
Mathematical analysis of a one-dimensional model for an aging fluid, in: Mathematical Models and Methods in Applied Sciences, August 2013, pp. 1561-1602. [ DOI : 10.1142/S0218202513500164 ]
http://hal.inria.fr/hal-00676678 -
11X. Blanc, F. Legoll, A. Anantharaman.
Asymptotic behaviour of Green functions of divergence form operators with periodic coefficients, in: Applied Mathematics Research eXpress, 2013, vol. 2013, no 1, pp. 79-101.
http://hal.inria.fr/hal-00637489 -
12X. Blanc, F. Legoll.
A numerical strategy for coarse-graining two-dimensional atomistic models at finite temperature: the membrane case, in: Computational Materials Science, 2013, vol. 66, pp. 84-95.
http://hal.inria.fr/hal-00627294 -
13F. Bouchut, S. Boyaval.
A new model for shallow viscoelastic fluids, in: Mathematical Models and Methods in Applied Sciences, January 2013, vol. 23, no 8, pp. 1479-1526, Part of this work was completed while Sebastien Boyaval was an academic host at MATHICSE- ASN chair (EPFL). SB would like to thank Prof. Marco Picasso and Prof. Jacques Rappaz for this invitation. [ DOI : 10.1142/S0218202513500140 ]
http://hal.inria.fr/hal-00628651 -
14C. L. Bris, P. Rouchon.
Low-rank numerical approximations for high-dimensional Lindblad equations, in: Physical Review A, February 2013, vol. 87, no 2, 19 p. [ DOI : 10.1103/PhysRevA.87.022125 ]
http://hal.inria.fr/hal-00941530 -
15A. Caboussat, S. Boyaval, A. Masserey.
On the Modeling and Simulation of Non-Hydrostatic Dam Break Flows, in: Computing and Visualization in Science, June 2013, pp. ISSN 1432-9360. [ DOI : 10.1007/s00791-013-0190-7 ]
http://hal.inria.fr/hal-00808087 -
16E. Cancès, S. Lahbabi, M. Lewin.
Mean-field models for disordered crystals, in: Journal de Mathématiques Pures et Appliquées, August 2013, vol. 100, no 2, pp. 241-274.
http://hal.inria.fr/hal-00675594 -
17E. Cancès, C. Le Bris.
Mathematical modeling of point defects in materials science, in: Mathematical Models and Methods in Applied Sciences, 2013, vol. 23, no 10, 1795 p. [ DOI : 10.1142/S0218202513500528 ]
http://hal.inria.fr/hal-00916157 -
18E. Cancès, Y. Maday, B. Stamm.
Domain decomposition for implicit solvation models, in: The Journal of Chemical Physics, 2013, vol. 139. [ DOI : 10.1063/1.4816767 ]
http://hal.inria.fr/hal-00916139 -
19F. Cérou, A. Guyader, T. Lelièvre, F. Malrieu.
On the length of one-dimensional reactive paths, in: ALEA. Latin American Journal of Probability and Mathematical Statistics, 2013, vol. 10, no 1, pp. 359-389.
http://hal.inria.fr/hal-00704704 -
20I. Dabo, A. Ferretti, C.-H. Park, N. Poilvert, Y. Li, M. Cococcioni, N. Marzari.
Donor and acceptor levels of organic photovoltaic compounds from first principles, in: Physical Chemistry Chemical Physics, January 2013, vol. 15, pp. 685-695. [ DOI : 10.1039/C2CP43491A ]
http://hal.inria.fr/hal-00749316 -
21X. Dai, C. Le Bris, F. Legoll, Y. Maday.
Symmetric parareal algorithms for Hamiltonian systems, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2013, vol. 47, no 3, pp. 717-742.
http://hal.inria.fr/hal-00541166 -
22M. Dobson, C. L. Bris, F. Legoll.
Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case, in: IMA Journal of Numerical Analysis, 2013, vol. 33, no 1, pp. 30-56.
http://hal.inria.fr/hal-00524814 -
23M. Dobson, F. Legoll, T. Lelièvre, G. Stoltz.
Derivation of Langevin Dynamics in a nonzero Background Flow Field, in: ESAIM: Mathematical Modelling and Numerical Analysis, November 2013, vol. 47, no 6, pp. 1583-1626. [ DOI : 10.1051/m2an/2013077 ]
http://hal.inria.fr/hal-00680278 -
24S. Lahbabi, F. Legoll.
Effective dynamics for a kinetic Monte-Carlo model with slow and fast time scales, in: Journal of Statistical Physics, 2013, vol. 153, no 6, pp. 931-966.
http://hal.inria.fr/hal-00772489 -
25C. Le Bris, F. Legoll, K. Li.
Approximation grossière d'un problème elliptique à coefficients hautement oscillants (Coarse approximation of an elliptic problem with highly oscillatory coefficients), in: C. R. Acad. Sci. Paris, Série I, 2013, vol. 351, no 7-8, pp. 265-270.
http://hal.inria.fr/hal-00834895 -
26C. Le Bris, F. Legoll, K. Li.
Coarse approximation of an elliptic problem with highly oscillatory coefficients [Approximation grossière d'un problème elliptique à coefficients hautement oscillants], in: Comptes Rendus Mathématique, 2013, vol. 351, no 41858, pp. 265-270. [ DOI : 10.1016/j.crma.2013.04.008 ]
http://hal.inria.fr/hal-00946077 -
27C. Le Bris, F. Legoll, A. Lozinski.
MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems, in: Chinese Annals of Mathematics, Series B, 2013, vol. 34, no 1, pp. 113-138. [ DOI : 10.1007/s11401-012-0755-7 ]
http://hal.inria.fr/hal-00789102 -
28F. Legoll, T. Lelievre, G. Samaey.
A micro-macro parareal algorithm: application to singularly perturbed ordinary differential equations, in: SIAM Journal on Scientific Computing, 2013, vol. 35, no 4.
http://hal.inria.fr/hal-00691939 -
29T. Lelièvre, F. Nier, G. A. Pavliotis.
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion, in: Journal of Statistical Physics, 2013, vol. 152, no 2, pp. 237-274. [ DOI : 10.1007/s10955-013-0769-x ]
http://hal.inria.fr/hal-00761688 -
30M. Rousset, G. Samaey.
Individual-based models for bacterial chemotaxis in the diffusion asymptotics, in: Mathematical Models and Methods in Applied Sciences, 2013.
http://hal.inria.fr/inria-00425065 -
31M. Rousset, G. Samaey.
Simulating individual-based models of bacterial chemotaxis with asymptotic variance reduction, in: Mathematical Models and Methods in Applied Sciences, 2013.
http://hal.inria.fr/hal-00643324 -
32E. Tadmor, F. Legoll, W. Kim, L. Dupuy, R. Miller.
Finite-Temperature Quasi-Continuum, in: Applied Mechanics Reviews, 2013, vol. 65, no 1. [ DOI : 10.1115/1.4023013 ]
http://hal.inria.fr/hal-00849048
Other Publications
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33D. Aristoff, T. Lelièvre.
Mathematical Analysis of Temperature Accelerated Dynamics, 2013, 27 p.
http://hal.inria.fr/hal-00827263 -
34D. Benoit, C. L. Bris, T. Lelièvre.
Analysis and macroscopic limit of a one-dimensional model for aging fluids, 2013.
http://hal.inria.fr/hal-00873577 -
35F. Bouchut, S. Boyaval.
Unified formal reduction for fluid models of free-surface shallow gravity-flows, 2013.
http://hal.inria.fr/hal-00833468 -
36S. Boyaval, M. Picasso.
A posteriori analysis of Chorin-Temam scheme for Stokes equations, October 2013.
http://hal.inria.fr/hal-00876069 -
37C. L. Bris, F. Legoll, A. Lozinski.
An MsFEM type approach for perforated domains, 2013.
http://hal.inria.fr/hal-00841308 -
38E. Cancès, V. Ehrlacher, T. Lelièvre.
Greedy algorithms for high-dimensional eigenvalue problems, 2013, 33 p.
http://hal.inria.fr/hal-00809855 -
39L. Cao, M.-C. Marinica, G. Stoltz, T. Lelièvre, M. Athènes.
Using Bayes formula to average the biasing forces and recover free energies in adaptive Monte Carlo simulations, 2013, 5 p.
http://hal.inria.fr/hal-00870892 -
40F. Casenave, A. Ern, T. Lelièvre, G. Sylvand.
A nonintrusive method to approximate linear systems with nonlinear parameter dependence, 2013, 17 p.
http://hal.inria.fr/hal-00845822 -
41Y. Efendiev, C. Kronsbein, F. Legoll.
Multi-Level Monte Carlo approaches for numerical homogenization, 2013.
http://hal.inria.fr/hal-00776287 -
42V. Ehrlacher, C. Ortner, A. V. Shapeev.
Analysis of Boundary Conditions for Crystal Defect Atomistic Simulations, 2013.
http://hal.inria.fr/hal-00916886 -
43G. Faure, J.-B. Maillet, G. Stoltz.
Local density dependent potential for compressible mesoparticles, 2013.
http://hal.inria.fr/hal-00870895 -
44G. Fort, B. Jourdain, E. Kuhn, T. Lelièvre, G. Stoltz.
Efficiency of the Wang-Landau algorithm: a simple test case, 2013.
http://hal.inria.fr/hal-00877572 -
45J. A. Infante Acevedo, T. Lelievre.
A non linear approximation method for solving high dimensional partial differential equations: Application in Finance, 2013.
http://hal.inria.fr/hal-00861892 -
46S. Lahbabi.
The reduced Hartree-Fock model for short-range quantum crystals with defects, 2013.
http://hal.inria.fr/hal-00797094 -
47F. Legoll, W. Minvielle.
Variance reduction using antithetic variables for a nonlinear convex stochastic homogenization problem, 2013.
http://hal.inria.fr/hal-00784187 -
48B. Leimkuhler, C. Matthews, G. Stoltz.
The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics, 2013.
http://hal.inria.fr/hal-00854791 -
49T. Lelièvre, F. Nier.
Low temperature asymptotics for Quasi-Stationary Distributions in a bounded domain, 2013.
http://hal.inria.fr/hal-00862624 -
50M. Rousset.
Scalable and Quasi-Contractive Markov Coupling of Maxwell Collision, 2013, 29 p.
http://hal.inria.fr/hal-00915495