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Long-time averaging for integrable Hamiltonian dynamics

Eric Cancès , François Castella , Philippe Chartier , Erwan Faou , Frédéric Legoll , et al.
Numerische Mathematik, 2005, 100 (2), pp.211--232. ⟨10.1007/s00211-005-0599-0⟩
Journal articles hal-00798337v1
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Integrators for highly oscillatory Hamiltonian systems: an homogenization approach

Claude Le Bris , Frédéric Legoll
Discrete and Continuous Dynamical Systems - Series B, 2010, 13 (2), pp.347-373
Journal articles inria-00165293v2

Periodic long-time behaviour for an approximate model of nematic polymers

Lingbing He , Claude Le Bris , Tony Lelièvre
2011
Preprints, Working Papers, ... inria-00609763v1

A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media

Claude Le Bris , Frédéric Legoll , François Madiot
ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (3), pp.851-888
Journal articles hal-01235642v1

MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems

Claude Le Bris , Frédéric Legoll , Alexei Lozinski
Chinese Annals of Mathematics - Series B, 2013, 34 (1), pp.113-138. ⟨10.1007/s11401-012-0755-7⟩
Journal articles istex hal-00789102v1

Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings

Xavier Blanc , Claude Le Bris
Networks and Heterogeneous Media, 2010, 5 (1), pp.1-29. ⟨10.3934/nhm.2010.5.1⟩
Journal articles hal-00625537v1

Low-rank numerical approximations for high-dimensional Lindblad equations

Claude Le Bris , Pierre Rouchon
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2013, 87 (2), pp.022125. ⟨10.1103/PhysRevA.87.022125⟩
Journal articles hal-00941530v1

Special Quasirandom Structures: a selection approach for stochastic homogenization

Claude Le Bris , Frédéric Legoll , William Minvielle
Monte Carlo Methods and Applications, 2016, 22 (1), pp.25-54
Journal articles hal-01194480v1

On the thermodynamic limit for Hartree-Fock type models

Isabelle Catto , Claude Le Bris , Pierre Louis Lions
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2001, 18 (6), pp.687-760
Journal articles hal-00157679v1

Symmetric parareal algorithms for Hamiltonian systems

Xiaoying Dai , Claude Le Bris , Frédéric Legoll , Yvon Maday
ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (3), pp.717-742. ⟨10.1051/m2an/2012046⟩
Journal articles hal-00541166v1

Efficient algorithms for the laboratory discovery of optimal quantum controls.

Gabriel Turinici , Claude Le Bris , Herschel Rabitz
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2004, 70 (1), pp.016704
Journal articles hal-00536565v1
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Multiscale modelling of complex fluids: A mathematical initiation.

Claude Le Bris , Tony Lelièvre
[Research Report] RR-6275, INRIA. 2007
Reports inria-00165171v3

On the long time behaviour of the solution to the two-fluids incompressible Navier-Stokes equations

Jean-Frédéric Gerbeau , Claude Le Bris
Differential and integral equations, 1999, 12 (5), pp.691-740
Journal articles hal-00701804v1

Dimension-independent Convergence Rate for Non-isotropic (1,λ)-ES

Anne Auger , Claude Le Bris , Marc Schoenauer
Proc. GECCO 2003, Jul 2003, Chicago, United States. pp.512-524
Conference papers hal-02987502v1

Well-posedness of a multiscale model for concentrated suspensions

Eric Cancès , Isabelle Catto , Yousra Gati , Claude Le Bris
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2005, 4 issue 4, pp.1041-1058
Journal articles hal-00122454v1

Atomistic to continuum limits for computational materials science

Xavier Blanc , Claude Le Bris , Pierre Louis Lions
ESAIM: Mathematical Modelling and Numerical Analysis, 2007, 41 (2), pp.391-426. ⟨10.1051/m2an:2007018⟩
Journal articles hal-00667335v1

Sur la limite thermodynamique pour des mod`eles de type Hartree et Hartree-Fock

Isabelle Catto , Claude Le Bris , Pierre Louis Lions
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1998, 327, pp.259-266
Journal articles hal-00157699v1

A reduced basis approach for some weakly stochastic multiscale problems

Claude Le Bris , Florian Thomines
Chinese Annals of Mathematics - Series B, 2012, 33 (5), pp.657-672. ⟨10.1007/s11401-012-0736-x⟩
Journal articles istex hal-01157372v1

Approximation numérique d'une classe de problèmes en homogénéisation stochastique

Ronan Costaouec , Claude Le Bris , Frédéric Legoll
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2010, 348 (1-2), pp.99--103. ⟨10.1016/j.crma.2009.10.027⟩
Journal articles hal-00524819v1
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Analysis of a quadratic programming decomposition algorithm

William Hager , Guy Bencteux , Eric Cancès , Claude Le Bris
[Research Report] RR-6288, INRIA. 2007
Reports inria-00169080v5

Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations

Claude Le Bris , Tony Lelièvre , Yvon Maday
2008
Preprints, Working Papers, ... inria-00336911v1
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Hamiltonian identification for quantum systems : well posedness and numerical approaches

Claude Le Bris , Mazyar Mirrahimi , Herschel Rabitz , Gabriel Turinici
ESAIM: Control, Optimisation and Calculus of Variations, 2007, 13 (2), pp.378-395. ⟨10.1051/cocv:2007013⟩
Journal articles hal-00798211v1
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Local profiles and elliptic problems at different scales with defects

Xavier Blanc , Claude Le Bris , Pierre Louis Lions
Comptes Rendus. Mathématique, 2015, pp.203-208. ⟨10.1016/j.crma.2015.01.003⟩
Journal articles hal-01143311v1
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Approximation locale précisée dans des problèmes multi-échelles avec défauts localisés

Xavier Blanc , Marc Josien , Claude Le Bris
Comptes Rendus. Mathématique, 2019, ⟨10.1016/j.crma.2018.12.005⟩
Journal articles hal-01893991v2

A closed-loop identification protocol (clip) for nonlinear dynamical systems

Xiao-Jiang Feng , Claude Le Bris , Herschel Rabitz , Gabriel Turinici
Journal of Physical Chemistry A, 2006, 110, pp.7755-7762. ⟨10.1021/jp056189o⟩
Journal articles istex hal-00536549v1

A numerical approach related to defect-type theories for some weakly random problems in homogenization

Arnaud Anantharaman , Claude Le Bris
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2011, 9 (2), pp.513-544. ⟨10.1137/10079639X⟩
Journal articles hal-00487759v1

Towards Reduced Basis Approaches in ab initio Electronic Structure Computations

Eric Cancès , Claude Le Bris , Yvon Maday , Gabriel Turinici
Journal of Scientific Computing, 2002, 17 (1-4), pp.461-469. ⟨10.1023/A:1015150025426⟩
Journal articles istex hal-00798475v1

Beyond multiscale and multiphysics: Multimaths for model coupling

Xavier Blanc , Claude Le Bris , Frédéric Legoll , Tony Lelièvre
Networks and Heterogeneous Media, 2010, 5 (3), pp.423--460. ⟨10.3934/nhm.2010.5.423⟩
Journal articles hal-00524822v1

Mathematical and Numerical Aspects of Quantum Chemistry Problems. Oberwolfach reports 3(4)

Maria J. Esteban , Claude Le Bris , Gustavo Scuseria
European Mathematical Society Publishing House, pp.74, 2006
Books hal-00359921v1

High-order averaging schemes with error bounds for thermodynamical properties calculations by molecular dynamics simulations.

Eric Cancès , François Castella , Philippe Chartier , Erwan Faou , Claude Le Bris , et al.
Journal of Chemical Physics, 2004, 121 (21), pp.10346-55. ⟨10.1063/1.1794611⟩
Journal articles hal-00536562v1