## Le Bris, Claude

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 Author ID: le-bris.claude Published as: Le Bris, Claude; Le Bris, C.; LeBris, Claude; le Bris, C. more...less External Links: MGP
 Documents Indexed: 132 Publications since 1992, including 6 Books 8 Contributions as Editor Co-Authors: 69 Co-Authors with 127 Joint Publications 1,911 Co-Co-Authors
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### Co-Authors

 13 single-authored 31 Blanc, Xavier 29 Legoll, Frédéric 27 Lions, Pierre-Louis 20 Cancès, Eric 19 Lelièvre, Tony 10 Gerbeau, Jean-Frédéric 8 Maday, Yvon 7 Catto, Isabelle 6 Jourdain, Benjamin 4 Costaouec, Ronan 4 Hager, William W. 3 Anantharaman, Arnaud 3 Barrault, Maxime 3 Bencteux, Guy 3 Defranceschi, Mireille 3 Madiot, François 3 Nguyen, Ngoc Cuong 3 Patera, Anthony T. 3 Thomines, Florian 3 Turinici, Gabriel 2 Auger, Anne 2 Bandrauk, André D. 2 Ben-Haj-Yedder, Adel 2 Benoit, David 2 Boyaval, Sébastien 2 Delfour, Michel Claude 2 Dobson, Matthew 2 Gorynina, Olga Glebovna 2 Hauray, Maxime 2 He, Lingbing 2 Josien, Marc 2 Lozinski, Alexei 2 Souganidis, Panagiotis E. 1 Atabek, O. 1 Bal, Guillaume 1 Bercovier, Michel 1 Cardaliaguet, Pierre 1 Castella, François 1 Chartier, Philippe 1 Dai, Xiaoying 1 Dalibard, Anne-Laure 1 Desjardins, Benoît 1 Dion, Claude M. 1 Engquist, Bjorn E. 1 Esteban, Maria J. 1 Faou, Erwan 1 Gati, Yousra 1 Goubault, Eric 1 Hagedorn, George A. 1 Hetmaniuk, Ulrich L. 1 Kutzelnigg, Werner 1 Lasser, Caroline 1 Lemaire, Simon 1 Luskin, Mitchell 1 Mennucci, Benedetta 1 Minvielle, William 1 Mirrahimi, Mazyar 1 Otto, Felix 1 Owhadi, Houman 1 Patz, Carsten 1 Pau, George Shu Heng 1 Perez, Danny 1 Pilot, Mathieu 1 Rabitz, Herschel A. 1 Rothé, Pierre-Loïk 1 Schoenauer, Marc 1 Scuseria, Gustavo E. 1 Tomasi, Jean-Christophe 1 Vanden-Eijnden, Eric
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### Serials

 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Multiscale Modeling & Simulation 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Differential and Integral Equations 4 Communications in Partial Differential Equations 4 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Oberwolfach Reports 3 Archive for Rational Mechanics and Analysis 3 Journal of Computational Physics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Networks and Heterogeneous Media 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematics Letters 2 Asymptotic Analysis 2 Advances in Differential Equations 2 Monte Carlo Methods and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Discrete and Continuous Dynamical Systems. Series B 2 CRM Proceedings & Lecture Notes 2 Mathématiques & Applications (Berlin) 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Nonlinearity 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Calcolo 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Acta Mathematicae Applicatae Sinica. English Series 1 Constructive Approximation 1 Journal of Scientific Computing 1 Journal of Non-Newtonian Fluid Mechanics 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Analele Universității din Craiova. Seria Matematică Informatică 1 Journal of Mathematical Chemistry 1 Markov Processes and Related Fields 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Archives of Computational Methods in Engineering 1 Milan Journal of Mathematics 1 Acta Numerica 1 Handbook of Numerical Analysis 1 Communications in Computational Physics 1 Kinetic and Related Models 1 Science China. Mathematics 1 Boletín de la Sociedad Española de Matemática Aplicada. S$$\vec{\text{e}}$$MA 1 Nonlinear Analysis. Theory, Methods & Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 De Gruyter Series in Applied and Numerical Mathematics 1 Numerical Mathematics and Scientific Computation 1 Oxford Mathematical Monographs 1 Lecture Notes in Chemistry
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### Fields

 78 Partial differential equations (35-XX) 45 Numerical analysis (65-XX) 35 Quantum theory (81-XX) 32 Statistical mechanics, structure of matter (82-XX) 29 Fluid mechanics (76-XX) 23 Mechanics of deformable solids (74-XX) 18 Probability theory and stochastic processes (60-XX) 9 General and overarching topics; collections (00-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

119 Publications have been cited 1,770 times in 1,114 Documents Cited by Year
Mathematical methods for the magnetohydrodynamics of liquid metals. Zbl 1107.76001
Gerbeau, Jean-Frédéric; Le Bris, Claude; Lelièvre, Tony
2006
From molecular models to continuum mechanics. Zbl 1028.74005
Blanc, X.; Le Bris, C.; Lions, P.-L.
2002
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301
Le Bris, C.; Lions, P.-L.
2008
Existence of solution for a density-dependent magnetohydrodynamic equation. Zbl 1023.35524
Gerbeau, J.-F.; Le Bris, C.
1997
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
Renormalized solutions of some transport equations with partially $$W^{1,1}$$ velocities and applications. Zbl 1170.35364
Le Bris, C.; Lions, P.-L.
2004
From atoms to crystals: a mathematical journey. Zbl 1136.81371
Le Bris, Claude; Lions, Pierre-Louis
2005
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
Remarks on a nonhomogeneous model of magnetohydrodynamics. Zbl 1067.76097
Desjardins, B.; Le Bris, C.
1998
On the thermodynamic limit for Hartree-Fock type models. Zbl 0994.35115
Catto, I.; Le Bris, C.; Lions, P.-L.
2001
Computational quantum chemistry: a primer. Zbl 1070.81534
Cancès, Eric; Defranceschi, Mireille; Kutzelnigg, Werner; Le Bris, Claude; Maday, Yvon
2003
The mathematical theory of thermodynamic limits: Thomas-Fermi type models. Zbl 0938.81001
Catto, Isabelle; Le Bris, Claude; Lions, Pierre-Louis
1998
Long-time asymptotics of a multiscale model for polymeric fluid flows. Zbl 1089.76006
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony; Otto, Félix
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.
2009
On the convergence of SCF algorithms for the Hartree-Fock equations. Zbl 1090.65548
Cancès, Eric; Le Bris, Claude
2000
On some periodic Hartree-type models for crystals. Zbl 1005.81101
Catto, I.; Le Bris, C.; Lions, P.-L.
2002
The energy of some microscopic stochastic lattices. Zbl 1173.82308
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2007
Stochastic homogenization and random lattices. Zbl 1129.60055
Blanc, X.; Le Bris, C.; Lions, P.-L.
2007
An MsFEM type approach for perforated domains. Zbl 1316.35021
Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei
2014
Spurious velocities in the steady flow of an incompressible fluid subjected to external forces. Zbl 0893.76041
Gerbeau, J.-F.; Le Bris, C.; Bercovier, M.
1997
A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013
Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.
2009
Computational chemistry from the perspective of numerical analysis. Zbl 1119.65390
Le Bris, Claude
2005
Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics. Zbl 1330.74066
Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric
2005
On the time-dependent Hartree-Fock equations coupled with a classical nuclear dynamics. Zbl 1011.81087
Cancès, Eric; Le Bris, Claude
1999
A mathematical formalization of the parallel replica dynamics. Zbl 1243.82045
Le Bris, Claude; Lelièvre, Tony; Luskin, Mitchell; Perez, Danny
2012
Atomistic to continuum limits for computational materials science. Zbl 1144.82018
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2007
A numerical approach related to defect-type theories for some weakly random problems in homogenization. Zbl 1233.35014
Anantharaman, A.; Le Bris, C.
2011
A definition of the ground state energy for systems composed of infinitely many particles. Zbl 1035.82004
Blanc, X.; Le Bris, C.; Lions, P. L.
2003
A variant of stochastic homogenization theory for elliptic operators. (Une variante de la théorie de l’homogénéisation stochastique des opérateurs elliptiques.) Zbl 1103.35014
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2006
Elements of mathematical foundations for numerical approaches for weakly random homogenization problems. Zbl 1373.35027
Anantharaman, A.; Le Bris, C.
2012
Multiscale modelling of complex fluids: a mathematical initiation. Zbl 1157.76002
Le Bris, Claude; Lelièvre, Tony
2009
Handbook of Numerical Analysis X. Special volume: Computational chemistry. Zbl 1052.81001
2003
Symmetric parareal algorithms for Hamiltonian systems. Zbl 1269.65133
Dai, Xiaoying; Le Bris, Claude; Legoll, Frédéric; Maday, Yvon
2013
Numerical analysis of micro-macro simulations of polymeric fluid flows: A simple case. Zbl 1041.76003
Jourdain, Benjamin; Lelièvre, Tony; Le Bris, Claude
2002
Bilinear optimal control of a Schrödinger equation. (Contrôle optimal bilinéaire d’une équation de Schrödinger.) Zbl 0953.49005
Cancès, Eric; Le Bris, Claude; Pilot, Mathieu
2000
Simulations of MHD flows with moving interfaces. Zbl 1118.76359
Gerbeau, J.-F.; Lelièvre, T.; Le Bris, C.
2003
A possible homogenization approach for the numerical simulation of periodic microstructures with defects. Zbl 1255.74051
Blanc, X.; Le Bris, C.; Lions, P.-L.
2012
MsFEM à la Crouzeix-Raviart for highly oscillatory elliptic problems. Zbl 1275.35021
Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei
2013
Local profiles for elliptic problems at different scales: defects in, and interfaces between periodic structures. Zbl 1333.35003
Blanc, X.; Le Bris, C.; Lions, P.-L.
2015
A general approach for multiconfiguration methods in quantum molecular chemistry. Zbl 0837.35005
Le Bris, Claude
1994
Multiscale finite element approach for “weakly” random problems and related issues. Zbl 1300.65007
Le Bris, Claude; Legoll, Frédéric; Thomines, Florian
2014
Some results on the Thomas-Fermi-Dirac-von Weizsäcker model. Zbl 0828.49024
Le Bris, C.
1993
Periodicity of the infinite-volume ground state of a one-dimensional quantum model. Zbl 0992.82043
Blanc, X.; Le Bris, C.
2002
A coupled system arising in magnetohydrodynamics. Zbl 0959.76092
Gerbeau, J.-F.; Le Bris, C.
1999
Some numerical approaches for weakly random homogenization. Zbl 1311.74101
Le Bris, Claude
2010
Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics. Zbl 1377.76006
Le Bris, Claude; Lelièvre, Tony
2012
Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings. Zbl 1262.65115
Blanc, Xavier; Le Bris, Claude
2010
On a variance reduction technique for micro–macro simulations of polymeric fluids. Zbl 1143.76333
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony
2004
Finite-temperature coarse-graining of one-dimensional models: mathematical analysis and computational approaches. Zbl 1204.37081
Blanc, X.; Le Bris, C.; Legoll, F.; Patz, C.
2010
Mathematical modeling of point defects in materials science. Zbl 1282.35035
Cancès, Eric; Le Bris, Claude
2013
Convergence of molecular models to continuum mechanics models. (Convergence de modèles moléculaires vers des modèles de mécanique des milieux continus.) Zbl 0986.74006
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2001
Variance reduction in stochastic homogenization using antithetic variables. Zbl 1260.35260
Blanc, X.; Costaouec, R.; Le Bris, C.; Legoll, F.
2012
Special quasirandom structures: a selection approach for stochastic homogenization. Zbl 1334.35450
Le Bris, Claude; Legoll, Frédéric; Minvielle, William
2016
On correctors for linear elliptic homogenization in the presence of local defects. Zbl 1423.35092
Blanc, X.; Le Bris, C.; Lions, P.-L.
2018
Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs. Zbl 1406.35496
Le Bris, Claude; Legoll, Frédéric
2017
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
Thermodynamic limit for Thomas-Fermi type models. (Limite thermodynamique pour des modèles de type Thomas-Fermi.) Zbl 0849.35114
Catto, Isabelle; Le Bris, Claude; Lions, Pierre-Louis
1996
Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics: the convex case. Zbl 1177.65091
Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric
2007
Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry. Zbl 1330.81022
Cancès, Éric; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, George Shu Heng
2007
Variance reduction in stochastic homogenization: proof of concept, using antithetic variables. Zbl 1242.60039
Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric
2010
A reduced basis approach for some weakly stochastic multiscale problems. Zbl 1269.35002
Le Bris, Claude; Thomines, Florian
2012
On the thermodynamic limit for Hartree and Hartree-Fock type models. (Sur la limite thermodynamique pour des modèles de type Hartree et Hartree-Fock.) Zbl 0919.35142
Catto, Isabelle; Le Bris, Claude; Lions, Pierre-Louis
1998
Comparison between two numerical methods for a magnetostatic problem. Zbl 0969.78003
Gerbeau, J.-F.; Le Bris, C.
2000
Two remarks on generalized flows for ordinary differential equations. (Deux remarques sur les flots généralisés d’équations différentielles ordinaires.) Zbl 1132.34043
Hauray, Maxime; Le Bris, Claude; Lions, Pierre-Louis
2007
Variance reduction in stochastic homogenization: the technique of antithetic variables. Zbl 1245.65050
Blanc, Xavier; Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric
2012
Mathematical models and methods for ab initio quantum chemistry. Zbl 0979.00023
2000
Homogenization of a weakly randomly perturbed periodic material. (Homogénéisation d’un matériau périodique faiblement perturbé aléatoirement.) Zbl 1193.35008
Anantharaman, Arnaud; Le Bris, Claude
2010
Multilevel domain decomposition for electronic structure calculations. Zbl 1147.81021
Barrault, M.; Cancès, E.; Hager, W. W.; Le Bris, C.
2007
Mathematical study of a coupled system arising in magnetohydrodynamics. Zbl 0995.35049
Gerbeau, J.-F.; Le Bris, C.
2001
Mathematical methods in quantum chemistry. An introduction. (Méthodes mathématiques en chimie quantique. Une introduction.) Zbl 1167.81001
Cancès, Eric; Le Bris, Claude; Maday, Yvon
2006
Discrete to continuum limit for some models of stochastic lattices of atoms. (Du discret au continu pour des modèles de réseaux aléatoires d’atomes.) Zbl 1095.74006
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2006
Thomas-Fermi type theories for polymers and thin films. Zbl 1223.35263
Blanc, X.; Le Bris, C.
2000
Computing a molecule: A mathematical viewpoint. Zbl 0890.92026
Defranceschi, M.; le Bris, C.
1997
Some variance reduction methods for numerical stochastic homogenization. Zbl 1353.82006
Blanc, X.; Le Bris, C.; Legoll, F.
2016
Geometry optimization for Thomas-Fermi type theories for solids. (Optimisation de géométrie dans le cadre des théories de type Thomas-Fermi pour les cristaux périodiques.) Zbl 0932.35004
Blanc, Xavier; Le Bris, Claude
1999
Molecular simulation and related topics: some open mathematical problems. Zbl 1158.35100
Cancès, Eric; Le Bris, C.; Lions, P.-L.
2008
On the spin polarized Thomas-Fermi model with the Fermi-Amaldi correction. Zbl 0914.35112
Le Bris, Claude
1995
Hamiltonian identification for quantum systems: well-posedness and numerical approaches. Zbl 1123.93040
Le Bris, Claude; Mirrahimi, Mazyar; Rabitz, Herschel; Turinici, Gabriel
2007
Local profiles and elliptic problems at different scales with defects. (Profils locaux et problèmes elliptiques à plusieurs échelles avec défauts.) Zbl 1312.35054
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2015
A definition of interface energies using atomistic models. (D’efinition d’énergies d’interfaces à partir de modéles atomiques.) Zbl 1117.74006
Blanc, Xavier; Le Bris, Claude
2005
Long-time averaging for integrable Hamiltonian dynamics. Zbl 1084.65126
Cancès, Eric; Castella, François; Chartier, Philippe; Faou, Erwan; Le Bris, Claude; Legoll, Frédéric; Turinici, Gabriel
2005
Convergence to equilibrium of a multiscale model for suspensions. Zbl 1107.35022
Cancès, Eric; Le Bris, Claude
2006
Well-posedness of a multiscale model for concentrated suspensions. Zbl 1236.35118
Cancès, Eric; Catto, Isabelle; Gati, Yousra; Le Bris, Claude
2005
Numerical approximation of a class of problems in stochastic homogenization. (Approximation numérique d’une classe de problèmes en homogénéisation stochastique.) Zbl 1180.65166
Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric
2010
Optimal laser control of molecular systems: Methodology and results. Zbl 1017.92050
Auger, A.; Ben Haj Yedder, A.; Cances, E.; Le Bris, C.; Dion, C. M.; Keller, A.; Atabek, O.
2002
Coarse approximation of an elliptic problme with higly oscillatory coefficients. (Approximation grossière d’un problème elliptique à coefficients hautement oscillants.) Zbl 1270.35064
Le Bris, Claude; Legoll, Frédéric; Li, Kun
2013
Precised approximations in elliptic homogenization beyond the periodic setting. Zbl 1442.35091
Blanc, X.; Josien, M.; Le Bris, C.
2020
Derivation of simplectic numerical schemes for highly oscillatory Hamiltonian systems. (Dérivation de schémas numériques symplectiques pour des systèmes Hamiltoniens hautement oscillants.) Zbl 1110.65117
Le Bris, Claude; Legoll, Frédéric
2007
Symplectic schemes for highly oscillatory Hamiltonian systems: The homogenization approach beyond the constant frequency case. Zbl 1261.65131
Dobson, Matthew; Le Bris, Claude; Legoll, Frédéric
2013
On the perturbation methods for some nonlinear quantum chemistry models. Zbl 1007.81073
Cancès, Eric; Le Bris, Claude
1998
A new proof of the uniqueness of the flow for ordinary differential equations with $$BV$$ vector fields. Zbl 1227.34013
Hauray, Maxime; Le Bris, Claude
2011
Towards reduced basis approaches in ab initio electronic structure computations. Zbl 0998.81122
Cancès, Eric; LeBris, Claude; Maday, Yvon; Turinici, Gabriel
2002
Integrators for highly oscillatory Hamiltonian systems: an homogenization approach. Zbl 1259.37051
Le Bris, Claude; Legoll, Frédéric
2010
On the long time behaviour of the solution to the two-fluids incompressible Navier-Stokes equations. Zbl 1022.35038
Gerbeau, J.-F.; Le Bris, C.
1999
A numerical comparison of some multiscale finite element approaches for advection-dominated problems in heterogeneous media. Zbl 1373.65083
Le Bris, Claude; Legoll, Frédéric; Madiot, François
2017
Periodic long-time behaviour for an approximate model of nematic polymers. Zbl 1250.35031
He, Lingbing; Le Bris, Claude; Lelièvre, Tony
2012
On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators. Zbl 1419.35020
Le Bris, Claude; Legoll, Frédéric; Lemaire, Simon
2018
Homogenization theory and multiscale numerical approaches for disordered media: some recent contributions. Zbl 1331.35035
Le Bris, Claude
2014
Control theory applied to quantum chemistry: Some tracks. Zbl 0996.81116
Le Bris, Claude
2000
Local precised approximation in multiscale problems with local defects. (Approximation locale précisée dans des problèmes multi-échelles avec défauts localisés.) Zbl 1411.35024
Blanc, Xavier; Josien, Marc; Le Bris, Claude
2019
Some remarks on a coupling method for the practical computation of homogenized coefficients. Zbl 1465.35267
Gorynina, Olga; Le Bris, Claude; Legoll, Frederic
2021
Precised approximations in elliptic homogenization beyond the periodic setting. Zbl 1442.35091
Blanc, X.; Josien, M.; Le Bris, C.
2020
Local precised approximation in multiscale problems with local defects. (Approximation locale précisée dans des problèmes multi-échelles avec défauts localisés.) Zbl 1411.35024
Blanc, Xavier; Josien, Marc; Le Bris, Claude
2019
On correctors for linear elliptic homogenization in the presence of local defects: the case of advection-diffusion. Zbl 1416.35092
Blanc, X.; Le Bris, Claude; Lions, P.-L.
2019
Parabolic equations with irregular data and related issues. Applications to stochastic differential equations. Zbl 07046231
Le Bris, Claude; Lions, Pierre-Louis
2019
Multiscale finite element methods for advection-dominated problems in perforated domains. Zbl 1423.35022
Le Bris, Claude; Legoll, FreDeRic; Madiot, FrancOis
2019
On correctors for linear elliptic homogenization in the presence of local defects. Zbl 1423.35092
Blanc, X.; Le Bris, C.; Lions, P.-L.
2018
On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators. Zbl 1419.35020
Le Bris, Claude; Legoll, Frédéric; Lemaire, Simon
2018
Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs. Zbl 1406.35496
Le Bris, Claude; Legoll, Frédéric
2017
A numerical comparison of some multiscale finite element approaches for advection-dominated problems in heterogeneous media. Zbl 1373.65083
Le Bris, Claude; Legoll, Frédéric; Madiot, François
2017
Special quasirandom structures: a selection approach for stochastic homogenization. Zbl 1334.35450
Le Bris, Claude; Legoll, Frédéric; Minvielle, William
2016
Some variance reduction methods for numerical stochastic homogenization. Zbl 1353.82006
Blanc, X.; Le Bris, C.; Legoll, F.
2016
Stabilization of non-coercive problems using the invariant measure. (Stabilisation de problèmes non coercifs via une méthode numérique utilisant la mesure invariante.) Zbl 1344.65113
Le Bris, Claude; Legoll, Frédéric; Madiot, François
2016
Local profiles for elliptic problems at different scales: defects in, and interfaces between periodic structures. Zbl 1333.35003
Blanc, X.; Le Bris, C.; Lions, P.-L.
2015
Local profiles and elliptic problems at different scales with defects. (Profils locaux et problèmes elliptiques à plusieurs échelles avec défauts.) Zbl 1312.35054
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2015
An MsFEM type approach for perforated domains. Zbl 1316.35021
Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei
2014
Multiscale finite element approach for “weakly” random problems and related issues. Zbl 1300.65007
Le Bris, Claude; Legoll, Frédéric; Thomines, Florian
2014
Homogenization theory and multiscale numerical approaches for disordered media: some recent contributions. Zbl 1331.35035
Le Bris, Claude
2014
Symmetric parareal algorithms for Hamiltonian systems. Zbl 1269.65133
Dai, Xiaoying; Le Bris, Claude; Legoll, Frédéric; Maday, Yvon
2013
MsFEM à la Crouzeix-Raviart for highly oscillatory elliptic problems. Zbl 1275.35021
Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei
2013
Mathematical modeling of point defects in materials science. Zbl 1282.35035
Cancès, Eric; Le Bris, Claude
2013
Coarse approximation of an elliptic problme with higly oscillatory coefficients. (Approximation grossière d’un problème elliptique à coefficients hautement oscillants.) Zbl 1270.35064
Le Bris, Claude; Legoll, Frédéric; Li, Kun
2013
Symplectic schemes for highly oscillatory Hamiltonian systems: The homogenization approach beyond the constant frequency case. Zbl 1261.65131
Dobson, Matthew; Le Bris, Claude; Legoll, Frédéric
2013
A mathematical formalization of the parallel replica dynamics. Zbl 1243.82045
Le Bris, Claude; Lelièvre, Tony; Luskin, Mitchell; Perez, Danny
2012
Elements of mathematical foundations for numerical approaches for weakly random homogenization problems. Zbl 1373.35027
Anantharaman, A.; Le Bris, C.
2012
A possible homogenization approach for the numerical simulation of periodic microstructures with defects. Zbl 1255.74051
Blanc, X.; Le Bris, C.; Lions, P.-L.
2012
Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics. Zbl 1377.76006
Le Bris, Claude; Lelièvre, Tony
2012
Variance reduction in stochastic homogenization using antithetic variables. Zbl 1260.35260
Blanc, X.; Costaouec, R.; Le Bris, C.; Legoll, F.
2012
A reduced basis approach for some weakly stochastic multiscale problems. Zbl 1269.35002
Le Bris, Claude; Thomines, Florian
2012
Variance reduction in stochastic homogenization: the technique of antithetic variables. Zbl 1245.65050
Blanc, Xavier; Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric
2012
Periodic long-time behaviour for an approximate model of nematic polymers. Zbl 1250.35031
He, Lingbing; Le Bris, Claude; Lelièvre, Tony
2012
From the Newton equation to the wave equation in some simple cases. Zbl 1259.35163
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2012
A numerical approach related to defect-type theories for some weakly random problems in homogenization. Zbl 1233.35014
Anantharaman, A.; Le Bris, C.
2011
A new proof of the uniqueness of the flow for ordinary differential equations with $$BV$$ vector fields. Zbl 1227.34013
Hauray, Maxime; Le Bris, Claude
2011
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
Some numerical approaches for weakly random homogenization. Zbl 1311.74101
Le Bris, Claude
2010
Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings. Zbl 1262.65115
Blanc, Xavier; Le Bris, Claude
2010
Finite-temperature coarse-graining of one-dimensional models: mathematical analysis and computational approaches. Zbl 1204.37081
Blanc, X.; Le Bris, C.; Legoll, F.; Patz, C.
2010
Variance reduction in stochastic homogenization: proof of concept, using antithetic variables. Zbl 1242.60039
Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric
2010
Homogenization of a weakly randomly perturbed periodic material. (Homogénéisation d’un matériau périodique faiblement perturbé aléatoirement.) Zbl 1193.35008
Anantharaman, Arnaud; Le Bris, Claude
2010
Numerical approximation of a class of problems in stochastic homogenization. (Approximation numérique d’une classe de problèmes en homogénéisation stochastique.) Zbl 1180.65166
Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric
2010
Integrators for highly oscillatory Hamiltonian systems: an homogenization approach. Zbl 1259.37051
Le Bris, Claude; Legoll, Frédéric
2010
Beyond multiscale and multiphysics: multimaths for model coupling. Zbl 1264.82099
Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric; Lelièvre, Tony
2010
Analysis of a quadratic programming decomposition algorithm. Zbl 1208.65082
Bencteux, G.; Cancés, E.; Hager, W. W.; Le Bris, C.
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
A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013
Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.
2009
Multiscale modelling of complex fluids: a mathematical initiation. Zbl 1157.76002
Le Bris, Claude; Lelièvre, Tony
2009
Existence and uniqueness of solutions to Fokker-Planck type equations with irregular coefficients. Zbl 1157.35301
Le Bris, C.; Lions, P.-L.
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
Molecular simulation and related topics: some open mathematical problems. Zbl 1158.35100
Cancès, Eric; Le Bris, C.; Lions, P.-L.
2008
Domain decomposition and electronic structure computations: a promising approach. Zbl 1147.81022
Bencteux, Guy; Barrault, Maxime; Cancès, Eric; Hager, William W.; Le Bris, Claude
2008
The energy of some microscopic stochastic lattices. Zbl 1173.82308
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2007
Stochastic homogenization and random lattices. Zbl 1129.60055
Blanc, X.; Le Bris, C.; Lions, P.-L.
2007
Atomistic to continuum limits for computational materials science. Zbl 1144.82018
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2007
Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics: the convex case. Zbl 1177.65091
Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric
2007
Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry. Zbl 1330.81022
Cancès, Éric; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, George Shu Heng
2007
Two remarks on generalized flows for ordinary differential equations. (Deux remarques sur les flots généralisés d’équations différentielles ordinaires.) Zbl 1132.34043
Hauray, Maxime; Le Bris, Claude; Lions, Pierre-Louis
2007
Multilevel domain decomposition for electronic structure calculations. Zbl 1147.81021
Barrault, M.; Cancès, E.; Hager, W. W.; Le Bris, C.
2007
Hamiltonian identification for quantum systems: well-posedness and numerical approaches. Zbl 1123.93040
Le Bris, Claude; Mirrahimi, Mazyar; Rabitz, Herschel; Turinici, Gabriel
2007
Derivation of simplectic numerical schemes for highly oscillatory Hamiltonian systems. (Dérivation de schémas numériques symplectiques pour des systèmes Hamiltoniens hautement oscillants.) Zbl 1110.65117
Le Bris, Claude; Legoll, Frédéric
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
A variant of stochastic homogenization theory for elliptic operators. (Une variante de la théorie de l’homogénéisation stochastique des opérateurs elliptiques.) Zbl 1103.35014
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2006
Mathematical methods in quantum chemistry. An introduction. (Méthodes mathématiques en chimie quantique. Une introduction.) Zbl 1167.81001
Cancès, Eric; Le Bris, Claude; Maday, Yvon
2006
Discrete to continuum limit for some models of stochastic lattices of atoms. (Du discret au continu pour des modèles de réseaux aléatoires d’atomes.) Zbl 1095.74006
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2006
Convergence to equilibrium of a multiscale model for suspensions. Zbl 1107.35022
Cancès, Eric; Le Bris, Claude
2006
From atoms to crystals: a mathematical journey. Zbl 1136.81371
Le Bris, Claude; Lions, Pierre-Louis
2005
Computational chemistry from the perspective of numerical analysis. Zbl 1119.65390
Le Bris, Claude
2005
Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics. Zbl 1330.74066
Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric
2005
A definition of interface energies using atomistic models. (D’efinition d’énergies d’interfaces à partir de modéles atomiques.) Zbl 1117.74006
Blanc, Xavier; Le Bris, Claude
2005
Long-time averaging for integrable Hamiltonian dynamics. Zbl 1084.65126
Cancès, Eric; Castella, François; Chartier, Philippe; Faou, Erwan; Le Bris, Claude; Legoll, Frédéric; Turinici, Gabriel
2005
Well-posedness of a multiscale model for concentrated suspensions. Zbl 1236.35118
Cancès, Eric; Catto, Isabelle; Gati, Yousra; Le Bris, Claude
2005
Coupling PDEs and SDEs: the illustrative example of the multiscale simulation of viscoelastic flows. Zbl 1077.76004
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, 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
Multi-scale analysis. Modeling and simulation. (Systèmes multi-échelles. Modélisation et simulation.) Zbl 1109.76002
Le Bris, Claude
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
Renormalized solutions of some transport equations with partially $$W^{1,1}$$ velocities and applications. Zbl 1170.35364
Le Bris, C.; Lions, P.-L.
2004
On a variance reduction technique for micro–macro simulations of polymeric fluids. Zbl 1143.76333
Jourdain, Benjamin; Le Bris, Claude; Lelièvre, Tony
2004
Mathematical remarks on the optimized effective potential problem. Zbl 1224.35102
Ben-Haj-Yedder, Adel; Cances, Eric; Le Bris, Claude
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
Computational quantum chemistry: a primer. Zbl 1070.81534
Cancès, Eric; Defranceschi, Mireille; Kutzelnigg, Werner; Le Bris, Claude; Maday, Yvon
2003
A definition of the ground state energy for systems composed of infinitely many particles. Zbl 1035.82004
Blanc, X.; Le Bris, C.; Lions, P. L.
2003
Handbook of Numerical Analysis X. Special volume: Computational chemistry. Zbl 1052.81001
2003
Simulations of MHD flows with moving interfaces. Zbl 1118.76359
Gerbeau, J.-F.; Lelièvre, T.; Le Bris, C.
2003
Quantum control: Mathematical and numerical challenges. CRM workshop, October 6–11, 2002, Montréal, Canada. Zbl 1030.00043
2003
From molecular models to continuum mechanics. Zbl 1028.74005
Blanc, X.; Le Bris, C.; Lions, P.-L.
2002
On some periodic Hartree-type models for crystals. Zbl 1005.81101
Catto, I.; Le Bris, C.; Lions, P.-L.
2002
Numerical analysis of micro-macro simulations of polymeric fluid flows: A simple case. Zbl 1041.76003
Jourdain, Benjamin; Lelièvre, Tony; Le Bris, Claude
2002
Periodicity of the infinite-volume ground state of a one-dimensional quantum model. Zbl 0992.82043
Blanc, X.; Le Bris, C.
2002
Optimal laser control of molecular systems: Methodology and results. Zbl 1017.92050
Auger, A.; Ben Haj Yedder, A.; Cances, E.; Le Bris, C.; Dion, C. M.; Keller, A.; Atabek, O.
2002
Towards reduced basis approaches in ab initio electronic structure computations. Zbl 0998.81122
Cancès, Eric; LeBris, Claude; Maday, Yvon; Turinici, Gabriel
2002
Characterization of functions on $$\mathbb{R}^3$$ with bounded Newtonian potential. (Caractérisation des fonctions de $$\mathbb{R}^3$$ à potentiel newtonien borné.) Zbl 0995.35028
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2002
Numerical approaches for molecular simulation. (Problématiques numériques pour la simulation moléculaire.) Zbl 1056.81087
Le Bris, Claude
2002
On the thermodynamic limit for Hartree-Fock type models. Zbl 0994.35115
Catto, I.; Le Bris, C.; Lions, P.-L.
2001
Convergence of molecular models to continuum mechanics models. (Convergence de modèles moléculaires vers des modèles de mécanique des milieux continus.) Zbl 0986.74006
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis
2001
Mathematical study of a coupled system arising in magnetohydrodynamics. Zbl 0995.35049
Gerbeau, J.-F.; Le Bris, C.
2001
On the convergence of SCF algorithms for the Hartree-Fock equations. Zbl 1090.65548
Cancès, Eric; Le Bris, Claude
2000
Bilinear optimal control of a Schrödinger equation. (Contrôle optimal bilinéaire d’une équation de Schrödinger.) Zbl 0953.49005
Cancès, Eric; Le Bris, Claude; Pilot, Mathieu
2000
Comparison between two numerical methods for a magnetostatic problem. Zbl 0969.78003
Gerbeau, J.-F.; Le Bris, C.
2000
Mathematical models and methods for ab initio quantum chemistry. Zbl 0979.00023
2000
...and 19 more Documents
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### Cited by 1,444 Authors

 58 Le Bris, Claude 29 Lelièvre, Tony 27 Legoll, Frédéric 26 Cancès, Eric 23 Ortner, Christoph 22 Blanc, Xavier 18 Lions, Pierre-Louis 17 He, Yinnian 17 Lewin, Mathieu 16 Luskin, Mitchell 16 Süli, Endre E. 15 Lu, Jianfeng 14 Chung, Tsz Shun Eric 14 Efendiev, Yalchin R. 14 Zhang, Guodong 12 Chinesta, Francisco 12 E, Weinan 12 Röckner, Michael 12 Shaposhnikov, Stanislav V. 11 Nouy, Anthony 11 Wu, Shulin 10 Bogachev, Vladimir Igorevich 10 Braides, Andrea 10 Ehrlacher, Virginie 9 Barrett, John William 9 Cicalese, Marco 9 Jabin, Pierre-Emmanuel 9 Mao, Shipeng 8 Dobson, Matthew 8 Gloria, Antoine 8 Luo, Dejun 8 Maday, Yvon 8 Masmoudi, Nader 8 Schmidt, Bernd 8 Su, Haiyan 8 Vasilyeva, Maria V. 7 Beauchard, Karine 7 Chen, Peng 7 Ding, Qianqian 7 Feng, Xinlong 7 Linke, Alexander 7 Nguyen, Ngoc Cuong 7 Shapeev, Alexander V. 7 Wang, Jun 6 Alicandro, Roberto 6 Ammar, Amine 6 An, Rong 6 Boyaval, Sébastien 6 Chen, Huajie 6 Fan, Jishan 6 Khoromskiĭ, Boris Nikolaevich 6 Komech, Alexander Ilich 6 Lahbabi, Salma 6 Quarteroni, Alfio M. 6 Rozza, Gianluigi 6 Schneider, Reinhold 6 Yang, Xiaofeng 6 Zhou, Aihui 5 Ambrosio, Luigi 5 Bardos, Claude Williams 5 Baudouin, Lucie 5 Borzì, Alfio 5 Chamoin, Ludovic 5 Ciuperca, Ionel Sorin 5 Cueto, Elias 5 Dong, Xiaojing 5 Gerbeau, Jean-Frédéric 5 He, Xiaoming 5 Leung, Wingtat 5 Li, Yongsheng 5 Mauser, Norbert Julius 5 Nectoux, Boris 5 Panasenko, Grigory P. 5 Patera, Anthony T. 5 Samaey, Giovanni 5 Schwab, Christoph 5 Sharma, Basant Lal 5 Stoltz, Gabriel 5 Theil, Florian 5 Yang, Jinjin 5 Yin, Zhaoyang 5 Zhai, Xiaoping 5 Zhang, Zhifei 5 Zhong, Xin 4 Abdulle, Assyr 4 Amirat, Youcef Aït 4 Bétermin, Laurent 4 Braun, Julian 4 Catto, Isabelle 4 Chupin, Laurent 4 Ciaramella, Gabriele 4 Ern, Alexandre 4 Gontier, David 4 Hou, Thomas Yizhao 4 Huang, Pengzhan 4 Jourdain, Benjamin 4 Knezevic, David J. 4 Kopylova, Elena A. 4 Le Peutrec, Dorian 4 Lemaire, Simon ...and 1,344 more Authors
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### Cited in 226 Serials

 56 Archive for Rational Mechanics and Analysis 55 Journal of Computational Physics 45 Computer Methods in Applied Mechanics and Engineering 34 Journal of Differential Equations 34 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 34 Multiscale Modeling & Simulation 31 Journal of Scientific Computing 31 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 26 Journal of Mathematical Analysis and Applications 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 19 SIAM Journal on Mathematical Analysis 18 Journal of Computational and Applied Mathematics 18 SIAM Journal on Scientific Computing 17 Communications in Mathematical Physics 15 Computers & Mathematics with Applications 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Numerische Mathematik 15 Applied Numerical Mathematics 14 Journal of Mathematical Physics 14 Communications in Partial Differential Equations 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Calculus of Variations and Partial Differential Equations 12 Journal of Functional Analysis 11 Archives of Computational Methods in Engineering 10 Journal of the Mechanics and Physics of Solids 9 Applicable Analysis 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Applied Mathematics and Computation 9 Advances in Computational Mathematics 8 Journal of Statistical Physics 8 Mathematics of Computation 8 Foundations of Computational Mathematics 7 Mathematical Methods in the Applied Sciences 7 Nonlinearity 7 Computational Mechanics 7 Applied Mathematics Letters 7 Journal of Nonlinear Science 7 Nonlinear Analysis. Real World Applications 6 Computers and Fluids 6 International Journal for Numerical Methods in Engineering 6 SIAM Journal on Numerical Analysis 6 Numerical Methods for Partial Differential Equations 6 SIAM Journal on Matrix Analysis and Applications 6 Journal of Mathematical Chemistry 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Discrete and Continuous Dynamical Systems. Series B 6 Networks and Heterogeneous Media 6 Science China. Mathematics 6 SIAM/ASA Journal on Uncertainty Quantification 5 Communications on Pure and Applied Mathematics 5 International Journal for Numerical Methods in Fluids 5 Advances in Mathematics 5 Chinese Annals of Mathematics. Series B 5 Acta Applicandae Mathematicae 5 SIAM Journal on Applied Mathematics 5 Stochastic Processes and their Applications 5 Continuum Mechanics and Thermodynamics 4 Computer Physics Communications 4 Physica D 4 Numerical Algorithms 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Dynamics and Differential Equations 4 Discrete and Continuous Dynamical Systems 4 Mathematical Problems in Engineering 4 Doklady Mathematics 4 Journal of Mathematical Fluid Mechanics 4 Acta Mathematica Sinica. English Series 4 Annales Henri Poincaré 4 Discrete and Continuous Dynamical Systems. Series S 4 Kinetic and Related Models 3 Journal of Fluid Mechanics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Automatica 3 BIT 3 Mathematics and Computers in Simulation 3 Quarterly of Applied Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Constructive Approximation 3 Journal of Non-Newtonian Fluid Mechanics 3 Journal of Mathematical Sciences (New York) 3 Numerical Linear Algebra with Applications 3 Mathematics and Mechanics of Solids 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Journal of Evolution Equations 3 Computational Methods in Applied Mathematics 3 Communications on Pure and Applied Analysis 3 Analysis and Applications (Singapore) 3 Boundary Value Problems 3 Annals of PDE 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Letters in Mathematical Physics 2 The Annals of Probability 2 Applied Mathematics and Optimization 2 Inventiones Mathematicae 2 Journal of Optimization Theory and Applications 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Probability Theory and Related Fields ...and 126 more Serials
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### Cited in 41 Fields

 606 Partial differential equations (35-XX) 411 Numerical analysis (65-XX) 341 Fluid mechanics (76-XX) 203 Statistical mechanics, structure of matter (82-XX) 168 Mechanics of deformable solids (74-XX) 146 Probability theory and stochastic processes (60-XX) 133 Quantum theory (81-XX) 77 Calculus of variations and optimal control; optimization (49-XX) 34 Ordinary differential equations (34-XX) 33 Dynamical systems and ergodic theory (37-XX) 30 Operator theory (47-XX) 27 Biology and other natural sciences (92-XX) 24 Optics, electromagnetic theory (78-XX) 22 Mechanics of particles and systems (70-XX) 21 Systems theory; control (93-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Statistics (62-XX) 17 Operations research, mathematical programming (90-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 14 Functional analysis (46-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Computer science (68-XX) 11 Real functions (26-XX) 10 Approximations and expansions (41-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Integral equations (45-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)