Edit Profile (opens in new tab) Legoll, Frédéric Compute Distance To: Compute Author ID: legoll.frederic Published as: Legoll, Frédéric; Legoll, F.; Legoll, Frederic; Legoll, FreDeRic External Links: MGP Documents Indexed: 58 Publications since 2004 Co-Authors: 43 Co-Authors with 56 Joint Publications 989 Co-Co-Authors all top 5 Co-Authors 2 single-authored 27 Le Bris, Claude 11 Lelièvre, Tony 8 Blanc, Xavier 6 Cancès, Eric 6 Stoltz, Gabriel 4 Costaouec, Ronan 4 Minvielle, William 3 Chamoin, Ludovic 3 Dobson, Matthew 3 Ehrlacher, Virginie 3 Madiot, François 3 Stamm, Benjamin 3 Thomines, Florian 2 Lozinski, Alexei 2 Luskin, Mitchell 2 Moeckel, Richard 2 Olla, Stefano 2 Sharma, Upanshu 2 Xiang, Shuyang 1 Anantharaman, Arnaud 1 Brochard, Laurent 1 Castella, François 1 Chartier, Philippe 1 Dai, Xiaoying 1 Efendiev, Yalchin R. 1 Faou, Erwan 1 Forest, Samuel 1 Gorynina, Olga Glebovna 1 Hudson, Thomas 1 Iacobucci, Alessandra 1 Jourdan, Thomas 1 Kronsbein, Cornelia 1 Lahbabi, Salma 1 Lemaire, Simon 1 Maday, Yvon 1 Monasse, Laurent 1 Obliger, Amaël 1 Patz, Carsten 1 Sab, Karam 1 Samaey, Giovanni 1 Simon, Marielle 1 Tejada, Ignacio G. 1 Turinici, Gabriel all top 5 Serials 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Multiscale Modeling & Simulation 3 Nonlinearity 3 SIAM Journal on Scientific Computing 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational Physics 2 Journal of Statistical Physics 2 Computational Mechanics 1 Archive for Rational Mechanics and Analysis 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 Numerische Mathematik 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Journal of Elasticity 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 Computational and Applied Mathematics 1 Monte Carlo Methods and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Markov Processes and Related Fields 1 Discrete and Continuous Dynamical Systems. Series B 1 AMRX. Applied Mathematics Research eXpress 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 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 all top 5 Fields 36 Numerical analysis (65-XX) 28 Partial differential equations (35-XX) 14 Probability theory and stochastic processes (60-XX) 14 Mechanics of deformable solids (74-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of particles and systems (70-XX) 3 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 376 times in 249 Documents Cited by ▼ Year ▼ Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel 32 2007 Effective dynamics using conditional expectations. Zbl 1209.60036Legoll, Frédéric; Lelièvre, Tony 30 2010 An MsFEM type approach for perforated domains. Zbl 1316.35021Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei 26 2014 Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics. Zbl 1330.74066Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric 23 2005 Non-ergodicity of the Nosé-Hoover thermostatted harmonic oscillator. Zbl 1122.82002Legoll, Frédéric; Luskin, Mitchell; Moeckel, Richard 20 2007 Symmetric parareal algorithms for Hamiltonian systems. Zbl 1269.65133Dai, Xiaoying; Le Bris, Claude; Legoll, Frédéric; Maday, Yvon 17 2013 A micro-macro parareal algorithm: application to singularly perturbed ordinary differential equations. Zbl 1362.65071Legoll, Frédéric; Lelièvre, Tony; Samaey, Giovanni 15 2013 Multiscale finite element approach for “weakly” random problems and related issues. Zbl 1300.65007Le Bris, Claude; Legoll, Frédéric; Thomines, Florian 13 2014 MsFEM à la Crouzeix-Raviart for highly oscillatory elliptic problems. Zbl 1275.35021Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei 13 2013 Non-ergodicity of Nosé-Hoover dynamics. Zbl 1173.37066Legoll, Frédéric; Luskin, Mitchell; Moeckel, Richard 11 2009 Finite-temperature coarse-graining of one-dimensional models: mathematical analysis and computational approaches. Zbl 1204.37081Blanc, X.; Le Bris, C.; Legoll, F.; Patz, C. 11 2010 Variance reduction in stochastic homogenization using antithetic variables. Zbl 1260.35260Blanc, X.; Costaouec, R.; Le Bris, C.; Legoll, F. 10 2012 Multilevel Monte Carlo approaches for numerical homogenization. Zbl 1328.65010Efendiev, Yalchin; Kronsbein, Cornelia; Legoll, Frédéric 9 2015 Special quasirandom structures: a selection approach for stochastic homogenization. Zbl 1334.35450Le Bris, Claude; Legoll, Frédéric; Minvielle, William 9 2016 A control variate approach based on a defect-type theory for variance reduction in stochastic homogenization. Zbl 1330.35553Legoll, Frédéric; Minvielle, William 9 2015 Stress gradient elasticity theory: existence and uniqueness of solution. Zbl 1339.35314Sab, Karam; Legoll, Frédéric; Forest, Samuel 8 2016 Variance reduction in stochastic homogenization: proof of concept, using antithetic variables. Zbl 1242.60039Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric 8 2010 Variance reduction using antithetic variables for a nonlinear convex stochastic homogenization problem. Zbl 1328.35339Legoll, Frédéric; Minvielle, William 8 2015 Pathwise estimates for an effective dynamics. Zbl 1395.60061Legoll, Frédéric; Lelièvre, Tony; Olla, Stefano 8 2017 Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics: the convex case. Zbl 1177.65091Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric 8 2007 Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs. Zbl 1406.35496Le Bris, Claude; Legoll, Frédéric 7 2017 Variance reduction in stochastic homogenization: the technique of antithetic variables. Zbl 1245.65050Blanc, Xavier; Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric 7 2012 An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation. (Un problème d’inclusion pour approcher les coefficients homogénéisés d’une équation elliptique.) Zbl 1326.35115Cancès, Éric; Ehrlacher, Virginie; Legoll, Frédéric; Stamm, Benjamin 6 2015 Some remarks on free energy and coarse-graining. Zbl 1244.82064Legoll, Frédéric; Lelièvre, Tony 5 2012 Some variance reduction methods for numerical stochastic homogenization. Zbl 1353.82006Blanc, X.; Le Bris, C.; Legoll, F. 5 2016 Effective dynamics for non-reversible stochastic differential equations: a quantitative study. Zbl 07123978Legoll, Frédéric; Lelièvre, Tony; Sharma, Upanshu 4 2019 Numerical approximation of a class of problems in stochastic homogenization. (Approximation numérique d’une classe de problèmes en homogénéisation stochastique.) Zbl 1180.65166Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric 4 2010 A posteriori error estimation and adaptive strategy for the control of MsFEM computations. Zbl 1440.65191Chamoin, Ludovic; Legoll, Frédéric 4 2018 Thermal conductivity of the Toda lattice with conservative noise. Zbl 1200.82024Iacobucci, Alessandra; Legoll, Frédéric; Olla, Stefano; Stoltz, Gabriel 4 2010 Long-time averaging for integrable Hamiltonian dynamics. Zbl 1084.65126Cancès, Eric; Castella, François; Chartier, Philippe; Faou, Erwan; Le Bris, Claude; Legoll, Frédéric; Turinici, Gabriel 4 2005 Asymptotic behavior of Green functions of divergence form operators with periodic coefficients. Zbl 1308.35069Blanc, Xavier; Legoll, Frederic; Anantharaman, Arnaud 4 2013 Derivation of simplectic numerical schemes for highly oscillatory Hamiltonian systems. (Dérivation de schémas numériques symplectiques pour des systèmes Hamiltoniens hautement oscillants.) Zbl 1110.65117Le Bris, Claude; Legoll, Frédéric 3 2007 Derivation of Langevin dynamics in a nonzero background flow field. Zbl 1287.82017Dobson, Matthew; Legoll, Frédéric; Lelièvre, Tony; Stoltz, Gabriel 3 2013 A numerical comparison of some multiscale finite element approaches for advection-dominated problems in heterogeneous media. Zbl 1373.65083Le Bris, Claude; Legoll, Frédéric; Madiot, François 3 2017 Integrators for highly oscillatory Hamiltonian systems: an homogenization approach. Zbl 1259.37051Le Bris, Claude; Legoll, Frédéric 3 2010 Coarse approximation of an elliptic problme with higly oscillatory coefficients. (Approximation grossière d’un problème elliptique à coefficients hautement oscillants.) Zbl 1270.35064Le Bris, Claude; Legoll, Frédéric; Li, Kun 3 2013 Symplectic schemes for highly oscillatory Hamiltonian systems: The homogenization approach beyond the constant frequency case. Zbl 1261.65131Dobson, Matthew; Le Bris, Claude; Legoll, Frédéric 3 2013 Multiscale finite element methods for advection-dominated problems in perforated domains. Zbl 1423.35022Le Bris, Claude; Legoll, FreDeRic; Madiot, FrancOis 2 2019 On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators. Zbl 1419.35020Le Bris, Claude; Legoll, Frédéric; Lemaire, Simon 2 2018 On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients. Zbl 1323.35232Legoll, Frédéric; Thomines, Florian 2 2014 Multiscale methods coupling atomistic and continuum mechanics: some examples of mathematical analysis. Zbl 1275.82009Legoll, Frédéric 2 2009 Beyond multiscale and multiphysics: multimaths for model coupling. Zbl 1264.82099Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric; Lelièvre, Tony 2 2010 Effective dynamics for a kinetic Monte-Carlo model with slow and fast time scales. Zbl 1285.82047Lahbabi, Salma; Legoll, Frédéric 1 2013 A parameter identification problem in stochastic homogenization. Zbl 1334.35431Legoll, Frédéric; Minvielle, William; Obliger, Amaël; Simon, Marielle 1 2015 An accurate scheme to solve cluster dynamics equations using a Fokker-Planck approach. Zbl 1378.65139Jourdan, T.; Stoltz, G.; Legoll, F.; Monasse, L. 1 2016 Stabilization of non-coercive problems using the invariant measure. (Stabilisation de problèmes non coercifs via une méthode numérique utilisant la mesure invariante.) Zbl 1344.65113Le Bris, Claude; Legoll, Frédéric; Madiot, François 1 2016 An embedded corrector problem for homogenization. I: Theory. Zbl 1446.35015Cancès, Eric; Ehrlacher, Virginie; Legoll, Frédéric; Stamm, Benjamin; Xiang, Shuyang 1 2020 Goal-oriented error estimation and adaptivity in MsFEM computations. Zbl 1477.35258Chamoin, Ludovic; Legoll, Frédéric 1 2021 Goal-oriented error estimation and adaptivity in MsFEM computations. Zbl 1477.35258Chamoin, Ludovic; Legoll, Frédéric 1 2021 An embedded corrector problem for homogenization. I: Theory. Zbl 1446.35015Cancès, Eric; Ehrlacher, Virginie; Legoll, Frédéric; Stamm, Benjamin; Xiang, Shuyang 1 2020 Effective dynamics for non-reversible stochastic differential equations: a quantitative study. Zbl 07123978Legoll, Frédéric; Lelièvre, Tony; Sharma, Upanshu 4 2019 Multiscale finite element methods for advection-dominated problems in perforated domains. Zbl 1423.35022Le Bris, Claude; Legoll, FreDeRic; Madiot, FrancOis 2 2019 A posteriori error estimation and adaptive strategy for the control of MsFEM computations. Zbl 1440.65191Chamoin, Ludovic; Legoll, Frédéric 4 2018 On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators. Zbl 1419.35020Le Bris, Claude; Legoll, Frédéric; Lemaire, Simon 2 2018 Pathwise estimates for an effective dynamics. Zbl 1395.60061Legoll, Frédéric; Lelièvre, Tony; Olla, Stefano 8 2017 Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs. Zbl 1406.35496Le Bris, Claude; Legoll, Frédéric 7 2017 A numerical comparison of some multiscale finite element approaches for advection-dominated problems in heterogeneous media. Zbl 1373.65083Le Bris, Claude; Legoll, Frédéric; Madiot, François 3 2017 Special quasirandom structures: a selection approach for stochastic homogenization. Zbl 1334.35450Le Bris, Claude; Legoll, Frédéric; Minvielle, William 9 2016 Stress gradient elasticity theory: existence and uniqueness of solution. Zbl 1339.35314Sab, Karam; Legoll, Frédéric; Forest, Samuel 8 2016 Some variance reduction methods for numerical stochastic homogenization. Zbl 1353.82006Blanc, X.; Le Bris, C.; Legoll, F. 5 2016 An accurate scheme to solve cluster dynamics equations using a Fokker-Planck approach. Zbl 1378.65139Jourdan, T.; Stoltz, G.; Legoll, F.; Monasse, L. 1 2016 Stabilization of non-coercive problems using the invariant measure. (Stabilisation de problèmes non coercifs via une méthode numérique utilisant la mesure invariante.) Zbl 1344.65113Le Bris, Claude; Legoll, Frédéric; Madiot, François 1 2016 Multilevel Monte Carlo approaches for numerical homogenization. Zbl 1328.65010Efendiev, Yalchin; Kronsbein, Cornelia; Legoll, Frédéric 9 2015 A control variate approach based on a defect-type theory for variance reduction in stochastic homogenization. Zbl 1330.35553Legoll, Frédéric; Minvielle, William 9 2015 Variance reduction using antithetic variables for a nonlinear convex stochastic homogenization problem. Zbl 1328.35339Legoll, Frédéric; Minvielle, William 8 2015 An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation. (Un problème d’inclusion pour approcher les coefficients homogénéisés d’une équation elliptique.) Zbl 1326.35115Cancès, Éric; Ehrlacher, Virginie; Legoll, Frédéric; Stamm, Benjamin 6 2015 A parameter identification problem in stochastic homogenization. Zbl 1334.35431Legoll, Frédéric; Minvielle, William; Obliger, Amaël; Simon, Marielle 1 2015 An MsFEM type approach for perforated domains. Zbl 1316.35021Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei 26 2014 Multiscale finite element approach for “weakly” random problems and related issues. Zbl 1300.65007Le Bris, Claude; Legoll, Frédéric; Thomines, Florian 13 2014 On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients. Zbl 1323.35232Legoll, Frédéric; Thomines, Florian 2 2014 Symmetric parareal algorithms for Hamiltonian systems. Zbl 1269.65133Dai, Xiaoying; Le Bris, Claude; Legoll, Frédéric; Maday, Yvon 17 2013 A micro-macro parareal algorithm: application to singularly perturbed ordinary differential equations. Zbl 1362.65071Legoll, Frédéric; Lelièvre, Tony; Samaey, Giovanni 15 2013 MsFEM à la Crouzeix-Raviart for highly oscillatory elliptic problems. Zbl 1275.35021Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei 13 2013 Asymptotic behavior of Green functions of divergence form operators with periodic coefficients. Zbl 1308.35069Blanc, Xavier; Legoll, Frederic; Anantharaman, Arnaud 4 2013 Derivation of Langevin dynamics in a nonzero background flow field. Zbl 1287.82017Dobson, Matthew; Legoll, Frédéric; Lelièvre, Tony; Stoltz, Gabriel 3 2013 Coarse approximation of an elliptic problme with higly oscillatory coefficients. (Approximation grossière d’un problème elliptique à coefficients hautement oscillants.) Zbl 1270.35064Le Bris, Claude; Legoll, Frédéric; Li, Kun 3 2013 Symplectic schemes for highly oscillatory Hamiltonian systems: The homogenization approach beyond the constant frequency case. Zbl 1261.65131Dobson, Matthew; Le Bris, Claude; Legoll, Frédéric 3 2013 Effective dynamics for a kinetic Monte-Carlo model with slow and fast time scales. Zbl 1285.82047Lahbabi, Salma; Legoll, Frédéric 1 2013 Variance reduction in stochastic homogenization using antithetic variables. Zbl 1260.35260Blanc, X.; Costaouec, R.; Le Bris, C.; Legoll, F. 10 2012 Variance reduction in stochastic homogenization: the technique of antithetic variables. Zbl 1245.65050Blanc, Xavier; Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric 7 2012 Some remarks on free energy and coarse-graining. Zbl 1244.82064Legoll, Frédéric; Lelièvre, Tony 5 2012 Effective dynamics using conditional expectations. Zbl 1209.60036Legoll, Frédéric; Lelièvre, Tony 30 2010 Finite-temperature coarse-graining of one-dimensional models: mathematical analysis and computational approaches. Zbl 1204.37081Blanc, X.; Le Bris, C.; Legoll, F.; Patz, C. 11 2010 Variance reduction in stochastic homogenization: proof of concept, using antithetic variables. Zbl 1242.60039Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric 8 2010 Numerical approximation of a class of problems in stochastic homogenization. (Approximation numérique d’une classe de problèmes en homogénéisation stochastique.) Zbl 1180.65166Costaouec, Ronan; Le Bris, Claude; Legoll, Frédéric 4 2010 Thermal conductivity of the Toda lattice with conservative noise. Zbl 1200.82024Iacobucci, Alessandra; Legoll, Frédéric; Olla, Stefano; Stoltz, Gabriel 4 2010 Integrators for highly oscillatory Hamiltonian systems: an homogenization approach. Zbl 1259.37051Le Bris, Claude; Legoll, Frédéric 3 2010 Beyond multiscale and multiphysics: multimaths for model coupling. Zbl 1264.82099Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric; Lelièvre, Tony 2 2010 Non-ergodicity of Nosé-Hoover dynamics. Zbl 1173.37066Legoll, Frédéric; Luskin, Mitchell; Moeckel, Richard 11 2009 Multiscale methods coupling atomistic and continuum mechanics: some examples of mathematical analysis. Zbl 1275.82009Legoll, Frédéric 2 2009 Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel 32 2007 Non-ergodicity of the Nosé-Hoover thermostatted harmonic oscillator. Zbl 1122.82002Legoll, Frédéric; Luskin, Mitchell; Moeckel, Richard 20 2007 Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics: the convex case. Zbl 1177.65091Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric 8 2007 Derivation of simplectic numerical schemes for highly oscillatory Hamiltonian systems. (Dérivation de schémas numériques symplectiques pour des systèmes Hamiltoniens hautement oscillants.) Zbl 1110.65117Le Bris, Claude; Legoll, Frédéric 3 2007 Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics. Zbl 1330.74066Blanc, Xavier; Le Bris, Claude; Legoll, Frédéric 23 2005 Long-time averaging for integrable Hamiltonian dynamics. Zbl 1084.65126Cancès, Eric; Castella, François; Chartier, Philippe; Faou, Erwan; Le Bris, Claude; Legoll, Frédéric; Turinici, Gabriel 4 2005 all cited Publications top 5 cited Publications all top 5 Cited by 388 Authors 24 Legoll, Frédéric 20 Le Bris, Claude 13 Chung, Tsz Shun Eric 13 Wu, Shulin 11 Luskin, Mitchell 9 Efendiev, Yalchin R. 9 Ortner, Christoph 8 Blanc, Xavier 8 Dobson, Matthew 8 Lelièvre, Tony 8 Vasilyeva, Maria V. 7 Sanz-Serna, Jesús María 7 Sharma, Upanshu 7 Stoltz, Gabriel 6 Leimkuhler, Benedict J. 5 Cancès, Eric 4 Bou-Rabee, Nawaf M. 4 Duong, Manh Hong 4 Leung, Wingtat 4 Lions, Pierre-Louis 4 Lozinski, Alexei 4 Minvielle, William 4 Nouy, Anthony 4 Panasenko, Grigory P. 4 Pun, Saimang 4 Schütte, Christof 4 Zhou, Tao 3 Brown, Donald L. 3 Butler, Leo T. 3 Calvo, M. P. 3 Fischer, Julian 3 Hartmann, Carsten 3 Koutsourelakis, Phaedon-Stelios 3 Lemaire, Simon 3 Li, Guanglian 3 Li, Xingjie Helen 3 Peletier, Mark Adriaan 3 Pivovarov, Dmytro 3 Steinmann, Paul 3 Theil, Florian 3 Valentin, Frédéric 3 Willner, Kai 3 Zhang, Wei 2 Ayoul-Guilmard, Quentin 2 Binétruy, Christophe 2 Bittracher, Andreas 2 Campos, Cédric Martínez 2 Chamoin, Ludovic 2 Chartier, Philippe 2 Ehrlacher, Virginie 2 Ekre, Fredrik 2 Ern, Alexandre 2 Faghidian, S. Ali 2 Faou, Erwan 2 Forest, Samuel 2 Frénod, Emmanuel 2 Fukuda, Ikuo 2 Gallagher, Isabelle 2 Hu, Jiuhua 2 Hudson, Thomas 2 Jänicke, Ralf 2 Karniadakis, George Em 2 Klus, Stefan 2 König, Wolfgang Dieter 2 Lamacz, Agnes 2 Larsson, Fredrik 2 Li, Zhen 2 Målqvist, Axel 2 Monneau, Régis 2 Moritsugu, Kei 2 Mourrat, Jean-Christophe 2 Muntean, Adrian 2 Noorizadeh, Emad 2 Owhadi, Houman 2 Peterseim, Daniel 2 Rousset, Mathias 2 Runesson, Kenneth 2 Sab, Karam 2 Samaey, Giovanni 2 Schlichting, André 2 Schmidt, Bernd 2 Shapeev, Alexander V. 2 Spiridonov, Denis 2 Stamm, Benjamin 2 Süli, Endre E. 2 Szepessy, Anders 2 Tao, Molei 2 Truskinovsky, Lev 2 Tsai, Yen-Hsi Richard 2 Vabishchevich, Pëtr Nikolaevich 2 Vanden-Eijnden, Eric 2 Volpert, Vitaly A. 2 Wang, Xiaoming 2 Wang, Yating 2 Zhang, Zecheng 2 Zhang, Zhiwen 2 Zielinski, Przemyslaw 2 Żur, Krzysztof Kamil 1 Abolbashari, Mohammad Hossein 1 Alekseev, Valentin ...and 288 more Authors all top 5 Cited in 85 Serials 22 Journal of Computational Physics 18 Multiscale Modeling & Simulation 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 Journal of Statistical Physics 13 SIAM Journal on Scientific Computing 12 Computer Methods in Applied Mechanics and Engineering 11 Journal of Computational and Applied Mathematics 9 Archive for Rational Mechanics and Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Discrete and Continuous Dynamical Systems. Series S 4 Nonlinearity 4 Mathematics of Computation 4 BIT 4 SIAM Journal on Numerical Analysis 3 Applicable Analysis 3 Mathematical Methods in the Applied Sciences 3 Applied Numerical Mathematics 3 Computational Mechanics 3 Journal of Scientific Computing 3 Bernoulli 2 Journal of Mathematical Physics 2 Journal of the Mechanics and Physics of Solids 2 Applied Mathematics and Computation 2 Numerische Mathematik 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 Stochastic Processes and their Applications 2 Journal of Nonlinear Science 2 Continuum Mechanics and Thermodynamics 2 Engineering Analysis with Boundary Elements 2 Mathematics and Mechanics of Solids 2 Annales Henri Poincaré 2 SIAM Journal on Applied Dynamical Systems 2 Acta Numerica 2 Communications in Computational Physics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Acta Mechanica 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 The Annals of Probability 1 The Annals of Statistics 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 The Annals of Applied Probability 1 Journal of Elasticity 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Calculus of Variations and Partial Differential Equations 1 Advances in Computational Mathematics 1 Monte Carlo Methods and Applications 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Journal of Mechanics. A. Solids 1 European Journal of Mechanics. B. Fluids 1 Regular and Chaotic Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 The ANZIAM Journal 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Science China. Mathematics 1 GEM - International Journal on Geomathematics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 East Asian Journal on Applied Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Chinese Journal of Mathematics 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 30 Fields 132 Numerical analysis (65-XX) 86 Partial differential equations (35-XX) 68 Statistical mechanics, structure of matter (82-XX) 57 Probability theory and stochastic processes (60-XX) 56 Mechanics of deformable solids (74-XX) 32 Fluid mechanics (76-XX) 20 Ordinary differential equations (34-XX) 20 Dynamical systems and ergodic theory (37-XX) 14 Mechanics of particles and systems (70-XX) 11 Quantum theory (81-XX) 8 Computer science (68-XX) 6 Statistics (62-XX) 6 Optics, electromagnetic theory (78-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year