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Vanden-Eijnden, Eric

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 Author ID: vanden-eijnden.eric Published as: Vanden-Eijnden, Eric; Vanden-Eijnden, E.; Vanden Eijnden, Eric; Eijnden, Eric Vanden Homepage: https://cims.nyu.edu/~eve2/ External Links: MGP · Wikidata · ResearchGate · dblp
 Documents Indexed: 89 Publications since 1999, including 2 Books
all top 5

Co-Authors

 4 single-authored 20 E, Weinan 7 Grafke, Tobias 5 Deville, R. E. Lee 5 Majda, Andrew J. 5 Timofeyev, Ilya 4 Bou-Rabee, Nawaf M. 4 Crommelin, Daan T. 4 Ren, Weiqing 4 Tabak, Esteban G. 3 Ariel, Gil 3 Ciccotti, Giovanni 3 Donev, Aleksandar 3 Fatkullin, Ibrahim 3 Kohn, Robert Vita 3 Li, Tiejun 3 Reznikoff, Maria G. 3 Schütte, Christof 2 Cameron, Maria Kourkina 2 Dematteis, Giovanni 2 Engquist, Bjorn E. 2 Lelièvre, Tony 2 Li, Xiantao 2 Liu, Di 2 Lu, Jianfeng 2 Mattingly, Jonathan Christopher 2 Milewski, Paul A. 2 Muratov, Cyrill B. 2 Schäfer, Tobias 2 Suidan, Toufic M. 1 Abdulle, Assyr 1 Agnelli, Juan Pablo 1 Bell, John B. 1 Bonella, Sara 1 Boon, Jean Pierre 1 Bouchet, Freddy 1 Brujić, Jasna 1 Cadeiras, M. 1 Fai, Thomas G. 1 Garcia, Alejandro L. 1 Grauer, Rainer 1 Hanon, David 1 Heymann, Matthias 1 Jain, Ankita D. 1 Kovačič, Gregor 1 Kramer, Peter Roland 1 Le Bris, Claude 1 Lin, Ling 1 Meloni, Simone 1 Metzner, Philipp 1 Monteferrante, Michele 1 Newhall, Katherine A. 1 Noé, Frank 1 Otto, Felix 1 Pignol, Ricardo J. 1 Pokern, Yvo 1 Reich, Lothar 1 Sarich, Marco 1 Shi, Jin 1 Souganidis, Panagiotis E. 1 Stoltz, Gabriel 1 Stuart, Andrew M. 1 Tal, Fábio Armando 1 Tangarife, Tomás 1 Turner, Cristina Vilma 1 Venturoli, Maddalena 1 Wang, Xiaoming 1 Weare, Jonathan Quincy 1 Weikl, Thomas R. 1 Westdickenberg, Maria G. 1 Zhang, Pingwen
all top 5

Serials

 12 Communications on Pure and Applied Mathematics 12 Journal of Statistical Physics 9 Multiscale Modeling & Simulation 8 Communications in Mathematical Sciences 5 Journal of Computational Physics 5 Nonlinearity 5 Proceedings of the National Academy of Sciences of the United States of America 4 Physica D 3 Journal of Nonlinear Science 2 Physics of Fluids 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Physics 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Memoirs of the American Mathematical Society 1 Studies in Applied Mathematics 1 Journal of Non-Newtonian Fluid Mechanics 1 Journal of Mathematical Chemistry 1 Chaos 1 Acta Numerica 1 Journal of Statistical Mechanics: Theory and Experiment 1 Graduate Studies in Mathematics 1 Communications in Applied Mathematics and Computational Science 1 Communications in Computational Physics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Research in the Mathematical Sciences
all top 5

Fields

 55 Probability theory and stochastic processes (60-XX) 37 Numerical analysis (65-XX) 26 Statistical mechanics, structure of matter (82-XX) 21 Fluid mechanics (76-XX) 16 Partial differential equations (35-XX) 15 Dynamical systems and ergodic theory (37-XX) 12 Statistics (62-XX) 7 Ordinary differential equations (34-XX) 7 Biology and other natural sciences (92-XX) 4 Mechanics of deformable solids (74-XX) 4 Operations research, mathematical programming (90-XX) 3 Geophysics (86-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

Citations contained in zbMATH Open

78 Publications have been cited 1,230 times in 806 Documents Cited by Year
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric
2007
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
2012
A mathematical framework for stochastic climate models. Zbl 1017.86001
Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric
2001
Minimum action method for the study of rare events. Zbl 1050.60068
E, Weinan; Ren, Weiqing; Vanden-Eijnden, Eric
2004
The geometric minimum action method: A least action principle on the space of curves. Zbl 1146.60046
Heymann, Matthias; Vanden-Eijnden, Eric
2008
Numerical techniques for multi-scale dynamical systems with stochastic effects. Zbl 1088.60060
Vanden-Eijnden, Eric
2003
Analysis of multiscale methods for stochastic differential equations. Zbl 1080.60060
E, Weinan; Liu, Di; Vanden-Eijnden, Eric
2005
Models for stochastic climate prediction. Zbl 0966.86003
Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric
1999
Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021
Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric
2007
Nested stochastic simulation algorithms for chemical kinetic systems with multiple time scales. Zbl 1162.80003
E, Weinan; Liu, Di; Vanden-Eijnden, Eric
2007
Towards a theory of transition paths. Zbl 1101.82016
E, Weinan; Vanden-Eijnden, Eric
2006
Rare event simulation of small noise diffusions. Zbl 1268.65015
Vanden-Eijnden, Eric; Weare, Jonathan
2012
Transition path theory for Markov jump processes. Zbl 1185.60086
Metzner, Philipp; Schütte, Christof; Vanden-Eijnden, Eric
2009
A computational strategy for multiscale systems with applications to Lorenz 96 model. Zbl 1058.65065
Fatkullin, Ibrahim; Vanden-Eijnden, Eric
2004
A priori tests of a stochastic mode reduction strategy. Zbl 1007.60064
Majda, A.; Timofeyev, I.; Vanden-Eijnden, E.
2002
Some recent progress in multiscale modeling. Zbl 1419.74252
E, Weinan; Li, Xiantao; Vanden-Eijnden, Eric
2004
On the accuracy of finite-volume schemes for fluctuating hydrodynamics. Zbl 1277.76089
Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro; Bell, John
2010
Generalized flows, intrinsic stochasticity, and turbulent transport. Zbl 0967.76038
E, Weinan; Vanden Eijnden, Eric
2000
Pathwise accuracy and ergodicity of metropolized integrators for SDEs. Zbl 1214.60031
Bou-Rabee, Nawaf; Vanden-Eijnden, Eric
2010
Invariant measures of stochastic partial differential equations and conditioned diffusions. Zbl 1063.60092
Reznikoff, Maria G.; Vanden-Eijnden, Eric
2005
Projection of diffusions on submanifolds: application to mean force computation. Zbl 1185.82050
Ciccotti, Giovanni; Lelièvre, Tony; Vanden-Eijnden, Eric
2008
Flows in complex networks: theory, algorithms, and application to lennard-Jones cluster rearrangement. Zbl 1301.82031
Cameron, Maria; Vanden-Eijnden, Eric
2014
Constructing the equilibrium ensemble of folding pathways from short off-equilibrium simulations. Zbl 1254.92001
Noé, Frank; Schütte, Christof; Vanden-Eijnden, Eric; Reich, Lothar; Weikl, Thomas R.
2009
Statistical theory for the stochastic Burgers equation in the inviscid limit. Zbl 1037.76013
E, Weinan; Vanden Eijnden, Eric
2000
Self-induced stochastic resonance in excitable systems. Zbl 1109.34040
Muratov, Cyrill B.; Vanden-Eijnden, Eric; E, Weinan
2005
Diffusion estimation from multiscale data by operator eigenpairs. Zbl 1244.60055
Crommelin, Daan; Vanden-Eijnden, Eric
2011
A general strategy for designing seamless multiscale methods. Zbl 1280.76038
E, Weinan; Ren, Weiqing; Vanden-Eijnden, Eric
2009
Energy landscapes and rare events. Zbl 1023.65004
E, Weinan; Ren, Weiqing; Vanden-Eijnden, Eric
2002
Non-Gaussian invariant measures for the Majda model of decaying turbulent transport. Zbl 1036.76025
Vanden Eijnden, Eric
2001
Stochastic models for selected slow variables in large deterministic systems. Zbl 1101.60048
Majda, A.; Timofeyev, I.; Vanden-Eijnden, E.
2006
Reconstruction of diffusion using spectral data from time series. Zbl 1108.62086
Crommelin, Daan; Vanden-Eijnden, Eric
2006
A patch that imparts unconditional stability to explicit integrators for Langevin-like equations. Zbl 1430.65003
Bou-Rabee, Nawaf; Vanden-Eijnden, Eric
2012
On HMM-like integrators and projective integration methods for systems with multiple time scales. Zbl 1135.65302
Vanden-Eijnden, Eric
2007
Metastability, conformation dynamics, and transition pathways in complex systems. Zbl 1141.82312
E, Weinan; Vanden-Eijnden, Eric
2004
Rogue waves and large deviations in deep sea. Zbl 1416.76021
Dematteis, Giovanni; Grafke, Tobias; Vanden-Eijnden, Eric
2018
Large deviations in fast-slow systems. Zbl 1337.60029
Bouchet, Freddy; Grafke, Tobias; Tangarife, Tomás; Vanden-Eijnden, Eric
2016
Arclength parametrized Hamilton’s equations for the calculation of instantons. Zbl 1348.60084
Grafke, T.; Grauer, R.; Schäfer, T.; Vanden-Eijnden, E.
2014
Magnetic elements at finite temperature and large deviation theory. Zbl 1107.82068
Kohn, R. V.; Reznikoff, M. G.; Vanden-Eijnden, E.
2005
Density estimation by dual ascent of the log-likelihood. Zbl 1189.62063
Tabak, Esteban G.; Vanden-Eijnden, Eric
2010
The string method as a dynamical system. Zbl 1250.37014
Cameron, Maria; Kohn, Robert V.; Vanden-Eijnden, Eric
2011
Optimal partition and effective dynamics of complex networks. Zbl 1205.68031
E, Weinan; Li, Tiejun; Vanden-Eijnden, Eric
2008
Turbulent Prandtl number effect on passive scalar advection. Zbl 0986.76025
E, Weinan; Vanden-Eijnden, Eric
2001
Fitting timeseries by continuous-time Markov chains: a quadratic programming approach. Zbl 1102.65009
Crommelin, D. T.; Vanden-Eijnden, E.
2006
Data-based inference of generators for Markov jump processes using convex optimization. Zbl 1182.62163
Crommelin, Daan; Vanden-Eijnden, Eric
2009
Rare events in stochastic partial differential equations on large spatial domains. Zbl 1214.82072
Vanden-Eijnden, Eric; Westdickenberg, Maria G.
2008
Long term effects of small random perturbations on dynamical systems: theoretical and computational tools. Zbl 1383.37035
Grafke, Tobias; Schäfer, Tobias; Vanden-Eijnden, Eric
2017
Kinetics of phase transitions in two dimensional Ising models studied with the string method. Zbl 1198.82019
Venturoli, Maddalena; Vanden-Eijnden, Eric; Ciccotti, Giovanni
2009
Metropolis integration schemes for self-adjoint diffusions. Zbl 1315.65006
Bou-Rabee, Nawaf; Donev, Aleksandar; Vanden-Eijnden, Eric
2014
Stochastic models of polymeric fluids at small Deborah number. Zbl 1078.76009
Li, T.; Vanden-Eijnden, E.; Zhang, P.; E, W.
2004
A note on generalized flows. Zbl 1042.34009
E, Weinan; Vanden-Eijnden, Eric
2003
Simple systems with anomalous dissipation and energy cascade. Zbl 1127.37053
Mattingly, Jonathan C.; Suidan, Toufic; Vanden-Eijnden, Eric
2007
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
Transition state theory and dynamical corrections in ergodic systems. Zbl 1134.37306
Tal, Fabio A.; Vanden-Eijnden, Eric
2006
Breakup of universality in the generalized spinodal nucleation theory. Zbl 1061.82012
Muratov, Cyrill B.; Vanden-Eijnden, Eric
2004
Transition path theory. Zbl 1321.60145
Vanden-Eijnden, Eric
2014
Testing transition state theory on Kac-Zwanzig model. Zbl 1119.82033
Ariel, G.; Vanden-Eijnden, E.
2007
Reduced dynamics of stochastically perturbed gradient flows. Zbl 1197.34103
Fatkullin, Ibrahim; Kovacic, Gregor; Vanden-Eijnden, Eric
2010
A strong limit theorem in the Kac-Zwanzig model. Zbl 1154.60354
Ariel, G.; Vanden-Eijnden, E.
2009
Continuous-time random walks for the numerical solution of stochastic differential equations. Zbl 1437.65002
Bou-Rabee, Nawaf; Vanden-Eijnden, Eric
2018
Resonant wave interaction with random forcing and dissipation. Zbl 1152.76423
Milewski, Paul A.; Tabak, Esteban G.; Vanden-Eijnden, Eric
2002
Closure approximations for passive scalar turbulence: a comparative study on an exactly solvable model with complex features. Zbl 1091.76025
Kramer, Peter R.; Majda, Andrew J.; Vanden-Eijnden, Eric
2003
Reconstructing free energy profiles from nonequilibrium relaxation trajectories. Zbl 1226.82055
Zhang, Qi; Brujić, Jasna; Vanden-Eijnden, Eric
2011
Optimal fuzzy aggregation of networks. Zbl 1244.60006
Sarich, Marco; Schütte, Christof; Vanden-Eijnden, Eric
2010
Clustering and classification through normalizing flows in feature space. Zbl 1208.62100
Agnelli, J. P.; Cadeiras, M.; Tabak, E. G.; Turner, C. V.; Vanden-Eijnden, E.
2010
Remarks on drift estimation for diffusion processes. Zbl 1183.62145
Pokern, Yvo; Stuart, Andrew M.; Vanden-Eijnden, Eric
2009
Extreme event quantification in dynamical systems with random components. Zbl 1448.60063
Dematteis, Giovanni; Grafke, Tobias; Vanden-Eijnden, Eric
2019
Self-induced stochastic resonance for Brownian ratchets under load. Zbl 1134.60350
Lee Deville, R. E.; Vanden-Eijnden, Eric
2007
Regularity and synchrony in motor proteins. Zbl 1139.92014
Deville, R. E. Lee; Vanden-Eijnden, Eric
2008
On the statistical solution of the Riemann equation and its implications for Burgers turbulence. Zbl 1147.76381
E, Weinan; Vanden Eijnden, Eric
1999
Another note on forced Burgers turbulence. Zbl 1149.76366
E, Weinan; Vanden Eijnden, Eric
2000
Stochastic mode-reduction in models with conservative fast sub-systems. Zbl 1332.60084
Jain, Ankita; Timofeyev, Ilya; Vanden-Eijnden, Eric
2015
Numerical computation of rare events via large deviation theory. Zbl 1416.65042
Grafke, Tobias; Vanden-Eijnden, Eric
2019
Nonequilibrium statistics of a reduced model for energy transfer in waves. Zbl 1210.76029
DeVille, R. E. Lee; Milewski, Paul A.; Pignol, Ricardo J.; Tabak, Esteban G.; Vanden-Eijnden, Eric
2007
Wavetrain response of an excitable medium to local stochastic forcing. Zbl 1132.60049
Lee De Ville, R. E.; Vanden-Eijnden, Eric
2007
Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators. Zbl 1138.82023
Mattingly, Jonathan C.; Suidan, Toufic M.; Vanden-Eijnden, Eric
2007
Fluctuations in the heterogeneous multiscale methods for fast-slow systems. Zbl 1453.65204
Kelly, David; Vanden-Eijnden, Eric
2017
Accelerated simulation of a heavy particle in a gas of elastic spheres. Zbl 1254.74044
Ariel, Gil; Vanden-Eijnden, Eric
2008
A nontrivial scaling limit for multiscale Markov chains. Zbl 1114.82020
DeVille, R. E. Lee; Vanden-Eijnden, Eric
2007
Extreme event quantification in dynamical systems with random components. Zbl 1448.60063
Dematteis, Giovanni; Grafke, Tobias; Vanden-Eijnden, Eric
2019
Numerical computation of rare events via large deviation theory. Zbl 1416.65042
Grafke, Tobias; Vanden-Eijnden, Eric
2019
Rogue waves and large deviations in deep sea. Zbl 1416.76021
Dematteis, Giovanni; Grafke, Tobias; Vanden-Eijnden, Eric
2018
Continuous-time random walks for the numerical solution of stochastic differential equations. Zbl 1437.65002
Bou-Rabee, Nawaf; Vanden-Eijnden, Eric
2018
Long term effects of small random perturbations on dynamical systems: theoretical and computational tools. Zbl 1383.37035
Grafke, Tobias; Schäfer, Tobias; Vanden-Eijnden, Eric
2017
Fluctuations in the heterogeneous multiscale methods for fast-slow systems. Zbl 1453.65204
Kelly, David; Vanden-Eijnden, Eric
2017
Large deviations in fast-slow systems. Zbl 1337.60029
Bouchet, Freddy; Grafke, Tobias; Tangarife, Tomás; Vanden-Eijnden, Eric
2016
Stochastic mode-reduction in models with conservative fast sub-systems. Zbl 1332.60084
Jain, Ankita; Timofeyev, Ilya; Vanden-Eijnden, Eric
2015
Flows in complex networks: theory, algorithms, and application to lennard-Jones cluster rearrangement. Zbl 1301.82031
Cameron, Maria; Vanden-Eijnden, Eric
2014
Arclength parametrized Hamilton’s equations for the calculation of instantons. Zbl 1348.60084
Grafke, T.; Grauer, R.; Schäfer, T.; Vanden-Eijnden, E.
2014
Metropolis integration schemes for self-adjoint diffusions. Zbl 1315.65006
Bou-Rabee, Nawaf; Donev, Aleksandar; Vanden-Eijnden, Eric
2014
Transition path theory. Zbl 1321.60145
Vanden-Eijnden, Eric
2014
The heterogeneous multiscale method. Zbl 1255.65224
Abdulle, Assyr; Weinan, E.; Engquist, Björn; Vanden-Eijnden, Eric
2012
Rare event simulation of small noise diffusions. Zbl 1268.65015
Vanden-Eijnden, Eric; Weare, Jonathan
2012
A patch that imparts unconditional stability to explicit integrators for Langevin-like equations. Zbl 1430.65003
Bou-Rabee, Nawaf; Vanden-Eijnden, Eric
2012
Diffusion estimation from multiscale data by operator eigenpairs. Zbl 1244.60055
Crommelin, Daan; Vanden-Eijnden, Eric
2011
The string method as a dynamical system. Zbl 1250.37014
Cameron, Maria; Kohn, Robert V.; Vanden-Eijnden, Eric
2011
Reconstructing free energy profiles from nonequilibrium relaxation trajectories. Zbl 1226.82055
Zhang, Qi; Brujić, Jasna; Vanden-Eijnden, Eric
2011
On the accuracy of finite-volume schemes for fluctuating hydrodynamics. Zbl 1277.76089
Donev, Aleksandar; Vanden-Eijnden, Eric; Garcia, Alejandro; Bell, John
2010
Pathwise accuracy and ergodicity of metropolized integrators for SDEs. Zbl 1214.60031
Bou-Rabee, Nawaf; Vanden-Eijnden, Eric
2010
Density estimation by dual ascent of the log-likelihood. Zbl 1189.62063
Tabak, Esteban G.; Vanden-Eijnden, Eric
2010
Reduced dynamics of stochastically perturbed gradient flows. Zbl 1197.34103
Fatkullin, Ibrahim; Kovacic, Gregor; Vanden-Eijnden, Eric
2010
Optimal fuzzy aggregation of networks. Zbl 1244.60006
Sarich, Marco; Schütte, Christof; Vanden-Eijnden, Eric
2010
Clustering and classification through normalizing flows in feature space. Zbl 1208.62100
Agnelli, J. P.; Cadeiras, M.; Tabak, E. G.; Turner, C. V.; Vanden-Eijnden, E.
2010
Transition path theory for Markov jump processes. Zbl 1185.60086
Metzner, Philipp; Schütte, Christof; Vanden-Eijnden, Eric
2009
Constructing the equilibrium ensemble of folding pathways from short off-equilibrium simulations. Zbl 1254.92001
Noé, Frank; Schütte, Christof; Vanden-Eijnden, Eric; Reich, Lothar; Weikl, Thomas R.
2009
A general strategy for designing seamless multiscale methods. Zbl 1280.76038
E, Weinan; Ren, Weiqing; Vanden-Eijnden, Eric
2009
Data-based inference of generators for Markov jump processes using convex optimization. Zbl 1182.62163
Crommelin, Daan; Vanden-Eijnden, Eric
2009
Kinetics of phase transitions in two dimensional Ising models studied with the string method. Zbl 1198.82019
Venturoli, Maddalena; Vanden-Eijnden, Eric; Ciccotti, Giovanni
2009
A strong limit theorem in the Kac-Zwanzig model. Zbl 1154.60354
Ariel, G.; Vanden-Eijnden, E.
2009
Remarks on drift estimation for diffusion processes. Zbl 1183.62145
Pokern, Yvo; Stuart, Andrew M.; Vanden-Eijnden, Eric
2009
The geometric minimum action method: A least action principle on the space of curves. Zbl 1146.60046
Heymann, Matthias; Vanden-Eijnden, Eric
2008
Projection of diffusions on submanifolds: application to mean force computation. Zbl 1185.82050
Ciccotti, Giovanni; Lelièvre, Tony; Vanden-Eijnden, Eric
2008
Optimal partition and effective dynamics of complex networks. Zbl 1205.68031
E, Weinan; Li, Tiejun; Vanden-Eijnden, Eric
2008
Rare events in stochastic partial differential equations on large spatial domains. Zbl 1214.82072
Vanden-Eijnden, Eric; Westdickenberg, Maria G.
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
Regularity and synchrony in motor proteins. Zbl 1139.92014
Deville, R. E. Lee; Vanden-Eijnden, Eric
2008
Accelerated simulation of a heavy particle in a gas of elastic spheres. Zbl 1254.74044
Ariel, Gil; Vanden-Eijnden, Eric
2008
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric
2007
Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021
Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric
2007
Nested stochastic simulation algorithms for chemical kinetic systems with multiple time scales. Zbl 1162.80003
E, Weinan; Liu, Di; Vanden-Eijnden, Eric
2007
On HMM-like integrators and projective integration methods for systems with multiple time scales. Zbl 1135.65302
Vanden-Eijnden, Eric
2007
Simple systems with anomalous dissipation and energy cascade. Zbl 1127.37053
Mattingly, Jonathan C.; Suidan, Toufic; Vanden-Eijnden, Eric
2007
Testing transition state theory on Kac-Zwanzig model. Zbl 1119.82033
Ariel, G.; Vanden-Eijnden, E.
2007
Self-induced stochastic resonance for Brownian ratchets under load. Zbl 1134.60350
Lee Deville, R. E.; Vanden-Eijnden, Eric
2007
Nonequilibrium statistics of a reduced model for energy transfer in waves. Zbl 1210.76029
DeVille, R. E. Lee; Milewski, Paul A.; Pignol, Ricardo J.; Tabak, Esteban G.; Vanden-Eijnden, Eric
2007
Wavetrain response of an excitable medium to local stochastic forcing. Zbl 1132.60049
Lee De Ville, R. E.; Vanden-Eijnden, Eric
2007
Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators. Zbl 1138.82023
Mattingly, Jonathan C.; Suidan, Toufic M.; Vanden-Eijnden, Eric
2007
A nontrivial scaling limit for multiscale Markov chains. Zbl 1114.82020
DeVille, R. E. Lee; Vanden-Eijnden, Eric
2007
Towards a theory of transition paths. Zbl 1101.82016
E, Weinan; Vanden-Eijnden, Eric
2006
Stochastic models for selected slow variables in large deterministic systems. Zbl 1101.60048
Majda, A.; Timofeyev, I.; Vanden-Eijnden, E.
2006
Reconstruction of diffusion using spectral data from time series. Zbl 1108.62086
Crommelin, Daan; Vanden-Eijnden, Eric
2006
Fitting timeseries by continuous-time Markov chains: a quadratic programming approach. Zbl 1102.65009
Crommelin, D. T.; Vanden-Eijnden, E.
2006
Transition state theory and dynamical corrections in ergodic systems. Zbl 1134.37306
Tal, Fabio A.; Vanden-Eijnden, Eric
2006
Analysis of multiscale methods for stochastic differential equations. Zbl 1080.60060
E, Weinan; Liu, Di; Vanden-Eijnden, Eric
2005
Invariant measures of stochastic partial differential equations and conditioned diffusions. Zbl 1063.60092
Reznikoff, Maria G.; Vanden-Eijnden, Eric
2005
Self-induced stochastic resonance in excitable systems. Zbl 1109.34040
Muratov, Cyrill B.; Vanden-Eijnden, Eric; E, Weinan
2005
Magnetic elements at finite temperature and large deviation theory. Zbl 1107.82068
Kohn, R. V.; Reznikoff, M. G.; Vanden-Eijnden, E.
2005
Minimum action method for the study of rare events. Zbl 1050.60068
E, Weinan; Ren, Weiqing; Vanden-Eijnden, Eric
2004
A computational strategy for multiscale systems with applications to Lorenz 96 model. Zbl 1058.65065
Fatkullin, Ibrahim; Vanden-Eijnden, Eric
2004
Some recent progress in multiscale modeling. Zbl 1419.74252
E, Weinan; Li, Xiantao; Vanden-Eijnden, Eric
2004
Metastability, conformation dynamics, and transition pathways in complex systems. Zbl 1141.82312
E, Weinan; Vanden-Eijnden, Eric
2004
Stochastic models of polymeric fluids at small Deborah number. Zbl 1078.76009
Li, T.; Vanden-Eijnden, E.; Zhang, P.; E, W.
2004
Breakup of universality in the generalized spinodal nucleation theory. Zbl 1061.82012
Muratov, Cyrill B.; Vanden-Eijnden, Eric
2004
Numerical techniques for multi-scale dynamical systems with stochastic effects. Zbl 1088.60060
Vanden-Eijnden, Eric
2003
A note on generalized flows. Zbl 1042.34009
E, Weinan; Vanden-Eijnden, Eric
2003
Closure approximations for passive scalar turbulence: a comparative study on an exactly solvable model with complex features. Zbl 1091.76025
Kramer, Peter R.; Majda, Andrew J.; Vanden-Eijnden, Eric
2003
A priori tests of a stochastic mode reduction strategy. Zbl 1007.60064
Majda, A.; Timofeyev, I.; Vanden-Eijnden, E.
2002
Energy landscapes and rare events. Zbl 1023.65004
E, Weinan; Ren, Weiqing; Vanden-Eijnden, Eric
2002
Resonant wave interaction with random forcing and dissipation. Zbl 1152.76423
Milewski, Paul A.; Tabak, Esteban G.; Vanden-Eijnden, Eric
2002
A mathematical framework for stochastic climate models. Zbl 1017.86001
Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric
2001
Non-Gaussian invariant measures for the Majda model of decaying turbulent transport. Zbl 1036.76025
Vanden Eijnden, Eric
2001
Turbulent Prandtl number effect on passive scalar advection. Zbl 0986.76025
E, Weinan; Vanden-Eijnden, Eric
2001
Generalized flows, intrinsic stochasticity, and turbulent transport. Zbl 0967.76038
E, Weinan; Vanden Eijnden, Eric
2000
Statistical theory for the stochastic Burgers equation in the inviscid limit. Zbl 1037.76013
E, Weinan; Vanden Eijnden, Eric
2000
Another note on forced Burgers turbulence. Zbl 1149.76366
E, Weinan; Vanden Eijnden, Eric
2000
Models for stochastic climate prediction. Zbl 0966.86003
Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric
1999
On the statistical solution of the Riemann equation and its implications for Burgers turbulence. Zbl 1147.76381
E, Weinan; Vanden Eijnden, Eric
1999
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Cited by 1,235 Authors

 34 Vanden-Eijnden, Eric 32 Majda, Andrew J. 24 Abdulle, Assyr 16 Stuart, Andrew M. 15 Schütte, Christof 12 Lelièvre, Tony 11 Cameron, Maria Kourkina 10 Chung, Tsz Shun Eric 10 E, Weinan 9 Bouchet, Freddy 9 Engquist, Bjorn E. 9 Samaey, Giovanni 9 Timofeyev, Ilya 8 Flandoli, Franco 8 Hartmann, Carsten 8 Lu, Jianfeng 8 Vasilyeva, Maria V. 7 Atzberger, Paul J. 7 Du, Qiang 7 Hairer, Martin 7 Harlim, John 7 Lötstedt, Per 7 Pavliotis, Grigorios A. 6 Bou-Rabee, Nawaf M. 6 Brown, Donald L. 6 Chartier, Philippe 6 Cui, Junzhi 6 Grafke, Tobias 6 Guo, Boling 6 Hellander, Andreas 6 Lucarini, Valerio 6 McLaughlin, Richard M. 6 Qi, Di 6 Sapsis, Themistoklis P. 6 Stoltz, Gabriel 6 Vilmart, Gilles 6 Wan, Xiaoliang 6 Wang, Wei 6 Weber, Hendrik 5 Arjmand, Doghonay 5 Azencott, Robert 5 Brzeźniak, Zdzisław 5 Chekroun, Mickaël D. 5 Chen, Nan 5 Duan, Jinqiao 5 Eyink, Gregory L. 5 Franzke, Christian L. E. 5 Hoang, Viet Ha 5 Koltai, Péter 5 Kühn, Christian 5 Leung, Wingtat 5 Ma, Qiang 5 Roberts, Anthony John 5 Spiliopoulos, Konstantinos V. 5 Voss, Jochen 5 Weare, Jonathan Quincy 5 Zhang, Wei 5 Zielinski, Przemyslaw 4 Ariel, Gil 4 Babuška, Ivo 4 Berglund, Nils 4 Blömker, Dirk 4 Bunder, J. E. 4 Camassa, Roberto 4 Crommelin, Daan T. 4 Dijkstra, Henk A. 4 Forgoston, Eric 4 Gottwald, Georg A. 4 Grote, Marcus J. 4 Khammash, Mustafa H. 4 Kramer, Peter Roland 4 Lee, Yoonsang 4 Legoll, Frédéric 4 Liu, Di 4 Lv, Yan 4 Mattingly, Jonathan Christopher 4 Morzfeld, Matthias 4 Röckner, Michael 4 Röger, Matthias 4 Sanz-Serna, Jesús María 4 Stohrer, Christian 4 Tantet, Alexis 4 Tsai, Yen-Hsi Richard 4 Xu, Jie 4 Zhao, Xiaofei 3 Aristoff, David 3 Bai, Yun 3 Banisch, Ralf 3 Bec, Jérémie 3 Berry, Tyrus 3 Bertini, Lorenzo Bertini 3 Bittracher, Andreas 3 Borg, Matthew K. 3 Bréhier, Charles-Edouard 3 Buttà, Paolo 3 Celani, Antonio 3 Chappell, David J. 3 Chorin, Alexandre Joel 3 Ciccotti, Giovanni 3 Crouseilles, Nicolas ...and 1,135 more Authors
all top 5

Cited in 183 Serials

 68 Journal of Computational Physics 54 Journal of Statistical Physics 47 Multiscale Modeling & Simulation 34 Physica D 30 Computer Methods in Applied Mechanics and Engineering 25 Chaos 22 Journal of Computational and Applied Mathematics 17 Communications on Pure and Applied Mathematics 17 Journal of Scientific Computing 17 Journal of Nonlinear Science 14 SIAM/ASA Journal on Uncertainty Quantification 13 Journal of Fluid Mechanics 12 SIAM Journal on Scientific Computing 11 SIAM Journal on Numerical Analysis 11 Proceedings of the National Academy of Sciences of the United States of America 10 Journal of Differential Equations 10 Computational Mechanics 10 The Annals of Applied Probability 9 Stochastic Processes and their Applications 8 Numerische Mathematik 8 Probability Theory and Related Fields 8 Research in the Mathematical Sciences 7 Journal of Mathematical Physics 7 International Journal for Numerical Methods in Engineering 7 Applied Numerical Mathematics 7 Physics of Fluids 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Archive for Rational Mechanics and Analysis 6 Computers & Mathematics with Applications 6 Communications in Mathematical Physics 6 Mathematics of Computation 6 SIAM Review 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Mathematical Biology 5 Bulletin of Mathematical Biology 5 BIT 5 Discrete and Continuous Dynamical Systems 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 SIAM Journal on Applied Dynamical Systems 5 Journal of Statistical Mechanics: Theory and Experiment 4 Computers and Fluids 4 Nonlinearity 4 The Annals of Probability 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Mathematical Analysis 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Calculus of Variations and Partial Differential Equations 4 Advances in Computational Mathematics 4 Computational Geosciences 4 Stochastics and Dynamics 4 Journal of Physics A: Mathematical and Theoretical 4 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Theoretical Biology 3 Physics Reports 3 Applied Mathematics and Computation 3 Journal of Functional Analysis 3 European Journal of Applied Mathematics 3 SIAM Journal on Applied Mathematics 3 Journal of Mathematical Chemistry 3 Mathematical Problems in Engineering 3 Nonlinear Dynamics 3 Annales Henri Poincaré 3 Foundations of Computational Mathematics 3 Acta Numerica 3 Networks and Heterogeneous Media 3 Science China. Mathematics 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Journal of Computational Dynamics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Mathematical Analysis and Applications 2 Mathematical Biosciences 2 Journal of Statistical Planning and Inference 2 Mathematics and Computers in Simulation 2 Proceedings of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Stochastic Analysis and Applications 2 Journal of Theoretical Probability 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 ETNA. Electronic Transactions on Numerical Analysis 2 ACM Transactions on Modeling and Computer Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Abstract and Applied Analysis 2 Journal of Systems Science and Complexity 2 Computational Methods in Applied Mathematics 2 Oberwolfach Reports 2 Communications in Applied Mathematics and Computational Science 2 Frontiers of Mathematics in China 2 Advances in Mathematical Physics 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Biological Cybernetics 1 Computer Physics Communications 1 International Journal of Heat and Mass Transfer 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Metrika ...and 83 more Serials
all top 5

Cited in 38 Fields

 335 Numerical analysis (65-XX) 320 Probability theory and stochastic processes (60-XX) 232 Partial differential equations (35-XX) 152 Fluid mechanics (76-XX) 144 Statistical mechanics, structure of matter (82-XX) 95 Mechanics of deformable solids (74-XX) 93 Dynamical systems and ergodic theory (37-XX) 76 Ordinary differential equations (34-XX) 62 Biology and other natural sciences (92-XX) 61 Statistics (62-XX) 42 Geophysics (86-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 22 Classical thermodynamics, heat transfer (80-XX) 18 Systems theory; control (93-XX) 17 Optics, electromagnetic theory (78-XX) 15 Mechanics of particles and systems (70-XX) 14 Computer science (68-XX) 11 Information and communication theory, circuits (94-XX) 10 Operations research, mathematical programming (90-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Quantum theory (81-XX) 7 Differential geometry (53-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Astronomy and astrophysics (85-XX)

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