Weinan E
Weinan E
Professor of Mathematics, Princeton University
Verified email at math.princeton.edu
Cited by
Cited by
String method for the study of rare events
E Weinan, W Ren, E Vanden-Eijnden
Physical Review B 66 (5), 052301, 2002
Solving high-dimensional partial differential equations using deep learning
J Han, A Jentzen, E Weinan
Proceedings of the National Academy of Sciences 115 (34), 8505-8510, 2018
Deep potential molecular dynamics: a scalable model with the accuracy of quantum mechanics
L Zhang, J Han, H Wang, R Car, E Weinan
Physical review letters 120 (14), 143001, 2018
Onsager's conjecture on the energy conservation for solutions of Euler's equation
P Constantin, E Weinan, ES Titi
Communications in Mathematical Physics 165 (1), 207-209, 1994
The heterogeneous multiscale method: A review
E Weinan, B Engquist, X Li, W Ren, E Vanden-Eijnden
Commun. Comput. Phys, 2007
The heterognous multiscale methods
E Weinan, B Engquist
Communications in Mathematical Sciences 1 (1), 87-132, 2003
Principles of multiscale modeling
E Weinan
Cambridge University Press, 2011
The heterogeneous multiscale method
A Abdulle, E Weinan, B Engquist, E Vanden-Eijnden
Acta Numerica 21, 1-87, 2012
Finite temperature string method for the study of rare events
E Weinan, W Ren, E Vanden-Eijnden
J. Phys. Chem. B 109 (14), 6688-6693, 2005
Transition-path theory and path-finding algorithms for the study of rare events.
E Vanden-Eijnden
Annual review of physical chemistry 61, 391-420, 2010
Heterogeneous multiscale method: a general methodology for multiscale modeling
E Weinan, B Engquist, Z Huang
Physical Review B 67 (9), 092101, 2003
A proposal on machine learning via dynamical systems
E Weinan
Communications in Mathematics and Statistics 5 (1), 1-11, 2017
Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations
E Weinan, J Han, A Jentzen
Communications in Mathematics and Statistics 5 (4), 349-380, 2017
Invariant measures for Burgers equation with stochastic forcing
E Weinan, K Khanin, A Mazel, Y Sinai
Annals of Mathematics, 877-960, 2000
Vorticity boundary condition and related issues for finite difference schemes
E Weinan, JG Liu
Journal of computational physics 124 (2), 368-382, 1996
Boundary conditions for the moving contact line problem
W Ren, W E
Physics of fluids 19 (2), 022101, 2007
Heterogeneous multiscale method for the modeling of complex fluids and micro-fluidics
W Ren, E Weinan
Journal of Computational Physics 204 (1), 1-26, 2005
Multiscale modeling and computation
E Weinan, B Engquist
Notices of the AMS 50 (9), 1062-1070, 2003
Towards a theory of transition paths
E Weinan, E Vanden-Eijnden
Journal of statistical physics 123 (3), 503-523, 2006
Transition pathways in complex systems: Application of the finite-temperature string method to the alanine dipeptide
W Ren, E Vanden-Eijnden, P Maragakis, W E
The Journal of chemical physics 123 (13), 134109, 2005
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