String method for the study of rare events E Weinan, W Ren, E Vanden-Eijnden Physical Review B 66 (5), 052301, 2002 | 998* | 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 | 586 | 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 | 464 | 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 | 454 | 1994 |

The heterogeneous multiscale method: A review E Weinan, B Engquist, X Li, W Ren, E Vanden-Eijnden Commun. Comput. Phys, 2007 | 429 | 2007 |

The heterognous multiscale methods E Weinan, B Engquist Communications in Mathematical Sciences 1 (1), 87-132, 2003 | 424 | 2003 |

Principles of multiscale modeling E Weinan Cambridge University Press, 2011 | 361 | 2011 |

The heterogeneous multiscale method A Abdulle, E Weinan, B Engquist, E Vanden-Eijnden Acta Numerica 21, 1-87, 2012 | 353 | 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 | 284 | 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 | 266 | 2010 |

Heterogeneous multiscale method: a general methodology for multiscale modeling E Weinan, B Engquist, Z Huang Physical Review B 67 (9), 092101, 2003 | 258 | 2003 |

A proposal on machine learning via dynamical systems E Weinan Communications in Mathematics and Statistics 5 (1), 1-11, 2017 | 250 | 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 | 242 | 2017 |

Invariant measures for Burgers equation with stochastic forcing E Weinan, K Khanin, A Mazel, Y Sinai Annals of Mathematics, 877-960, 2000 | 231 | 2000 |

Vorticity boundary condition and related issues for finite difference schemes E Weinan, JG Liu Journal of computational physics 124 (2), 368-382, 1996 | 222 | 1996 |

Boundary conditions for the moving contact line problem W Ren, W E Physics of fluids 19 (2), 022101, 2007 | 221 | 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 | 218 | 2005 |

Multiscale modeling and computation E Weinan, B Engquist Notices of the AMS 50 (9), 1062-1070, 2003 | 206 | 2003 |

Towards a theory of transition paths E Weinan, E Vanden-Eijnden Journal of statistical physics 123 (3), 503-523, 2006 | 204 | 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 | 200 | 2005 |