String method for the study of rare events E Weinan, W Ren, E Vanden-Eijnden Physical Review B 66 (5), 052301, 2002 | 1100* | 2002 |

Solving high-dimensional partial differential equations using deep learning J Han, A Jentzen, W E Proceedings of the National Academy of Sciences 115 (34), 8505-8510, 2018 | 989 | 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 | 776 | 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 | 524 | 1994 |

The heterogeneous multiscale method: A review E Weinan, B Engquist, X Li, W Ren, E Vanden-Eijnden Commun. Comput. Phys, 2007 | 461 | 2007 |

The heterognous multiscale methods E Weinan, B Engquist Communications in Mathematical Sciences 1 (1), 87-132, 2003 | 459 | 2003 |

Principles of multiscale modeling E Weinan Cambridge University Press, 2011 | 406 | 2011 |

DeePMD-kit: A deep learning package for many-body potential energy representation and molecular dynamics H Wang, L Zhang, J Han, E Weinan Computer Physics Communications 228, 178-184, 2018 | 391 | 2018 |

Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations J Han, A Jentzen Communications in mathematics and statistics 5 (4), 349-380, 2017 | 374 | 2017 |

A proposal on machine learning via dynamical systems E Weinan Communications in Mathematics and Statistics 1 (5), 1-11, 2017 | 368 | 2017 |

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 | 314 | 2010 |

The heterogeneous multiscale method A Abdulle, E Weinan, B Engquist, E Vanden-Eijnden Acta Numerica 21, 1-87, 2012 | 304 | 2012 |

Heterogeneous multiscale method: a general methodology for multiscale modeling E Weinan, B Engquist, Z Huang Physical Review B 67 (9), 092101, 2003 | 281 | 2003 |

Invariant measures for Burgers equation with stochastic forcing E Weinan, K Khanin, A Mazel, Y Sinai Annals of mathematics, 877-960, 2000 | 253 | 2000 |

Boundary conditions for the moving contact line problem W Ren, W E Physics of fluids 19 (2), 022101, 2007 | 252 | 2007 |

Active learning of uniformly accurate interatomic potentials for materials simulation L Zhang, DY Lin, H Wang, R Car, E Weinan Physical Review Materials 3 (2), 023804, 2019 | 250 | 2019 |

Towards a theory of transition paths E Vanden-Eijnden Journal of statistical physics 123 (3), 503-523, 2006 | 244 | 2006 |

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 | 227 | 2005 |

Multiscale modeling and computation E Weinan, B Engquist Notices of the AMS 50 (9), 1062-1070, 2003 | 222 | 2003 |

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 |