Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients M Hutzenthaler, A Jentzen, PE Kloeden Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011 | 301 | 2011 |

Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients M Hutzenthaler, A Jentzen, PE Kloeden The Annals of Applied Probability 22 (4), 1611-1641, 2012 | 281 | 2012 |

Numerical approximations of stochastic differential equations with non-globally Lipschitz continuous coefficients M Hutzenthaler, A Jentzen American Mathematical Society 236 (1112), 2015 | 177 | 2015 |

Loss of regularity for Kolmogorov equations M Hairer, M Hutzenthaler, A Jentzen The Annals of Probability 43 (2), 468-527, 2015 | 84 | 2015 |

Divergence of the multilevel Monte Carlo Euler method for nonlinear stochastic differential equations M Hutzenthaler, A Jentzen, PE Kloeden The Annals of Applied Probability 23 (5), 1913-1966, 2013 | 83 | 2013 |

On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with non-globally monotone coefficients M Hutzenthaler, A Jentzen arXiv preprint arXiv:1401.0295, 2014 | 78* | 2014 |

Local Lipschitz continuity in the initial value and strong completeness for nonlinear stochastic differential equations S Cox, M Hutzenthaler, A Jentzen arXiv preprint arXiv:1309.5595, 2013 | 51 | 2013 |

Exponential integrability properties of numerical approximation processes for nonlinear stochastic differential equations M Hutzenthaler, A Jentzen, X Wang Mathematics of Computation 87 (311), 1353-1413, 2018 | 47 | 2018 |

A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations M Hutzenthaler, A Jentzen, T Kruse, TA Nguyen SN Partial Differential Equations and Applications 1, 1-34, 2020 | 44 | 2020 |

Convergence of the stochastic Euler scheme for locally Lipschitz coefficients M Hutzenthaler, A Jentzen Foundations of Computational Mathematics, 1-50, 2011 | 39 | 2011 |

Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations M Hutzenthaler, A Jentzen, T Kruse, TA Nguyen, P von Wurstemberger arXiv preprint arXiv:1807.01212, 2018 | 36 | 2018 |

Ergodic behavior of locally regulated branching populations M Hutzenthaler, A Wakolbinger The Annals of Applied Probability 17 (2), 474-501, 2007 | 36 | 2007 |

Branching diffusions in random environment C Boeinghoff, M Hutzenthaler arXiv preprint arXiv:1107.2773, 2011 | 31 | 2011 |

Strong convergence of full-discrete nonlinearity-truncated accelerated exponential Euler-type approximations for stochastic Kuramoto-Sivashinsky equations M Hutzenthaler, A Jentzen, D Salimova arXiv preprint arXiv:1604.02053, 2016 | 29 | 2016 |

Strong convergence rates and temporal regularity for Cox-Ingersoll-Ross processes and Bessel processes with accessible boundaries M Hutzenthaler, A Jentzen, M Noll arXiv preprint arXiv:1403.6385, 2014 | 28 | 2014 |

Norovirus GII. 4 and GII. 7 capsid sequences undergo positive selection in chronically infected patients D Hoffmann, M Hutzenthaler, J Seebach, M Panning, A Umgelter, ... Infection, Genetics and Evolution 12 (2), 461-466, 2012 | 28 | 2012 |

Multilevel Picard iterations for solving smooth semilinear parabolic heat equations W E, M Hutzenthaler, A Jentzen, T Kruse arXiv preprint arXiv:1607.03295, 2016 | 24* | 2016 |

Convergence in H\" older norms with applications to Monte Carlo methods in infinite dimensions S Cox, M Hutzenthaler, A Jentzen, J van Neerven, T Welti arXiv preprint arXiv:1605.00856, 2016 | 21 | 2016 |

On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic … W E, M Hutzenthaler, A Jentzen, T Kruse Journal of Scientific Computing 79 (3), 1534-1571, 2019 | 20* | 2019 |

Supercritical branching diffusions in random environment M Hutzenthaler Electronic Communications in Probability 16, 781-791, 2011 | 20 | 2011 |