A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant … A Jentzen, D Salimova, T Welti arXiv preprint arXiv:1809.07321, 2018 | 50 | 2018 |

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 for explicit space–time discrete numerical approximation methods for stochastic Burgers equations A Jentzen, D Salimova, T Welti Journal of Mathematical Analysis and Applications 469 (2), 661-704, 2019 | 19 | 2019 |

Deep neural network approximations for Monte Carlo algorithms P Grohs, A Jentzen, D Salimova arXiv preprint arXiv:1908.10828, 2019 | 15 | 2019 |

Strong and weak divergence of exponential and linear-implicit Euler approximations for stochastic partial differential equations with superlinearly growing nonlinearities M Beccari, M Hutzenthaler, A Jentzen, R Kurniawan, F Lindner, ... arXiv preprint arXiv:1903.06066, 2019 | 14 | 2019 |

On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions M Gerencsér, A Jentzen, D Salimova Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2017 | 14 | 2017 |

Existence, uniqueness, and numerical approximations for stochastic Burgers equations S Mazzonetto, D Salimova Stochastic Analysis and Applications 38 (4), 623-646, 2020 | 3 | 2020 |

Existence and uniqueness properties for solutions of a class of Banach space valued evolution equations A Jentzen, S Mazzonetto, D Salimova arXiv preprint arXiv:1812.06859, 2018 | 2 | 2018 |

Space-time deep neural network approximations for high-dimensional partial differential equations F Hornung, A Jentzen, D Salimova arXiv preprint arXiv:2006.02199, 2020 | 1 | 2020 |

Weak error analysis for stochastic gradient descent optimization algorithms A Bercher, L Gonon, A Jentzen, D Salimova arXiv preprint arXiv:2007.02723, 2020 | | 2020 |

Numerical approximation results for semilinear parabolic partial differential equations D Salimova ETH Zurich, 2019 | | 2019 |

On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions D Salimova 2017 Foundations of Computational Mathematics: Book of Abstracts, 90-90, 2017 | | 2017 |

Efficient stochastic numerical approximation algorithms for high-dimensional nonlinear PDEs A Jentzen, E Weinan, M Gerencsér, M Hairer, M Hefter, M Hutzenthaler, ... Conference on Nonlinear PDEs, Stochastic Control and Filtering, ICMS, 2017 | | 2017 |

On numerical approximation algorithms for high-dimensional nonlinear PDEs, nonlinear SDEs, and high-dimensional nonlinear FBSDEs A Jentzen, E Weinan, M Gerencsér, M Hairer, M Hefter, M Hutzenthaler, ... KI-Net Conference: Selected topics in transport phenomena: deterministic and …, 2017 | | 2017 |

On approximation algorithms for stochastic ordinary differential equations (SDEs) and stochastic partial differential equations (SPDEs) A Jentzen, G Da Prato, E Weinan, M Gerencsér, M Hairer, M Hefter, ... Workshop on Infinite Dimensional Probability, King's College London, 2017 | | 2017 |

Stochastic algorithms for the approximative pricing of financial derivatives A Jentzen, E Weinan, M Gerencsér, M Hairer, M Hefter, M Hutzenthaler, ... Seminar in Mathematical Finance and Probability, 2017 | | 2017 |

Numerical approximations for stochastic ordinary and partial differential equations A Jentzen, A Debussche, G Da Prato, M Hairer, M Hutzenthaler, ... School of Stochastic Dynamical Systems and Ergodicity, 2016 | | 2016 |

On an inequality in involving Basel problem ZO Ibragimov, DF Salimova Elemente der Mathematik 70 (2), 79-81, 2015 | | 2015 |