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
137 2020 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
Proceeding of Royal Society A, https://doi.org/10.1098/rspa.2019.0630, 2020
90 2020 Quenched invariance principles for the random conductance model on a random graph with degenerate ergodic weights JD Deuschel, TA Nguyen, M Slowik
Probability Theory and Related Fields 170, 363-386, 2018
33 2018 Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities M Hutzenthaler, A Jentzen, T Kruse, TA Nguyen
arXiv preprint arXiv:2009.02484, 2020
14 2020 The random conductance model under degenerate conditions TA Nguyen
PQDT-Global, 2017
8 2017 Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations M Hutzenthaler, A Jentzen, T Kruse, TA Nguyen
Journal of Numerical Mathematics, 2022
4 2022 Multilevel Picard approximations for McKean-Vlasov stochastic differential equations M Hutzenthaler, T Kruse, TA Nguyen
Journal of Mathematical Analysis and Applications 507 (1), 125761, 2022
4 2022 Multilevel Picard approximations of high-dimensional semilinear partial differential equations with locally monotone coefficient functions M Hutzenthaler, TA Nguyen
arXiv:2202.02582, 2022
2 2022 On the speed of convergence of Picard iterations of backward stochastic differential equations M Hutzenthaler, T Kruse, TA Nguyen
arXiv preprint arXiv:2107.01840, 2021
2 2021 Strong convergence rate of Euler-Maruyama approximations in temporal-spatial Hölder-norms TA Nguyen, M Hutzenthaler
1 * 2021 A Liouville principle for the random conductance model under degenerate conditions TA Nguyen
arXiv preprint arXiv:1908.10691, 2019
1 2019 A path-dependent stochastic Gronwall inequality and strong convergence rate for stochastic functional differential equations M Hutzenthaler, TA Nguyen
arXiv preprint arXiv:2206.01049, 2022
2022 Multilevel Picard approximations for high-dimensional decoupled forward-backward stochastic differential equations M Hutzenthaler, TA Nguyen
arXiv preprint arXiv:2204.08511, 2022
2022 An L p TA Nguyen
Potential Analysis 56 (3), 351-407, 2022
2022 An TA Nguyen
Potential Analysis, https://doi.org/10.1007/s11118-020-09888, 2020
2020 A black-box model of optical amplifier chains in optical fibre telecommunications systems TA Nguyen, QB Phung
H.: ĐHQGHN, 2003
2003 