Neural networks-based backward scheme for fully nonlinear PDEs

31 July 2019

Papers citing "Neural networks-based backward scheme for fully nonlinear PDEs"

13 / 13 papers shown

Title
Approximation of Solution Operators for High-dimensional PDEs Nathan Gaby Xiaojing Ye 30 0 0 18 Jan 2024
A deep learning approach to the probabilistic numerical solution of path-dependent partial differential equations Jiang Yu Nguwi Nicolas Privault 49 5 0 28 Sep 2022
Is $L^2$ Physics-Informed Loss Always Suitable for Training Physics-Informed Neural Network? Chuwei Wang Shanda Li Di He Liwei Wang AI4CE PINN 31 28 0 04 Jun 2022
A deep branching solver for fully nonlinear partial differential equations Jiang Yu Nguwi Guillaume Penent Nicolas Privault 19 14 0 07 Mar 2022
A novel control method for solving high-dimensional Hamiltonian systems through deep neural networks Shaolin Ji S. Peng Ying Peng Xichuan Zhang 19 1 0 04 Nov 2021
Cell-average based neural network method for hyperbolic and parabolic partial differential equations Changxin Qiu Jue Yan 21 10 0 02 Jul 2021
Neural network architectures using min-plus algebra for solving certain high dimensional optimal control problems and Hamilton-Jacobi PDEs Jérome Darbon P. Dower Tingwei Meng 8 22 0 07 May 2021
An overview on deep learning-based approximation methods for partial differential equations C. Beck Martin Hutzenthaler Arnulf Jentzen Benno Kuckuck 30 146 0 22 Dec 2020
Solving non-linear Kolmogorov equations in large dimensions by using deep learning: a numerical comparison of discretization schemes Raffaele Marino N. Macris 24 16 0 09 Dec 2020
Convergence of Deep Fictitious Play for Stochastic Differential Games Jiequn Han Ruimeng Hu Jihao Long 21 19 0 12 Aug 2020
Space-time deep neural network approximations for high-dimensional partial differential equations F. Hornung Arnulf Jentzen Diyora Salimova AI4CE 29 19 0 03 Jun 2020
Uniform error estimates for artificial neural network approximations for heat equations Lukas Gonon Philipp Grohs Arnulf Jentzen David Kofler David Siska 32 34 0 20 Nov 2019
Space-time error estimates for deep neural network approximations for differential equations Philipp Grohs F. Hornung Arnulf Jentzen Philipp Zimmermann 34 33 0 11 Aug 2019