A Discussion on Solving Partial Differential Equations using Neural Networks

15 April 2019

Papers citing "A Discussion on Solving Partial Differential Equations using Neural Networks"

22 / 22 papers shown

Title
DeepNetBeam: A Framework for the Analysis of Functionally Graded Porous Beams M. Eshaghi M. Bamdad C. Anitescu Yizheng Wang X. Zhuang Timon Rabczuk AI4CE 84 8 0 04 Aug 2024
Dirichlet-Neumann learning algorithm for solving elliptic interface problems Qi Sun Xuejun Xu Haotian Yi 47 3 0 18 Jan 2023
Qade: Solving Differential Equations on Quantum Annealers J. C. Criado M. Spannowsky 62 13 0 07 Apr 2022
Interpolating between BSDEs and PINNs: deep learning for elliptic and parabolic boundary value problems Nikolas Nusken Lorenz Richter PINN DiffM 103 30 0 07 Dec 2021
Study of Drug Assimilation in Human System using Physics Informed Neural Networks Kanupriya Goswami Arpana Sharma Madhu Pruthi Richa Gupta 57 11 0 08 Oct 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 46 22 0 07 May 2021
Adversarial Multi-task Learning Enhanced Physics-informed Neural Networks for Solving Partial Differential Equations Pongpisit Thanasutives M. Numao Ken-ichi Fukui AI4CE 55 27 0 29 Apr 2021
A Swarm Variant for the Schrödinger Solver U. Jivani Omatharv Bharat Vaidya Anwesh Bhattacharya Snehanshu Saha 13 2 0 10 Apr 2021
Elvet -- a neural network-based differential equation and variational problem solver Jack Y. Araz J. C. Criado M. Spannowsky 65 13 0 26 Mar 2021
dNNsolve: an efficient NN-based PDE solver V. Guidetti F. Muia Y. Welling A. Westphal 50 6 0 15 Mar 2021
Deep Neural Network Based Differential Equation Solver for HIV Enzyme Kinetics J. Stember Parvathy Jayan H. Shalu 35 2 0 16 Feb 2021
SEMULATOR: Emulating the Dynamics of Crossbar Array-based Analog Neural System with Regression Neural Networks Chaeun Lee Seyoung Kim 43 0 0 19 Jan 2021
An overview on deep learning-based approximation methods for partial differential equations C. Beck Martin Hutzenthaler Arnulf Jentzen Benno Kuckuck 117 153 0 22 Dec 2020
A hybrid MGA-MSGD ANN training approach for approximate solution of linear elliptic PDEs H. Dehghani A. Zilian AI4CE 19 10 0 18 Dec 2020
Discovery of Governing Equations with Recursive Deep Neural Networks Jia Zhao Jarrod Mau PINN 70 7 0 24 Sep 2020
Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks Colby Wight Jia Zhao 82 225 0 09 Jul 2020
Space-time deep neural network approximations for high-dimensional partial differential equations F. Hornung Arnulf Jentzen Diyora Salimova AI4CE 75 20 0 03 Jun 2020
Fourier Neural Networks as Function Approximators and Differential Equation Solvers M. Ngom O. Marin 49 2 0 27 May 2020
Model Reduction and Neural Networks for Parametric PDEs K. Bhattacharya Bamdad Hosseini Nikola B. Kovachki Andrew M. Stuart 248 334 0 07 May 2020
Uniform error estimates for artificial neural network approximations for heat equations Lukas Gonon Philipp Grohs Arnulf Jentzen David Kofler David Siska 83 34 0 20 Nov 2019
Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic PDEs Z. Cai Jingshuang Chen Min Liu Xinyu Liu 95 90 0 05 Nov 2019
Deep neural network approximations for Monte Carlo algorithms Philipp Grohs Arnulf Jentzen Diyora Salimova 52 34 0 28 Aug 2019