A Derivative-Free Method for Solving Elliptic Partial Differential Equations with Deep Neural Networks

17 January 2020

Papers citing "A Derivative-Free Method for Solving Elliptic Partial Differential Equations with Deep Neural Networks"

6 / 6 papers shown

Title
Solving Poisson Equations using Neural Walk-on-Spheres Hong Chul Nam Julius Berner Anima Anandkumar 20 3 0 05 Jun 2024
A Survey on Solving and Discovering Differential Equations Using Deep Neural Networks Hyeonjung Jung Jung Jayant Gupta B. Jayaprakash Matthew J. Eagon Harish Selvam Carl Molnar W. Northrop Shashi Shekhar AI4CE 33 5 0 26 Apr 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 44 4 0 10 Feb 2023
A Neural Network Approach for Homogenization of Multiscale Problems Jihun Han Yoonsang Lee 33 13 0 04 Jun 2022
Interpolating between BSDEs and PINNs: deep learning for elliptic and parabolic boundary value problems Nikolas Nusken Lorenz Richter PINN DiffM 28 27 0 07 Dec 2021
Hierarchical Learning to Solve Partial Differential Equations Using Physics-Informed Neural Networks Jihun Han Yoonsang Lee AI4CE 22 10 0 02 Dec 2021