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A Survey on Solving and Discovering Differential Equations Using Deep
  Neural Networks

A Survey on Solving and Discovering Differential Equations Using Deep Neural Networks

26 April 2023
Hyeonjung Jung
Jung
Jayant Gupta
B. Jayaprakash
Matthew J. Eagon
Harish Selvam
Carl Molnar
W. Northrop
Shashi Shekhar
    AI4CE
ArXivPDFHTML

Papers citing "A Survey on Solving and Discovering Differential Equations Using Deep Neural Networks"

5 / 5 papers shown
Title
Grammar-based Ordinary Differential Equation Discovery
Grammar-based Ordinary Differential Equation Discovery
Karin L. Yu
Eleni Chatzi
Georgios Kissas
33
0
0
03 Apr 2025
From Continuous Dynamics to Graph Neural Networks: Neural Diffusion and
  Beyond
From Continuous Dynamics to Graph Neural Networks: Neural Diffusion and Beyond
Andi Han
Dai Shi
Lequan Lin
Junbin Gao
AI4CE
GNN
33
20
0
16 Oct 2023
Fourier Neural Operator for Parametric Partial Differential Equations
Fourier Neural Operator for Parametric Partial Differential Equations
Zong-Yi Li
Nikola B. Kovachki
Kamyar Azizzadenesheli
Burigede Liu
K. Bhattacharya
Andrew M. Stuart
Anima Anandkumar
AI4CE
197
2,254
0
18 Oct 2020
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain
  Decomposition
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition
E. Kharazmi
Zhongqiang Zhang
George Karniadakis
104
503
0
11 Mar 2020
An Energy Approach to the Solution of Partial Differential Equations in
  Computational Mechanics via Machine Learning: Concepts, Implementation and
  Applications
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications
E. Samaniego
C. Anitescu
S. Goswami
Vien Minh Nguyen-Thanh
Hongwei Guo
Khader M. Hamdia
Timon Rabczuk
X. Zhuang
PINN
AI4CE
129
1,010
0
27 Aug 2019
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