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

6 / 6 papers shown
Title
A Derivative-Free Method for Solving Elliptic Partial Differential
  Equations with Deep Neural Networks
A Derivative-Free Method for Solving Elliptic Partial Differential Equations with Deep Neural Networks
Jihun Han
Mihai Nica
A. Stinchcombe
41
50
0
17 Jan 2020
Physics-Informed Neural Networks for Multiphysics Data Assimilation with
  Application to Subsurface Transport
Physics-Informed Neural Networks for Multiphysics Data Assimilation with Application to Subsurface Transport
Qizhi He
D. Barajas-Solano
G. Tartakovsky
A. Tartakovsky
AI4CE
27
258
0
06 Dec 2019
Deep splitting method for parabolic PDEs
Deep splitting method for parabolic PDEs
C. Beck
S. Becker
Patrick Cheridito
Arnulf Jentzen
Ariel Neufeld
48
127
0
08 Jul 2019
Neural Stochastic Differential Equations: Deep Latent Gaussian Models in
  the Diffusion Limit
Neural Stochastic Differential Equations: Deep Latent Gaussian Models in the Diffusion Limit
Belinda Tzen
Maxim Raginsky
DiffM
52
207
0
23 May 2019
The Deep Ritz method: A deep learning-based numerical algorithm for
  solving variational problems
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems
E. Weinan
Ting Yu
83
1,373
0
30 Sep 2017
Why Deep Neural Networks for Function Approximation?
Why Deep Neural Networks for Function Approximation?
Shiyu Liang
R. Srikant
52
383
0
13 Oct 2016
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