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On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs
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On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs

Yeonjong Shin
Jérome Darbon
George Karniadakis
    PINN
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Papers citing "On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs"

8 / 8 papers shown
Title
Understanding and mitigating gradient pathologies in physics-informed neural networks
Understanding and mitigating gradient pathologies in physics-informed neural networks
Sizhuang He
Yujun Teng
P. Perdikaris
AI4CEPINN
97
296
0
13 Jan 2020
DeepXDE: A deep learning library for solving differential equations
DeepXDE: A deep learning library for solving differential equations
Lu Lu
Xuhui Meng
Zhiping Mao
George Karniadakis
PINNAI4CE
97
1,538
0
10 Jul 2019
Learning in Modal Space: Solving Time-Dependent Stochastic PDEs Using Physics-Informed Neural Networks
Learning in Modal Space: Solving Time-Dependent Stochastic PDEs Using Physics-Informed Neural Networks
Dongkun Zhang
Ling Guo
George Karniadakis
AI4CE
73
213
0
03 May 2019
A unified deep artificial neural network approach to partial differential equations in complex geometries
A unified deep artificial neural network approach to partial differential equations in complex geometries
Jens Berg
K. Nystrom
AI4CE
63
586
0
17 Nov 2017
Consistency of Lipschitz learning with infinite unlabeled data and finite labeled data
Consistency of Lipschitz learning with infinite unlabeled data and finite labeled data
Jeff Calder
57
62
0
28 Oct 2017
DGM: A deep learning algorithm for solving partial differential equations
DGM: A deep learning algorithm for solving partial differential equations
Justin A. Sirignano
K. Spiliopoulos
AI4CE
91
2,063
0
24 Aug 2017
An overview of gradient descent optimization algorithms
An overview of gradient descent optimization algorithms
Sebastian Ruder
ODL
204
6,199
0
15 Sep 2016
Adam: A Method for Stochastic Optimization
Adam: A Method for Stochastic Optimization
Diederik P. Kingma
Jimmy Ba
ODL
1.9K
150,260
0
22 Dec 2014

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