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Approximation of Solution Operators for High-dimensional PDEs

Approximation of Solution Operators for High-dimensional PDEs

18 January 2024
Nathan Gaby
Xiaojing Ye
ArXivPDFHTML

Papers citing "Approximation of Solution Operators for High-dimensional PDEs"

5 / 5 papers shown
Title
SPINN: Sparse, Physics-based, and partially Interpretable Neural
  Networks for PDEs
SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs
A. A. Ramabathiran
P. Ramachandran
PINN
AI4CE
27
76
0
25 Feb 2021
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
205
2,282
0
18 Oct 2020
Multi-scale Deep Neural Network (MscaleDNN) for Solving
  Poisson-Boltzmann Equation in Complex Domains
Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains
Ziqi Liu
Wei Cai
Zhi-Qin John Xu
AI4CE
211
122
0
22 Jul 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
125
508
0
11 Mar 2020
Deep Learning with Domain Adaptation for Accelerated
  Projection-Reconstruction MR
Deep Learning with Domain Adaptation for Accelerated Projection-Reconstruction MR
Yoseob Han
J. Yoo
J. C. Ye
MedIm
OOD
100
231
0
03 Mar 2017
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