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LordNet: An Efficient Neural Network for Learning to Solve Parametric Partial Differential Equations without Simulated Data
19 June 2022
Xinquan Huang
Wenlei Shi
Xiaotian Gao
Xinran Wei
Jia Zhang
Jiang Bian
Mao Yang
Tie-Yan Liu
PINN
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Papers citing
"LordNet: An Efficient Neural Network for Learning to Solve Parametric Partial Differential Equations without Simulated Data"
7 / 7 papers shown
Title
NeuralStagger: Accelerating Physics-constrained Neural PDE Solver with Spatial-temporal Decomposition
Xinquan Huang
Wenlei Shi
Qi Meng
Yue Wang
Xiaotian Gao
Jia Zhang
Tie-Yan Liu
AI4CE
21
8
0
20 Feb 2023
Clifford Neural Layers for PDE Modeling
Johannes Brandstetter
Rianne van den Berg
Max Welling
Jayesh K. Gupta
AI4CE
60
79
0
08 Sep 2022
Spline-PINN: Approaching PDEs without Data using Fast, Physics-Informed Hermite-Spline CNNs
Nils Wandel
Michael Weinmann
Michael Neidlin
Reinhard Klein
AI4CE
50
58
0
15 Sep 2021
Finite Basis Physics-Informed Neural Networks (FBPINNs): a scalable domain decomposition approach for solving differential equations
Benjamin Moseley
Andrew Markham
T. Nissen‐Meyer
PINN
40
207
0
16 Jul 2021
MLP-Mixer: An all-MLP Architecture for Vision
Ilya O. Tolstikhin
N. Houlsby
Alexander Kolesnikov
Lucas Beyer
Xiaohua Zhai
...
Andreas Steiner
Daniel Keysers
Jakob Uszkoreit
Mario Lucic
Alexey Dosovitskiy
239
2,600
0
04 May 2021
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
203
2,281
0
18 Oct 2020
Deep neural network solution of the electronic Schrödinger equation
J. Hermann
Zeno Schätzle
Frank Noé
144
445
0
16 Sep 2019
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