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2111.01394
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Solving Partial Differential Equations with Point Source Based on Physics-Informed Neural Networks
2 November 2021
Xiang Huang
Hongsheng Liu
Beiji Shi
Zidong Wang
Kan Yang
Yang Li
Bingya Weng
Min Wang
Haotian Chu
Jing Zhou
Fan Yu
Bei Hua
Lei Chen
Bin Dong
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Papers citing
"Solving Partial Differential Equations with Point Source Based on Physics-Informed Neural Networks"
12 / 12 papers shown
Title
Improved physics-informed neural network in mitigating gradient related failures
Pancheng Niu
Yongming Chen
Jun Guo
Yuqian Zhou
Minfu Feng
Yanchao Shi
PINN
AI4CE
26
0
0
28 Jul 2024
A Noise-robust Multi-head Attention Mechanism for Formation Resistivity Prediction: Frequency Aware LSTM
Yongan Zhang
Junfeng Zhao
Jian Li
Xuanran Wang
Youzhuang Sun
Yuntian Chen
Dongxiao Zhang
29
0
0
06 Jun 2024
Simple initialization and parametrization of sinusoidal networks via their kernel bandwidth
Filipe de Avila Belbute-Peres
J. Zico Kolter
13
2
0
26 Nov 2022
Solving Elliptic Problems with Singular Sources using Singularity Splitting Deep Ritz Method
Tianhao Hu
Bangti Jin
Zhi Zhou
31
6
0
07 Sep 2022
Wave simulation in non-smooth media by PINN with quadratic neural network and PML condition
Yanqi Wu
H. Aghamiry
S. Operto
Jianwei Ma
13
1
0
16 Aug 2022
Stochastic Scaling in Loss Functions for Physics-Informed Neural Networks
Ethan A Mills
Alexey Pozdnyakov
16
0
0
07 Aug 2022
Overview frequency principle/spectral bias in deep learning
Z. Xu
Yaoyu Zhang
Tao Luo
FaML
33
66
0
19 Jan 2022
Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next
S. Cuomo
Vincenzo Schiano Di Cola
F. Giampaolo
G. Rozza
Maizar Raissi
F. Piccialli
PINN
26
1,180
0
14 Jan 2022
Learning Green's Functions of Linear Reaction-Diffusion Equations with Application to Fast Numerical Solver
Yuankai Teng
Xiaoping Zhang
Zhu Wang
L. Ju
16
14
0
23 May 2021
NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework
O. Hennigh
S. Narasimhan
M. A. Nabian
Akshay Subramaniam
Kaustubh Tangsali
M. Rietmann
J. Ferrandis
Wonmin Byeon
Z. Fang
S. Choudhry
PINN
AI4CE
93
126
0
14 Dec 2020
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
238
2,298
0
18 Oct 2020
Multi-scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains
Ziqi Liu
Wei Cai
Zhi-Qin John Xu
AI4CE
244
157
0
22 Jul 2020
1