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DeepXDE: A deep learning library for solving differential equations
v1v2 (latest)

DeepXDE: A deep learning library for solving differential equations

10 July 2019
Lu Lu
Xuhui Meng
Zhiping Mao
George Karniadakis
    PINNAI4CE
ArXiv (abs)PDFHTML

Papers citing "DeepXDE: A deep learning library for solving differential equations"

50 / 484 papers shown
Title
Multilevel Picard approximations and deep neural networks with ReLU, leaky ReLU, and softplus activation overcome the curse of dimensionality when approximating semilinear parabolic partial differential equations in $L^p$-sense
Multilevel Picard approximations and deep neural networks with ReLU, leaky ReLU, and softplus activation overcome the curse of dimensionality when approximating semilinear parabolic partial differential equations in LpL^pLp-sense
Ariel Neufeld
Tuan Anh Nguyen
83
0
0
30 Sep 2024
Cauchy activation function and XNet
Cauchy activation function and XNet
Xin Li
Zhihong Xia
Hongkun Zhang
191
6
0
28 Sep 2024
Efficient and generalizable nested Fourier-DeepONet for
  three-dimensional geological carbon sequestration
Efficient and generalizable nested Fourier-DeepONet for three-dimensional geological carbon sequestration
Jonathan E. Lee
Min Zhu
Ziqiao Xi
Kun Wang
Yanhua O. Yuan
Lu Lu
AI4CE
60
3
0
25 Sep 2024
ASPINN: An asymptotic strategy for solving singularly perturbed
  differential equations
ASPINN: An asymptotic strategy for solving singularly perturbed differential equations
Sen Wang
Peizhi Zhao
Tao Song
116
0
0
20 Sep 2024
Symmetry Breaking in Neural Network Optimization: Insights from Input
  Dimension Expansion
Symmetry Breaking in Neural Network Optimization: Insights from Input Dimension Expansion
Jun-Jie Zhang
Nan Cheng
Fu-Peng Li
Xiu-Cheng Wang
Jian-Nan Chen
Long-Gang Pang
Deyu Meng
75
0
0
10 Sep 2024
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling
Alex Glyn-Davies
Arnaud Vadeboncoeur
O. Deniz Akyildiz
Ieva Kazlauskaite
Mark Girolami
PINN
143
0
0
10 Sep 2024
Differentiable programming across the PDE and Machine Learning barrier
Differentiable programming across the PDE and Machine Learning barrier
N. Bouziani
David A. Ham
Ado Farsi
PINNAI4CE
66
1
0
09 Sep 2024
PINNIES: An Efficient Physics-Informed Neural Network Framework to
  Integral Operator Problems
PINNIES: An Efficient Physics-Informed Neural Network Framework to Integral Operator Problems
Alireza Afzal Aghaei
Mahdi Movahedian Moghaddam
Kourosh Parand
56
4
0
03 Sep 2024
Dataset Distillation from First Principles: Integrating Core Information
  Extraction and Purposeful Learning
Dataset Distillation from First Principles: Integrating Core Information Extraction and Purposeful Learning
Vyacheslav Kungurtsev
Yuanfang Peng
Jianyang Gu
Saeed Vahidian
Anthony Quinn
Fadwa Idlahcen
Yiran Chen
FedMLDD
116
2
0
02 Sep 2024
Two-stage initial-value iterative physics-informed neural networks for
  simulating solitary waves of nonlinear wave equations
Two-stage initial-value iterative physics-informed neural networks for simulating solitary waves of nonlinear wave equations
Jin Song
Ming Zhong
George Karniadakis
Zhenya Yan
PINN
77
14
0
02 Sep 2024
Physics-informed DeepONet with stiffness-based loss functions for
  structural response prediction
Physics-informed DeepONet with stiffness-based loss functions for structural response prediction
Bilal Ahmed
Yuqing Qiu
Diab W. Abueidda
Waleed El-Sekelly
Borja Garcia de Soto
Tarek Abdoun
M. Mobasher
50
0
0
02 Sep 2024
Adapting Physics-Informed Neural Networks for Bifurcation Detection in
  Ecological Migration Models
Adapting Physics-Informed Neural Networks for Bifurcation Detection in Ecological Migration Models
Lujie Yin
Xing Lv
PINN
59
0
0
01 Sep 2024
Generating Physical Dynamics under Priors
Generating Physical Dynamics under Priors
Zihan Zhou
Xiaoxue Wang
Tianshu Yu
DiffMAI4CE
150
1
0
01 Sep 2024
Fourier Spectral Physics Informed Neural Network: An Efficient and
  Low-Memory PINN
Fourier Spectral Physics Informed Neural Network: An Efficient and Low-Memory PINN
Tianchi Yu
Yiming Qi
Ivan Oseledets
Shiyi Chen
71
1
0
29 Aug 2024
Stability Analysis of Physics-Informed Neural Networks for Stiff Linear
  Differential Equations
Stability Analysis of Physics-Informed Neural Networks for Stiff Linear Differential Equations
Gianluca Fabiani
Erik Bollt
Constantinos Siettos
A. Yannacopoulos
67
1
0
27 Aug 2024
Functional Tensor Decompositions for Physics-Informed Neural Networks
Functional Tensor Decompositions for Physics-Informed Neural Networks
Sai Karthikeya Vemuri
Tim Buchner
Julia Niebling
Joachim Denzler
PINN
86
5
0
23 Aug 2024
PinnDE: Physics-Informed Neural Networks for Solving Differential
  Equations
PinnDE: Physics-Informed Neural Networks for Solving Differential Equations
Jason Matthews
Alex Bihlo
PINN
77
1
0
19 Aug 2024
Solving Oscillator Ordinary Differential Equations via Soft-constrained
  Physics-informed Neural Network with Small Data
Solving Oscillator Ordinary Differential Equations via Soft-constrained Physics-informed Neural Network with Small Data
Kai-liang Lu
Yu-meng Su
Zhuo Bi
Cheng Qiu
Wen-jun Zhang
PINN
65
0
0
19 Aug 2024
Predicting path-dependent processes by deep learning
Predicting path-dependent processes by deep learning
Xudong Zheng
Yuecai Han
42
0
0
19 Aug 2024
Model Based and Physics Informed Deep Learning Neural Network Structures
Model Based and Physics Informed Deep Learning Neural Network Structures
A. Mohammad-Djafari
Ning Chu
Li Wang
Caifang Cai
Liang Yu
PINN
65
0
0
13 Aug 2024
Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural
  networks (PINNs) more accurately, robustly and faster
Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural networks (PINNs) more accurately, robustly and faster
Chi Chiu So
Siu Pang Yung
112
8
0
09 Aug 2024
NeuroSEM: A hybrid framework for simulating multiphysics problems by
  coupling PINNs and spectral elements
NeuroSEM: A hybrid framework for simulating multiphysics problems by coupling PINNs and spectral elements
K. Shukla
Zongren Zou
Chi Hin Chan
Additi Pandey
Zhicheng Wang
George Karniadakis
PINN
91
9
0
30 Jul 2024
Neural networks for bifurcation and linear stability analysis of steady
  states in partial differential equations
Neural networks for bifurcation and linear stability analysis of steady states in partial differential equations
M. L. Shahab
Hadi Susanto
63
2
0
29 Jul 2024
Physics-informed nonlinear vector autoregressive models for the
  prediction of dynamical systems
Physics-informed nonlinear vector autoregressive models for the prediction of dynamical systems
James H. Adler
Samuel Hocking
Xiaozhe Hu
Shafiqul Islam
AI4CEPINN
109
0
0
25 Jul 2024
Sobolev neural network with residual weighting as a surrogate in linear
  and non-linear mechanics
Sobolev neural network with residual weighting as a surrogate in linear and non-linear mechanics
A.O.M. Kilicsoy
J. Liedmann
M. Valdebenito
F. Barthold
M. G. R. Faes
70
0
0
23 Jul 2024
Data-Guided Physics-Informed Neural Networks for Solving Inverse
  Problems in Partial Differential Equations
Data-Guided Physics-Informed Neural Networks for Solving Inverse Problems in Partial Differential Equations
Wei Zhou
Y. F. Xu
AI4CEPINN
93
2
0
15 Jul 2024
Generalizable Physics-Informed Learning for Stochastic Safety-Critical
  Systems
Generalizable Physics-Informed Learning for Stochastic Safety-Critical Systems
Zhuoyuan Wang
Albert Chern
Yorie Nakahira
67
0
0
11 Jul 2024
Stable Weight Updating: A Key to Reliable PDE Solutions Using Deep
  Learning
Stable Weight Updating: A Key to Reliable PDE Solutions Using Deep Learning
A. Noorizadegan
R. Cavoretto
D. Young
C. S. Chen
74
7
0
10 Jul 2024
SGM-PINN: Sampling Graphical Models for Faster Training of
  Physics-Informed Neural Networks
SGM-PINN: Sampling Graphical Models for Faster Training of Physics-Informed Neural Networks
John Anticev
Ali Aghdaei
Wuxinlin Cheng
Zhuo Feng
AI4CE
68
1
0
10 Jul 2024
Parsimonious Universal Function Approximator for Elastic and
  Elasto-Plastic Cavity Expansion Problems
Parsimonious Universal Function Approximator for Elastic and Elasto-Plastic Cavity Expansion Problems
Xiao-Xuan Chen
Pin Zhang
Hai-Sui Yu
Zhen-Yu Yin
Brian Sheil
63
2
0
08 Jul 2024
PAPM: A Physics-aware Proxy Model for Process Systems
PAPM: A Physics-aware Proxy Model for Process Systems
Pengwei Liu
Zhongkai Hao
Xingyu Ren
Hangjie Yuan
Jiayang Ren
Dong Ni
AI4CEPINN
88
0
0
07 Jul 2024
WANCO: Weak Adversarial Networks for Constrained Optimization problems
WANCO: Weak Adversarial Networks for Constrained Optimization problems
Gang Bao
Dong Wang
Boyi Zou
90
1
0
04 Jul 2024
UniFIDES: Universal Fractional Integro-Differential Equation Solvers
UniFIDES: Universal Fractional Integro-Differential Equation Solvers
Milad Saadat
Deepak Mangal
Safa Jamali
AI4CE
72
1
0
01 Jul 2024
Adaptive control of reaction-diffusion PDEs via neural
  operator-approximated gain kernels
Adaptive control of reaction-diffusion PDEs via neural operator-approximated gain kernels
Luke Bhan
Yuanyuan Shi
Miroslav Krstic
96
4
0
01 Jul 2024
Residual resampling-based physics-informed neural network for neutron
  diffusion equations
Residual resampling-based physics-informed neural network for neutron diffusion equations
Heng Zhang
Yun-Ling He
Dong Liu
Qin Hang
He-Min Yao
Di Xiang
DiffMAI4CE
41
1
0
23 Jun 2024
Physics Informed Machine Learning (PIML) methods for estimating the
  remaining useful lifetime (RUL) of aircraft engines
Physics Informed Machine Learning (PIML) methods for estimating the remaining useful lifetime (RUL) of aircraft engines
Sriram Nagaraj
Truman Hickok
AI4CE
31
1
0
21 Jun 2024
Physics-informed neural networks for parameter learning of wildfire
  spreading
Physics-informed neural networks for parameter learning of wildfire spreading
K. Vogiatzoglou
C. Papadimitriou
V. Bontozoglou
Konstantinos Ampountolas
70
2
0
20 Jun 2024
Strategies for Pretraining Neural Operators
Strategies for Pretraining Neural Operators
Anthony Zhou
Cooper Lorsung
AmirPouya Hemmasian
Amir Barati Farimani
AI4CE
98
6
0
12 Jun 2024
Error Analysis and Numerical Algorithm for PDE Approximation with
  Hidden-Layer Concatenated Physics Informed Neural Networks
Error Analysis and Numerical Algorithm for PDE Approximation with Hidden-Layer Concatenated Physics Informed Neural Networks
Yianxia Qian
Yongchao Zhang
Suchuan Dong
PINN
76
0
0
10 Jun 2024
VS-PINN: A fast and efficient training of physics-informed neural
  networks using variable-scaling methods for solving PDEs with stiff behavior
VS-PINN: A fast and efficient training of physics-informed neural networks using variable-scaling methods for solving PDEs with stiff behavior
Seungchan Ko
Sang Hyeon Park
78
5
0
10 Jun 2024
RandONet: Shallow-Networks with Random Projections for learning linear
  and nonlinear operators
RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators
Gianluca Fabiani
Ioannis G. Kevrekidis
Constantinos Siettos
A. Yannacopoulos
112
13
0
08 Jun 2024
Adapting Physics-Informed Neural Networks to Improve ODE Optimization in Mosquito Population Dynamics
Adapting Physics-Informed Neural Networks to Improve ODE Optimization in Mosquito Population Dynamics
D. V. Cuong
Branislava Lalić
Mina Petrić
Binh Nguyen
M. Roantree
PINNAI4CE
126
0
0
07 Jun 2024
FlamePINN-1D: Physics-informed neural networks to solve forward and
  inverse problems of 1D laminar flames
FlamePINN-1D: Physics-informed neural networks to solve forward and inverse problems of 1D laminar flames
Jiahao Wu
Su Zhang
Yuxin Wu
Guihua Zhang
Xin Li
Hai Zhang
AI4CEPINN
50
3
0
07 Jun 2024
ConDiff: A Challenging Dataset for Neural Solvers of Partial Differential Equations
ConDiff: A Challenging Dataset for Neural Solvers of Partial Differential Equations
Vladislav Trifonov
Alexander Rudikov
Oleg Iliev
Ivan Oseledets
Ekaterina Muravleva
Ekaterina Muravleva
DiffMAI4CE
69
0
0
07 Jun 2024
Solving partial differential equations with sampled neural networks
Solving partial differential equations with sampled neural networks
Chinmay Datar
Taniya Kapoor
Abhishek Chandra
Qing Sun
Iryna Burak
Erik Lien Bolager
Anna Veselovska
Massimo Fornasier
Felix Dietrich
104
3
0
31 May 2024
Kronecker-Factored Approximate Curvature for Physics-Informed Neural
  Networks
Kronecker-Factored Approximate Curvature for Physics-Informed Neural Networks
Felix Dangel
Johannes Müller
Marius Zeinhofer
ODL
107
11
0
24 May 2024
RoPINN: Region Optimized Physics-Informed Neural Networks
RoPINN: Region Optimized Physics-Informed Neural Networks
Haixu Wu
Huakun Luo
Yuezhou Ma
Jianmin Wang
Mingsheng Long
AI4CE
75
9
0
23 May 2024
Discovering Physics-Informed Neural Networks Model for Solving Partial
  Differential Equations through Evolutionary Computation
Discovering Physics-Informed Neural Networks Model for Solving Partial Differential Equations through Evolutionary Computation
Bo Zhang
Chao Yang
PINN
85
3
0
18 May 2024
GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of
  Nonlinear Partial Differential Equations
GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations
Ali Forootani
Peter Benner
57
1
0
14 May 2024
Full error analysis of the random deep splitting method for nonlinear parabolic PDEs and PIDEs
Full error analysis of the random deep splitting method for nonlinear parabolic PDEs and PIDEs
Ariel Neufeld
Philipp Schmocker
Sizhou Wu
97
7
0
08 May 2024
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