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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
Geometry-aware framework for deep energy method: an application to
  structural mechanics with hyperelastic materials
Geometry-aware framework for deep energy method: an application to structural mechanics with hyperelastic materials
Thi Nguyen Khoa Nguyen
T. Dairay
Raphael Meunier
Christophe Millet
Mathilde Mougeot
AI4CEPINN
79
0
0
06 May 2024
Loss Jump During Loss Switch in Solving PDEs with Neural Networks
Loss Jump During Loss Switch in Solving PDEs with Neural Networks
Zhiwei Wang
Lulu Zhang
Zhongwang Zhang
Z. Xu
63
0
0
06 May 2024
Symmetry group based domain decomposition to enhance physics-informed
  neural networks for solving partial differential equations
Symmetry group based domain decomposition to enhance physics-informed neural networks for solving partial differential equations
Ye Liu
Jie-Ying Li
Li-sheng Zhang
Lei‐Lei Guo
Zhi-Yong Zhang
AI4CE
52
2
0
29 Apr 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems
BiLO: Bilevel Local Operator Learning for PDE inverse problems
Ray Zirui Zhang
Xiaohui Xie
John S. Lowengrub
125
2
0
27 Apr 2024
Investigating Guiding Information for Adaptive Collocation Point
  Sampling in PINNs
Investigating Guiding Information for Adaptive Collocation Point Sampling in PINNs
Jose Florido
He Wang
Amirul Khan
P. Jimack
74
3
0
18 Apr 2024
FastVPINNs: Tensor-Driven Acceleration of VPINNs for Complex Geometries
FastVPINNs: Tensor-Driven Acceleration of VPINNs for Complex Geometries
T. Anandh
Divij Ghose
Himanshu Jain
Sashikumaar Ganesan
84
4
0
18 Apr 2024
A data-driven approach to modeling brain activity using differential
  equations
A data-driven approach to modeling brain activity using differential equations
Kuratov Andrey
80
0
0
14 Apr 2024
PINNACLE: PINN Adaptive ColLocation and Experimental points selection
PINNACLE: PINN Adaptive ColLocation and Experimental points selection
Gregory Kang Ruey Lau
Apivich Hemachandra
See-Kiong Ng
K. H. Low
3DPC
121
20
0
11 Apr 2024
Toward a Better Understanding of Fourier Neural Operators: Analysis and
  Improvement from a Spectral Perspective
Toward a Better Understanding of Fourier Neural Operators: Analysis and Improvement from a Spectral Perspective
Shaoxiang Qin
Fuyuan Lyu
Wenhui Peng
Dingyang Geng
Ju Wang
Naiping Gao
Xue Liu
Lei Wang
AI4CE
68
0
0
10 Apr 2024
Suppressing Modulation Instability with Reinforcement Learning
Suppressing Modulation Instability with Reinforcement Learning
Nikolay Kalmykov
R. Zagidullin
Oleg Y. Rogov
Sergey Rykovanov
Dmitry V. Dylov
64
1
0
05 Apr 2024
Learning in PINNs: Phase transition, total diffusion, and generalization
Learning in PINNs: Phase transition, total diffusion, and generalization
Sokratis J. Anagnostopoulos
Juan Diego Toscano
Nikolaos Stergiopulos
George Karniadakis
75
11
0
27 Mar 2024
Fully-fused Multi-Layer Perceptrons on Intel Data Center GPUs
Fully-fused Multi-Layer Perceptrons on Intel Data Center GPUs
Kai Yuan
Christoph Bauinger
Xiangyi Zhang
Pascal Baehr
Matthias Kirchhart
Darius Dabert
Adrien Tousnakhoff
Pierre Boudier
Michael Paulitsch
70
2
0
26 Mar 2024
Gravitational Duals from Equations of State
Gravitational Duals from Equations of State
Yago Bea
Raul Jimenez
David Mateos
Shuheng Liu
P. Protopapas
Pedro Tarancón-Álvarez
Pablo Tejerina-Pérez
51
3
0
21 Mar 2024
Large-scale flood modeling and forecasting with FloodCast
Large-scale flood modeling and forecasting with FloodCast
Qingsong Xu
Yilei Shi
Jonathan Bamber
Chaojun Ouyang
Xiao Xiang Zhu
AI4CE
84
20
0
18 Mar 2024
Can physical information aid the generalization ability of Neural
  Networks for hydraulic modeling?
Can physical information aid the generalization ability of Neural Networks for hydraulic modeling?
Gianmarco Guglielmo
A. Montessori
J. Tucny
M. Rocca
P. Prestininzi
AI4CE
39
3
0
13 Mar 2024
Reconstructions of Jupiter's magnetic field using physics informed
  neural networks
Reconstructions of Jupiter's magnetic field using physics informed neural networks
P. Livermore
Leyuan Wu
Longwei Chen
Sjoerd A. L. Ridder
43
1
0
12 Mar 2024
Macroscopic auxiliary asymptotic preserving neural networks for the
  linear radiative transfer equations
Macroscopic auxiliary asymptotic preserving neural networks for the linear radiative transfer equations
Hongyan Li
Song Jiang
Wenjun Sun
Liwei Xu
Guanyu Zhou
59
2
0
04 Mar 2024
BP-DeepONet: A new method for cuffless blood pressure estimation using
  the physcis-informed DeepONet
BP-DeepONet: A new method for cuffless blood pressure estimation using the physcis-informed DeepONet
Lingfeng Li
Xue-Cheng Tai
Raymond H. F. Chan
80
1
0
29 Feb 2024
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations
Zijie Li
Saurabh Patil
Francis Ogoke
Dule Shu
Wilson Zhen
Michael Schneier
John R. Buchanan
A. Farimani
AI4CE
89
5
0
27 Feb 2024
Bayesian Differentiable Physics for Cloth Digitalization
Bayesian Differentiable Physics for Cloth Digitalization
Deshan Gong
Ningtao Mao
He Wang
AI4CE
100
1
0
27 Feb 2024
OmniArch: Building Foundation Model For Scientific Computing
OmniArch: Building Foundation Model For Scientific Computing
Tianyu Chen
Haoyi Zhou
Ying Li
Hao Wang
Chonghan Gao
Rongye Shi
Shanghang Zhang
Jianxin Li
AI4CE
82
0
0
25 Feb 2024
Conformalized-DeepONet: A Distribution-Free Framework for Uncertainty
  Quantification in Deep Operator Networks
Conformalized-DeepONet: A Distribution-Free Framework for Uncertainty Quantification in Deep Operator Networks
Christian Moya
Amirhossein Mollaali
Zecheng Zhang
Lu Lu
Guang Lin
UQCV
93
19
0
23 Feb 2024
Deep adaptive sampling for surrogate modeling without labeled data
Deep adaptive sampling for surrogate modeling without labeled data
Xili Wang
Keju Tang
Jiayu Zhai
Xiaoliang Wan
Chao Yang
71
3
0
17 Feb 2024
Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning
  (PIML) Methods: Towards Robust Metrics
Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning (PIML) Methods: Towards Robust Metrics
Michael Penwarden
H. Owhadi
Robert M. Kirby
AI4CE
69
1
0
16 Feb 2024
DIMON: Learning Solution Operators of Partial Differential Equations on
  a Diffeomorphic Family of Domains
DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains
Minglang Yin
Nicolas Charon
Ryan Brody
Lu Lu
Natalia A. Trayanova
M. Maggioni
AI4CE
94
11
0
11 Feb 2024
Feature Mapping in Physics-Informed Neural Networks (PINNs)
Feature Mapping in Physics-Informed Neural Networks (PINNs)
Chengxi Zeng
T. Burghardt
A. Gambaruto
99
1
0
10 Feb 2024
Learning solutions of parametric Navier-Stokes with physics-informed
  neural networks
Learning solutions of parametric Navier-Stokes with physics-informed neural networks
M. Naderibeni
Marcel J. T. Reinders
L. Wu
David Tax
PINN
118
2
0
05 Feb 2024
Preconditioning for Physics-Informed Neural Networks
Preconditioning for Physics-Informed Neural Networks
Songming Liu
Chang Su
J. Yao
Zhongkai Hao
Hang Su
Youjia Wu
Jun Zhu
AI4CEPINN
110
6
0
01 Feb 2024
Enriched Physics-informed Neural Networks for Dynamic
  Poisson-Nernst-Planck Systems
Enriched Physics-informed Neural Networks for Dynamic Poisson-Nernst-Planck Systems
Xujia Huang
Fajie Wang
Benrong Zhang
Hanqing Liu
23
2
0
01 Feb 2024
Speeding up and reducing memory usage for scientific machine learning
  via mixed precision
Speeding up and reducing memory usage for scientific machine learning via mixed precision
Joel Hayford
Jacob Goldman-Wetzler
Eric Wang
Lu Lu
97
9
0
30 Jan 2024
Learning Local Control Barrier Functions for Safety Control of Hybrid
  Systems
Learning Local Control Barrier Functions for Safety Control of Hybrid Systems
Shuo Yang
Yu Chen
Xiang Yin
Rahul Mangharam
62
0
0
26 Jan 2024
Physically Informed Synchronic-adaptive Learning for Industrial Systems
  Modeling in Heterogeneous Media with Unavailable Time-varying Interface
Physically Informed Synchronic-adaptive Learning for Industrial Systems Modeling in Heterogeneous Media with Unavailable Time-varying Interface
Aina Wang
Pan Qin
Xi-Ming Sun
PINNAI4CE
52
0
0
26 Jan 2024
When Geoscience Meets Generative AI and Large Language Models:
  Foundations, Trends, and Future Challenges
When Geoscience Meets Generative AI and Large Language Models: Foundations, Trends, and Future Challenges
Abdenour Hadid
Tanujit Chakraborty
Daniel Busby
AI4CE
116
15
0
25 Jan 2024
Binary structured physics-informed neural networks for solving equations
  with rapidly changing solutions
Binary structured physics-informed neural networks for solving equations with rapidly changing solutions
Yanzhi Liu
Ruifan Wu
Ying Jiang
PINN
79
5
0
23 Jan 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model
  Reduction for Operator Learning
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning
Hao Liu
Biraj Dahal
Rongjie Lai
Wenjing Liao
AI4CE
60
5
0
19 Jan 2024
Approximation of Solution Operators for High-dimensional PDEs
Approximation of Solution Operators for High-dimensional PDEs
Nathan Gaby
Xiaojing Ye
78
0
0
18 Jan 2024
Adaptive Neural-Operator Backstepping Control of a Benchmark Hyperbolic
  PDE
Adaptive Neural-Operator Backstepping Control of a Benchmark Hyperbolic PDE
Maxence Lamarque
Luke Bhan
Yuanyuan Shi
Miroslav Krstic
94
8
0
15 Jan 2024
Inference of dynamical gene regulatory networks from single-cell data
  with physics informed neural networks
Inference of dynamical gene regulatory networks from single-cell data with physics informed neural networks
Maria Mircea
Diego Garlaschelli
S. Semrau
PINN
26
0
0
14 Jan 2024
Structure-Preserving Physics-Informed Neural Networks With Energy or
  Lyapunov Structure
Structure-Preserving Physics-Informed Neural Networks With Energy or Lyapunov Structure
Haoyu Chu
Yuto Miyatake
Wenjun Cui
Shikui Wei
Daisuke Furihata
PINN
79
3
0
10 Jan 2024
Physics-informed Deep Learning to Solve Three-dimensional Terzaghi
  Consolidation Equation: Forward and Inverse Problems
Physics-informed Deep Learning to Solve Three-dimensional Terzaghi Consolidation Equation: Forward and Inverse Problems
Biao Yuan
Ana Heitor
He Wang
Xiaohui Chen
AI4CEPINN
75
2
0
08 Jan 2024
Data-Driven Physics-Informed Neural Networks: A Digital Twin Perspective
Data-Driven Physics-Informed Neural Networks: A Digital Twin Perspective
Sunwoong Yang
Hojin Kim
Y. Hong
K. Yee
R. Maulik
Namwoo Kang
PINNAI4CE
64
21
0
05 Jan 2024
Physics-Informed Neural Networks for High-Frequency and Multi-Scale
  Problems using Transfer Learning
Physics-Informed Neural Networks for High-Frequency and Multi-Scale Problems using Transfer Learning
Abdul Hannan Mustajab
Hao Lyu
Z. Rizvi
Frank Wuttke
AI4CEPINN
101
11
0
05 Jan 2024
Gain Scheduling with a Neural Operator for a Transport PDE with
  Nonlinear Recirculation
Gain Scheduling with a Neural Operator for a Transport PDE with Nonlinear Recirculation
Maxence Lamarque
Luke Bhan
R. Vázquez
Miroslav Krstic
69
9
0
04 Jan 2024
Operator learning for hyperbolic partial differential equations
Operator learning for hyperbolic partial differential equations
Christopher Wang
Alex Townsend
88
3
0
29 Dec 2023
A Mathematical Guide to Operator Learning
A Mathematical Guide to Operator Learning
Nicolas Boullé
Alex Townsend
99
47
0
22 Dec 2023
Efficient Discrete Physics-informed Neural Networks for Addressing
  Evolutionary Partial Differential Equations
Efficient Discrete Physics-informed Neural Networks for Addressing Evolutionary Partial Differential Equations
Siqi Chen
Bin Shan
Ye Li
AI4CEPINN
59
1
0
22 Dec 2023
Unsupervised Random Quantum Networks for PDEs
Unsupervised Random Quantum Networks for PDEs
Josh Dees
Antoine Jacquier
Sylvain Laizet
60
2
0
21 Dec 2023
Neural Spectral Methods: Self-supervised learning in the spectral domain
Neural Spectral Methods: Self-supervised learning in the spectral domain
Yiheng Du
N. Chalapathi
Aditi Krishnapriyan
85
9
0
08 Dec 2023
Data-efficient operator learning for solving high Mach number fluid flow
  problems
Data-efficient operator learning for solving high Mach number fluid flow problems
Noah Ford
Victor J. Leon
Honest Mrema
Jeffrey Gilbert
Alexander New
AI4CE
61
0
0
28 Nov 2023
Personalized Predictions of Glioblastoma Infiltration: Mathematical
  Models, Physics-Informed Neural Networks and Multimodal Scans
Personalized Predictions of Glioblastoma Infiltration: Mathematical Models, Physics-Informed Neural Networks and Multimodal Scans
Ray Zirui Zhang
Ivan Ezhov
Michal Balcerak
Andy Zhu
Benedikt Wiestler
Bjoern Menze
John S. Lowengrub
AI4CE
111
6
0
28 Nov 2023
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