DeepXDE: A deep learning library for solving differential equations

10 July 2019

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

50 / 483 papers shown

Title
Investigating Guiding Information for Adaptive Collocation Point Sampling in PINNs Jose Florido He Wang Amirul Khan P. Jimack 31 2 0 18 Apr 2024
FastVPINNs: Tensor-Driven Acceleration of VPINNs for Complex Geometries T. Anandh Divij Ghose Himanshu Jain Sashikumaar Ganesan 29 4 0 18 Apr 2024
A data-driven approach to modeling brain activity using differential equations Kuratov Andrey 28 0 0 14 Apr 2024
PINNACLE: PINN Adaptive ColLocation and Experimental points selection Gregory Kang Ruey Lau Apivich Hemachandra See-Kiong Ng K. H. Low 3DPC 37 18 0 11 Apr 2024
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 37 0 0 10 Apr 2024
Suppressing Modulation Instability with Reinforcement Learning Nikolay Kalmykov R. Zagidullin Oleg Y. Rogov Sergey Rykovanov Dmitry V. Dylov 19 0 0 05 Apr 2024
Learning in PINNs: Phase transition, total diffusion, and generalization Sokratis J. Anagnostopoulos Juan Diego Toscano Nikolaos Stergiopulos George Karniadakis 32 10 0 27 Mar 2024
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 34 2 0 26 Mar 2024
Gravitational Duals from Equations of State Yago Bea Raul Jimenez David Mateos Shuheng Liu P. Protopapas Pedro Tarancón-Álvarez Pablo Tejerina-Pérez 29 3 0 21 Mar 2024
Large-scale flood modeling and forecasting with FloodCast Qingsong Xu Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 52 12 0 18 Mar 2024
Can physical information aid the generalization ability of Neural Networks for hydraulic modeling? Gianmarco Guglielmo A. Montessori J. Tucny M. Rocca P. Prestininzi AI4CE 26 3 0 13 Mar 2024
Reconstructions of Jupiter's magnetic field using physics informed neural networks P. Livermore Leyuan Wu Longwei Chen Sjoerd A. L. Ridder 32 1 0 12 Mar 2024
Macroscopic auxiliary asymptotic preserving neural networks for the linear radiative transfer equations Hongyan Li Song Jiang Wenjun Sun Liwei Xu Guanyu Zhou 32 2 0 04 Mar 2024
BP-DeepONet: A new method for cuffless blood pressure estimation using the physcis-informed DeepONet Lingfeng Li Xue-Cheng Tai Raymond H. F. Chan 33 1 0 29 Feb 2024
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 40 5 0 27 Feb 2024
Bayesian Differentiable Physics for Cloth Digitalization Deshan Gong Ningtao Mao He Wang AI4CE 32 0 0 27 Feb 2024
Building Flexible Machine Learning Models for Scientific Computing at Scale Tianyu Chen Haoyi Zhou Ying Li Hao Wang Chonghan Gao Shanghang Zhang Jianxin Li AI4CE 32 0 0 25 Feb 2024
Conformalized-DeepONet: A Distribution-Free Framework for Uncertainty Quantification in Deep Operator Networks Christian Moya Amirhossein Mollaali Zecheng Zhang Lu Lu Guang Lin UQCV 49 18 0 23 Feb 2024
Deep adaptive sampling for surrogate modeling without labeled data Xili Wang Keju Tang Jiayu Zhai Xiaoliang Wan Chao Yang 35 2 0 17 Feb 2024
Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning (PIML) Methods: Towards Robust Metrics Michael Penwarden H. Owhadi Robert M. Kirby AI4CE 22 1 0 16 Feb 2024
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 52 11 0 11 Feb 2024
Feature Mapping in Physics-Informed Neural Networks (PINNs) Chengxi Zeng T. Burghardt A. Gambaruto 41 1 0 10 Feb 2024
Learning solutions of parametric Navier-Stokes with physics-informed neural networks M. Naderibeni Marcel J. T. Reinders L. Wu David Tax PINN 34 2 0 05 Feb 2024
Preconditioning for Physics-Informed Neural Networks Songming Liu Chang Su J. Yao Zhongkai Hao Hang Su Youjia Wu Jun Zhu AI4CE PINN 44 5 0 01 Feb 2024
Enriched Physics-informed Neural Networks for Dynamic Poisson-Nernst-Planck Systems Xujia Huang Fajie Wang Benrong Zhang Hanqing Liu 16 0 0 01 Feb 2024
Speeding up and reducing memory usage for scientific machine learning via mixed precision Joel Hayford Jacob Goldman-Wetzler Eric Wang Lu Lu 49 8 0 30 Jan 2024
Learning Local Control Barrier Functions for Safety Control of Hybrid Systems Shuo Yang Yu Chen Xiang Yin Rahul Mangharam 43 0 0 26 Jan 2024
Physically Informed Synchronic-adaptive Learning for Industrial Systems Modeling in Heterogeneous Media with Unavailable Time-varying Interface Aina Wang Pan Qin Xi-Ming Sun PINN AI4CE 26 0 0 26 Jan 2024
When Geoscience Meets Generative AI and Large Language Models: Foundations, Trends, and Future Challenges Abdenour Hadid Tanujit Chakraborty Daniel Busby AI4CE 32 11 0 25 Jan 2024
Binary structured physics-informed neural networks for solving equations with rapidly changing solutions Yanzhi Liu Ruifan Wu Ying Jiang PINN 26 2 0 23 Jan 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning Hao Liu Biraj Dahal Rongjie Lai Wenjing Liao AI4CE 34 5 0 19 Jan 2024
Approximation of Solution Operators for High-dimensional PDEs Nathan Gaby Xiaojing Ye 30 0 0 18 Jan 2024
Adaptive Neural-Operator Backstepping Control of a Benchmark Hyperbolic PDE Maxence Lamarque Luke Bhan Yuanyuan Shi Miroslav Krstic 28 8 0 15 Jan 2024
Inference of dynamical gene regulatory networks from single-cell data with physics informed neural networks Maria Mircea Diego Garlaschelli S. Semrau PINN 17 0 0 14 Jan 2024
Structure-Preserving Physics-Informed Neural Networks With Energy or Lyapunov Structure Haoyu Chu Yuto Miyatake Wenjun Cui Shikui Wei Daisuke Furihata PINN 25 2 0 10 Jan 2024
Physics-informed Deep Learning to Solve Three-dimensional Terzaghi Consolidation Equation: Forward and Inverse Problems Biao Yuan Ana Heitor He Wang Xiaohui Chen AI4CE PINN 37 1 0 08 Jan 2024
Data-Driven Physics-Informed Neural Networks: A Digital Twin Perspective Sunwoong Yang Hojin Kim Y. Hong K. Yee R. Maulik Namwoo Kang PINN AI4CE 31 17 0 05 Jan 2024
Physics-Informed Neural Networks for High-Frequency and Multi-Scale Problems using Transfer Learning Abdul Hannan Mustajab Hao Lyu Z. Rizvi Frank Wuttke AI4CE PINN 20 9 0 05 Jan 2024
Gain Scheduling with a Neural Operator for a Transport PDE with Nonlinear Recirculation Maxence Lamarque Luke Bhan R. Vázquez Miroslav Krstic 29 9 0 04 Jan 2024
Operator learning for hyperbolic partial differential equations Christopher Wang Alex Townsend 42 2 0 29 Dec 2023
A Mathematical Guide to Operator Learning Nicolas Boullé Alex Townsend 37 38 0 22 Dec 2023
Efficient Discrete Physics-informed Neural Networks for Addressing Evolutionary Partial Differential Equations Siqi Chen Bin Shan Ye Li AI4CE PINN 23 1 0 22 Dec 2023
Unsupervised Random Quantum Networks for PDEs Josh Dees Antoine Jacquier Sylvain Laizet 21 2 0 21 Dec 2023
Neural Spectral Methods: Self-supervised learning in the spectral domain Yiheng Du N. Chalapathi Aditi Krishnapriyan 22 6 0 08 Dec 2023
Data-efficient operator learning for solving high Mach number fluid flow problems Noah Ford Victor J. Leon Honest Mrema Jeffrey Gilbert Alexander New AI4CE 24 0 0 28 Nov 2023
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 H. Menze John S. Lowengrub AI4CE 52 6 0 28 Nov 2023
Physics-informed neural networks for transformed geometries and manifolds Samuel Burbulla AI4CE 29 0 0 27 Nov 2023
One-Shot Transfer Learning for Nonlinear ODEs Wanzhou Lei P. Protopapas Joy Parikh PINN 29 1 0 25 Nov 2023
Grad-Shafranov equilibria via data-free physics informed neural networks Byoungchan Jang A. Kaptanoglu Rahul Gaur Shaw Pan Matt Landreman W. Dorland PINN 27 2 0 22 Nov 2023
Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators Zongren Zou Xuhui Meng George Karniadakis AI4CE 41 20 0 19 Nov 2023