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
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling Alex Glyn-Davies Arnaud Vadeboncoeur O. Deniz Akyildiz Ieva Kazlauskaite Mark Girolami PINN 70 0 0 10 Sep 2024
Differentiable programming across the PDE and Machine Learning barrier N. Bouziani David A. Ham Ado Farsi PINN AI4CE 37 1 0 09 Sep 2024
PINNIES: An Efficient Physics-Informed Neural Network Framework to Integral Operator Problems Alireza Afzal Aghaei Mahdi Movahedian Moghaddam Kourosh Parand 34 4 0 03 Sep 2024
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 FedML DD 50 2 0 02 Sep 2024
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 31 12 0 02 Sep 2024
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 18 0 0 02 Sep 2024
Adapting Physics-Informed Neural Networks for Bifurcation Detection in Ecological Migration Models Lujie Yin Xing Lv PINN 23 0 0 01 Sep 2024
Generating Physical Dynamics under Priors Zihan Zhou Xiaoxue Wang Tianshu Yu DiffM AI4CE 69 0 0 01 Sep 2024
Fourier Spectral Physics Informed Neural Network: An Efficient and Low-Memory PINN Tianchi Yu Yiming Qi Ivan Oseledets Shiyi Chen 24 0 0 29 Aug 2024
Stability Analysis of Physics-Informed Neural Networks for Stiff Linear Differential Equations Gianluca Fabiani Erik Bollt Constantinos Siettos A. Yannacopoulos 33 0 0 27 Aug 2024
Functional Tensor Decompositions for Physics-Informed Neural Networks Sai Karthikeya Vemuri Tim Buchner Julia Niebling Joachim Denzler PINN 40 4 0 23 Aug 2024
PinnDE: Physics-Informed Neural Networks for Solving Differential Equations Jason Matthews Alex Bihlo PINN 42 1 0 19 Aug 2024
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 34 0 0 19 Aug 2024
Predicting path-dependent processes by deep learning Xudong Zheng Yuecai Han 25 0 0 19 Aug 2024
Model Based and Physics Informed Deep Learning Neural Network Structures A. Mohammad-Djafari Ning Chu Li Wang Caifang Cai Liang Yu PINN 41 0 0 13 Aug 2024
Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural networks (PINNs) more accurately, robustly and faster Chi Chiu So Siu Pang Yung 32 6 0 09 Aug 2024
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 55 7 0 30 Jul 2024
Neural networks for bifurcation and linear stability analysis of steady states in partial differential equations M. L. Shahab Hadi Susanto 27 2 0 29 Jul 2024
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
Physics-informed nonlinear vector autoregressive models for the prediction of dynamical systems James H. Adler Samuel Hocking Xiaozhe Hu Shafiqul Islam AI4CE PINN 16 0 0 25 Jul 2024
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 40 0 0 23 Jul 2024
Data-Guided Physics-Informed Neural Networks for Solving Inverse Problems in Partial Differential Equations Wei Zhou Y. F. Xu AI4CE PINN 29 1 0 15 Jul 2024
Generalizable Physics-Informed Learning for Stochastic Safety-Critical Systems Zhuoyuan Wang Albert Chern Yorie Nakahira 30 0 0 11 Jul 2024
Stable Weight Updating: A Key to Reliable PDE Solutions Using Deep Learning A. Noorizadegan R. Cavoretto D. Young C. S. Chen 33 7 0 10 Jul 2024
SGM-PINN: Sampling Graphical Models for Faster Training of Physics-Informed Neural Networks John Anticev Ali Aghdaei Wuxinlin Cheng Zhuo Feng AI4CE 26 0 0 10 Jul 2024
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 26 0 0 08 Jul 2024
PAPM: A Physics-aware Proxy Model for Process Systems Pengwei Liu Zhongkai Hao Xingyu Ren Hangjie Yuan Jiayang Ren Dong Ni AI4CE PINN 45 0 0 07 Jul 2024
WANCO: Weak Adversarial Networks for Constrained Optimization problems Gang Bao Dong Wang Boyi Zou 52 1 0 04 Jul 2024
UniFIDES: Universal Fractional Integro-Differential Equation Solvers Milad Saadat Deepak Mangal Safa Jamali AI4CE 48 1 0 01 Jul 2024
Adaptive control of reaction-diffusion PDEs via neural operator-approximated gain kernels Luke Bhan Yuanyuan Shi Miroslav Krstic 46 4 0 01 Jul 2024
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 DiffM AI4CE 22 1 0 23 Jun 2024
Physics Informed Machine Learning (PIML) methods for estimating the remaining useful lifetime (RUL) of aircraft engines Sriram Nagaraj Truman Hickok AI4CE 24 1 0 21 Jun 2024
Physics-informed neural networks for parameter learning of wildfire spreading K. Vogiatzoglou C. Papadimitriou V. Bontozoglou Konstantinos Ampountolas 33 1 0 20 Jun 2024
Strategies for Pretraining Neural Operators Anthony Y. Zhou Cooper Lorsung AmirPouya Hemmasian Amir Barati Farimani AI4CE 41 5 0 12 Jun 2024
Error Analysis and Numerical Algorithm for PDE Approximation with Hidden-Layer Concatenated Physics Informed Neural Networks Yianxia Qian Yongchao Zhang Suchuan Dong PINN 37 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 Seungchan Ko Sang Hyeon Park 37 2 0 10 Jun 2024
RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators Gianluca Fabiani Ioannis G. Kevrekidis Constantinos Siettos A. Yannacopoulos 27 11 0 08 Jun 2024
Adapting Physics-Informed Neural Networks to Improve ODE Optimization in Mosquito Population Dynamics D. V. Cuong Branislava Lalić Mina Petrić Binh Nguyen M. Roantree PINN AI4CE 47 2 0 07 Jun 2024
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 AI4CE PINN 21 2 0 07 Jun 2024
ConDiff: A Challenging Dataset for Neural Solvers of Partial Differential Equations Vladislav Trifonov Alexander Rudikov Oleg Iliev Ivan Oseledets Ekaterina Muravleva Ekaterina Muravleva DiffM AI4CE 33 0 0 07 Jun 2024
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 40 2 0 31 May 2024
Kronecker-Factored Approximate Curvature for Physics-Informed Neural Networks Felix Dangel Johannes Müller Marius Zeinhofer ODL 34 6 0 24 May 2024
RoPINN: Region Optimized Physics-Informed Neural Networks Haixu Wu Huakun Luo Yuezhou Ma Jianmin Wang Mingsheng Long AI4CE 34 7 0 23 May 2024
Discovering Physics-Informed Neural Networks Model for Solving Partial Differential Equations through Evolutionary Computation Bo Zhang Chao Yang PINN 35 3 0 18 May 2024
GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations Ali Forootani Peter Benner 30 1 0 14 May 2024
Full error analysis of the random deep splitting method for nonlinear parabolic PDEs and PIDEs Ariel Neufeld Philipp Schmocker Sizhou Wu 45 7 0 08 May 2024
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 AI4CE PINN 43 0 0 06 May 2024
Loss Jump During Loss Switch in Solving PDEs with Neural Networks Zhiwei Wang Lulu Zhang Zhongwang Zhang Z. Xu 43 0 0 06 May 2024
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 22 1 0 29 Apr 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems Ray Zirui Zhang Xiaohui Xie John S. Lowengrub 68 1 0 27 Apr 2024