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DeepXDE: A deep learning library for solving differential equations

10 July 2019

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 Ariel Neufeld Tuan Anh Nguyen 83 0 0 30 Sep 2024
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 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 Sen Wang Peizhi Zhao Tao Song 116 0 0 20 Sep 2024
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 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 N. Bouziani David A. Ham Ado Farsi PINN AI4CE 66 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 56 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 116 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 77 14 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 50 0 0 02 Sep 2024
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 Zihan Zhou Xiaoxue Wang Tianshu Yu DiffM AI4CE 150 1 0 01 Sep 2024
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 Gianluca Fabiani Erik Bollt Constantinos Siettos A. Yannacopoulos 67 1 0 27 Aug 2024
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 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 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 Xudong Zheng Yuecai Han 42 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 65 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 112 8 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 91 9 0 30 Jul 2024
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 James H. Adler Samuel Hocking Xiaozhe Hu Shafiqul Islam AI4CE PINN 109 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 70 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 93 2 0 15 Jul 2024
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 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 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 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 Pengwei Liu Zhongkai Hao Xingyu Ren Hangjie Yuan Jiayang Ren Dong Ni AI4CE PINN 88 0 0 07 Jul 2024
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 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 Luke Bhan Yuanyuan Shi Miroslav Krstic 96 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 41 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 31 1 0 21 Jun 2024
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 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 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 Seungchan Ko Sang Hyeon Park 78 5 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 112 13 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 126 0 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 50 3 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 69 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 104 3 0 31 May 2024
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 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 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 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 Ariel Neufeld Philipp Schmocker Sizhou Wu 97 7 0 08 May 2024