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
Semi-analytic PINN methods for singularly perturbed boundary value problems G. Gie Youngjoon Hong Chang-Yeol Jung PINN 8 5 0 19 Aug 2022
A Model-Constrained Tangent Slope Learning Approach for Dynamical Systems Hai V. Nguyen T. Bui-Thanh 39 2 0 09 Aug 2022
PhyGNNet: Solving spatiotemporal PDEs with Physics-informed Graph Neural Network Longxiang Jiang Liyuan Wang Xinkun Chu Yonghao Xiao Hao Zhang AI4CE 15 12 0 07 Aug 2022
Neural Basis Functions for Accelerating Solutions to High Mach Euler Equations D. Witman Alexander New Hicham Alkendry Honest Mrema 17 4 0 02 Aug 2022
A Modified PINN Approach for Identifiable Compartmental Models in Epidemiology with Applications to COVID-19 Haoran Hu Connor Kennedy P. Kevrekidis Hongkun Zhang 11 10 0 01 Aug 2022
$Physics-informed neural networks for diffraction tomography$ Physics-informed neural networks for diffraction tomography Amirhossein Saba Carlo Gigli Ahmed B. Ayoub D. Psaltis MedIm AI4CE 19 31 0 28 Jul 2022
PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE Solvers Namgyu Kang Byeonghyeon Lee Youngjoon Hong S. Yun Eunbyung Park PINN AI4CE 22 13 0 26 Jul 2022
A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks Chen-Chun Wu Min Zhu Qinyan Tan Yadhu Kartha Lu Lu 32 353 0 21 Jul 2022
Unsupervised Legendre-Galerkin Neural Network for Singularly Perturbed Partial Differential Equations Junho Choi N. Kim Youngjoon Hong AI4CE 24 0 0 21 Jul 2022
PIAT: Physics Informed Adversarial Training for Solving Partial Differential Equations S. Shekarpaz Mohammad Azizmalayeri M. Rohban 31 4 0 14 Jul 2022
Data-driven Control of Agent-based Models: an Equation/Variable-free Machine Learning Approach Dimitrios G. Patsatzis Lucia Russo Ioannis G. Kevrekidis Constantinos Siettos 21 15 0 12 Jul 2022
Adaptive Self-supervision Algorithms for Physics-informed Neural Networks Shashank Subramanian Robert M. Kirby Michael W. Mahoney A. Gholami 30 25 0 08 Jul 2022
Transformers discover an elementary calculation system exploiting local attention and grid-like problem representation Samuel Cognolato Alberto Testolin 42 7 0 06 Jul 2022
Mitigating Propagation Failures in Physics-informed Neural Networks using Retain-Resample-Release (R3) Sampling Arka Daw Jie Bu Sizhuang He P. Perdikaris Anuj Karpatne AI4CE 24 46 0 05 Jul 2022
A Deep Learning Approach for the solution of Probability Density Evolution of Stochastic Systems S. Pourtakdoust Amir H. Khodabakhsh 36 12 0 05 Jul 2022
Informed Learning by Wide Neural Networks: Convergence, Generalization and Sampling Complexity Jianyi Yang Shaolei Ren 32 3 0 02 Jul 2022
Neural Integro-Differential Equations E. Zappala Antonio H. O. Fonseca A. Moberly M. Higley C. Abdallah Jessica A. Cardin David van Dijk 24 14 0 28 Jun 2022
Efficient Interdependent Systems Recovery Modeling with DeepONets Somayajulu L. N. Dhulipala Ryan Hruska 13 2 0 22 Jun 2022
Gradient-Enhanced Physics-Informed Neural Networks for Power Systems Operational Support M. Mohammadian K. Baker Ferdinando Fioretto PINN AI4CE 27 21 0 21 Jun 2022
Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations Zhi‐Yong Zhang Hui Zhang Li-sheng Zhang Lei‐Lei Guo PINN AI4CE 22 28 0 19 Jun 2022
Hybrid thermal modeling of additive manufacturing processes using physics-informed neural networks for temperature prediction and parameter identification Shuheng Liao Tianju Xue Jihoon Jeong Samantha Webster K. Ehmann Jian Cao AI4CE 32 46 0 15 Jun 2022
Residual-based physics-informed transfer learning: A hybrid method for accelerating long-term CFD simulations via deep learning J. Jeon Juhyeong Lee Ricardo Vinuesa S. J. Kim AI4CE 8 25 0 14 Jun 2022
Learning Fine Scale Dynamics from Coarse Observations via Inner Recurrence V. Churchill D. Xiu AI4CE 16 2 0 03 Jun 2022
Mesh-free Eulerian Physics-Informed Neural Networks F. A. Torres M. Negri Monika Nagy-Huber M. Samarin Volker Roth PINN AI4CE 29 5 0 03 Jun 2022
Experience report of physics-informed neural networks in fluid simulations: pitfalls and frustration Pi-Yueh Chuang L. Barba PINN 17 39 0 27 May 2022
Auto-PINN: Understanding and Optimizing Physics-Informed Neural Architecture Yicheng Wang Xiaotian Han Chia-Yuan Chang Daochen Zha U. Braga-Neto Xia Hu PINN AI4CE 22 23 0 27 May 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 42 144 0 26 May 2022
Generic bounds on the approximation error for physics-informed (and) operator learning Tim De Ryck Siddhartha Mishra PINN 63 59 0 23 May 2022
Finite Element Method-enhanced Neural Network for Forward and Inverse Problems R. Meethal B. Obst Mohamed Khalil A. Ghantasala A. Kodakkal K. Bletzinger R. Wüchner AI4CE 23 30 0 17 May 2022
Loss Landscape Engineering via Data Regulation on PINNs Vignesh Gopakumar Stanislas Pamela D. Samaddar PINN 38 16 0 16 May 2022
Scalable algorithms for physics-informed neural and graph networks K. Shukla Mengjia Xu N. Trask George Karniadakis PINN AI4CE 75 40 0 16 May 2022
Hyper-parameter tuning of physics-informed neural networks: Application to Helmholtz problems Paul Escapil-Inchauspé G. A. Ruz 32 32 0 13 May 2022
Deep Learning of Chaotic Systems from Partially-Observed Data V. Churchill D. Xiu 40 12 0 12 May 2022
AutoKE: An automatic knowledge embedding framework for scientific machine learning Mengge Du Yuntian Chen Dongxiao Zhang AI4CE 38 11 0 11 May 2022
Automated differential equation solver based on the parametric approximation optimization A. Hvatov Tatiana Tikhonova 21 4 0 11 May 2022
Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions V. Boussange S. Becker Arnulf Jentzen Benno Kuckuck Loïc Pellissier 25 12 0 07 May 2022
Physics-informed neural networks for PDE-constrained optimization and control Jostein Barry-Straume A. Sarshar Andrey A. Popov Adrian Sandu PINN AI4CE 29 14 0 06 May 2022
Demystifying the Data Need of ML-surrogates for CFD Simulations Tongtao Zhang Biswadip Dey Krishna Veeraraghavan Harshad Kulkarni Amit Chakraborty AI4CE 27 5 0 05 May 2022
ExSpliNet: An interpretable and expressive spline-based neural network Daniele Fakhoury Emanuele Fakhoury H. Speleers 11 34 0 03 May 2022
RANG: A Residual-based Adaptive Node Generation Method for Physics-Informed Neural Networks Wei Peng Weien Zhou Xiaoya Zhang Wenjuan Yao Zheliang Liu 31 15 0 02 May 2022
RAR-PINN algorithm for the data-driven vector-soliton solutions and parameter discovery of coupled nonlinear equations Shulan Qin Min Li Tao Xu Shaotong Dong 22 9 0 29 Apr 2022
Enhanced Physics-Informed Neural Networks with Augmented Lagrangian Relaxation Method (AL-PINNs) Hwijae Son S. Cho H. Hwang PINN 25 41 0 29 Apr 2022
Numerical Computation of Partial Differential Equations by Hidden-Layer Concatenated Extreme Learning Machine Naxian Ni S. Dong 29 20 0 24 Apr 2022
Competitive Physics Informed Networks Qi Zeng Yash Kothari Spencer H. Bryngelson F. Schafer PINN 24 20 0 23 Apr 2022
Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport Lu Lu R. Pestourie Steven G. Johnson Giuseppe Romano AI4CE 24 102 0 14 Apr 2022
Improved Training of Physics-Informed Neural Networks with Model Ensembles Katsiaryna Haitsiukevich Alexander Ilin PINN 39 23 0 11 Apr 2022
A Deep Learning Approach for Predicting Two-dimensional Soil Consolidation Using Physics-Informed Neural Networks (PINN) Yue Lu Gang Mei F. Piccialli PINN AI4CE 17 25 0 09 Apr 2022
Qade: Solving Differential Equations on Quantum Annealers J. C. Criado M. Spannowsky 34 12 0 07 Apr 2022
Certified machine learning: A posteriori error estimation for physics-informed neural networks Birgit Hillebrecht B. Unger PINN 22 15 0 31 Mar 2022
NUNet: Deep Learning for Non-Uniform Super-Resolution of Turbulent Flows Octavi Obiols-Sales Abhinav Vishnu Nicholas Malaya Aparna Chandramowlishwaran AI4CE 24 5 0 26 Mar 2022