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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
A Comprehensive Review of Digital Twin -- Part 1: Modeling and Twinning Enabling Technologies Adam Thelen Xiaoge Zhang Olga Fink Yan Lu Sayan Ghosh B. Youn Michael D. Todd S. Mahadevan Chao Hu Zhen Hu SyDa AI4CE 94 208 0 26 Aug 2022
NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators Zongren Zou Xuhui Meng Apostolos F. Psaros George Karniadakis AI4CE 97 39 0 25 Aug 2022
A Physics-informed Deep Learning Approach for Minimum Effort Stochastic Control of Colloidal Self-Assembly Iman Nodozi Jared O’Leary A. Mesbah A. Halder 43 11 0 19 Aug 2022
Semi-analytic PINN methods for singularly perturbed boundary value problems G. Gie Youngjoon Hong Chang-Yeol Jung PINN 70 6 0 19 Aug 2022
A Model-Constrained Tangent Slope Learning Approach for Dynamical Systems Hai V. Nguyen T. Bui-Thanh 66 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 62 14 0 07 Aug 2022
Neural Basis Functions for Accelerating Solutions to High Mach Euler Equations D. Witman Alexander New Hicham Alkendry Honest Mrema 39 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 140 12 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 49 32 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 63 16 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 106 390 0 21 Jul 2022
Unsupervised Legendre-Galerkin Neural Network for Singularly Perturbed Partial Differential Equations Junho Choi N. Kim Youngjoon Hong AI4CE 99 0 0 21 Jul 2022
PIAT: Physics Informed Adversarial Training for Solving Partial Differential Equations S. Shekarpaz Mohammad Azizmalayeri M. Rohban 44 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 61 21 0 12 Jul 2022
Adaptive Self-supervision Algorithms for Physics-informed Neural Networks Shashank Subramanian Robert M. Kirby Michael W. Mahoney A. Gholami 98 26 0 08 Jul 2022
Transformers discover an elementary calculation system exploiting local attention and grid-like problem representation Samuel Cognolato Alberto Testolin 71 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 118 52 0 05 Jul 2022
A Deep Learning Approach for the solution of Probability Density Evolution of Stochastic Systems S. Pourtakdoust Amir H. Khodabakhsh 71 14 0 05 Jul 2022
Informed Learning by Wide Neural Networks: Convergence, Generalization and Sampling Complexity Jianyi Yang Shaolei Ren 88 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 68 17 0 28 Jun 2022
Efficient Interdependent Systems Recovery Modeling with DeepONets Somayajulu L. N. Dhulipala Ryan Hruska 22 2 0 22 Jun 2022
Gradient-Enhanced Physics-Informed Neural Networks for Power Systems Operational Support M. Mohammadian K. Baker Ferdinando Fioretto PINN AI4CE 104 23 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 147 31 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 70 53 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 95 30 0 14 Jun 2022
Learning Fine Scale Dynamics from Coarse Observations via Inner Recurrence V. Churchill D. Xiu AI4CE 67 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 114 5 0 03 Jun 2022
Experience report of physics-informed neural networks in fluid simulations: pitfalls and frustration Pi-Yueh Chuang L. Barba PINN 93 42 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 Helen Zhou PINN AI4CE 71 23 0 27 May 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 117 172 0 26 May 2022
Generic bounds on the approximation error for physics-informed (and) operator learning Tim De Ryck Siddhartha Mishra PINN 125 62 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 66 35 0 17 May 2022
Loss Landscape Engineering via Data Regulation on PINNs Vignesh Gopakumar Stanislas Pamela D. Samaddar PINN 81 21 0 16 May 2022
Scalable algorithms for physics-informed neural and graph networks K. Shukla Mengjia Xu N. Trask George Karniadakis PINN AI4CE 131 41 0 16 May 2022
Hyper-parameter tuning of physics-informed neural networks: Application to Helmholtz problems Paul Escapil-Inchauspé G. A. Ruz 65 33 0 13 May 2022
Deep Learning of Chaotic Systems from Partially-Observed Data V. Churchill D. Xiu 92 13 0 12 May 2022
AutoKE: An automatic knowledge embedding framework for scientific machine learning Mengge Du Yuntian Chen Dongxiao Zhang AI4CE 78 11 0 11 May 2022
Automated differential equation solver based on the parametric approximation optimization A. Hvatov Tatiana Tikhonova 34 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 87 14 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 76 15 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 45 5 0 05 May 2022
ExSpliNet: An interpretable and expressive spline-based neural network Daniele Fakhoury Emanuele Fakhoury H. Speleers 69 41 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 111 16 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 105 9 0 29 Apr 2022
Enhanced Physics-Informed Neural Networks with Augmented Lagrangian Relaxation Method (AL-PINNs) Hwijae Son S. Cho H. Hwang PINN 73 45 0 29 Apr 2022
Numerical Computation of Partial Differential Equations by Hidden-Layer Concatenated Extreme Learning Machine Naxian Ni S. Dong 65 20 0 24 Apr 2022
Competitive Physics Informed Networks Qi Zeng Yash Kothari Spencer H. Bryngelson F. Schafer PINN 94 21 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 81 110 0 14 Apr 2022
Improved Training of Physics-Informed Neural Networks with Model Ensembles Katsiaryna Haitsiukevich Alexander Ilin PINN 126 27 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 50 29 0 09 Apr 2022