Partial Differential Equations Meet Deep Neural Networks: A Survey

Partial Differential Equations Meet Deep Neural Networks: A Survey

27 October 2022

Papers citing "Partial Differential Equations Meet Deep Neural Networks: A Survey"

18 / 18 papers shown

Title
Accelerating Multiscale Modeling with Hybrid Solvers: Coupling FEM and Neural Operators with Domain Decomposition Wei Wang Maryam Hakimzadeh Haihui Ruan Somdatta Goswami AI4CE 35 0 0 15 Apr 2025
A Numerical Study of Chaotic Dynamics of K-S Equation with FNOs Surbhi Khetrapal Jaswin Kasi 13 0 0 16 Oct 2024
Physics-Informed Neural Networks with Trust-Region Sequential Quadratic Programming Xiaoran Cheng Sen Na PINN 23 1 0 16 Sep 2024
GN-SINDy: Greedy Sampling Neural Network in Sparse Identification of Nonlinear Partial Differential Equations Ali Forootani Peter Benner 16 1 0 14 May 2024
From Continuous Dynamics to Graph Neural Networks: Neural Diffusion and Beyond Andi Han Dai Shi Lequan Lin Junbin Gao AI4CE GNN 35 20 0 16 Oct 2023
GNRK: Graph Neural Runge-Kutta method for solving partial differential equations Hoyun Choi Sungyeop Lee B. Kahng Junghyo Jo AI4CE 29 1 0 01 Oct 2023
Efficient Neural PDE-Solvers using Quantization Aware Training W.V.S.O. van den Dool Tijmen Blankevoort Max Welling Yuki M. Asano MQ 25 3 0 14 Aug 2023
Spectral-Bias and Kernel-Task Alignment in Physically Informed Neural Networks Inbar Seroussi Asaf Miron Z. Ringel PINN 32 0 0 12 Jul 2023
Application of Tensor Neural Networks to Pricing Bermudan Swaptions Raj G. Patel Tomas Dominguez M. Dib Samuel Palmer Andrea Cadarso ... Eva Andrés J. Luis-Hita Escolástico Sánchez-Martínez Samuel Mugel Roman Orus 17 1 0 18 Apr 2023
Deep learning fluid flow reconstruction around arbitrary two-dimensional objects from sparse sensors using conformal mappings Ali Girayhan Ozbay S. Laizet AI4CE 17 16 0 08 Feb 2022
Physics-Augmented Learning: A New Paradigm Beyond Physics-Informed Learning Ziming Liu Yunyue Chen Yuanqi Du Max Tegmark PINN AI4CE 35 22 0 28 Sep 2021
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 124 200 0 28 Sep 2021
A Robust Deep Learning Workflow to Predict Multiphase Flow Behavior during Geological CO2 Sequestration Injection and Post-Injection Periods B. Yan Bailian Chen D. Harp R. Pawar AI4CE 23 89 0 15 Jul 2021
Mosaic Flows: A Transferable Deep Learning Framework for Solving PDEs on Unseen Domains Hengjie Wang R. Planas Aparna Chandramowlishwaran Ramin Bostanabad AI4CE 42 61 0 22 Apr 2021
Physics-informed neural networks with hard constraints for inverse design Lu Lu R. Pestourie Wenjie Yao Zhicheng Wang F. Verdugo Steven G. Johnson PINN 39 489 0 09 Feb 2021
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks Sifan Wang Hanwen Wang P. Perdikaris 131 437 0 18 Dec 2020
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 203 2,272 0 18 Oct 2020
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications E. Samaniego C. Anitescu S. Goswami Vien Minh Nguyen-Thanh Hongwei Guo Khader M. Hamdia Timon Rabczuk X. Zhuang PINN AI4CE 145 1,333 0 27 Aug 2019