Physics-embedded Fourier Neural Network for Partial Differential
Equations

Physics-embedded Fourier Neural Network for Partial Differential Equations

15 July 2024

Jonathan Bamber

Xiao Xiang Zhu

Papers citing "Physics-embedded Fourier Neural Network for Partial Differential Equations"

19 / 19 papers shown

Title
Large-scale flood modeling and forecasting with FloodCast Qingsong Xu Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 69 15 0 18 Mar 2024
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 93 10 0 08 Oct 2023
AirfRANS: High Fidelity Computational Fluid Dynamics Dataset for Approximating Reynolds-Averaged Navier-Stokes Solutions F. Bonnet Jocelyn Ahmed Mazari Paola Cinnella Patrick Gallinari AI4CE 81 56 0 15 Dec 2022
PDEBENCH: An Extensive Benchmark for Scientific Machine Learning M. Takamoto T. Praditia Raphael Leiteritz Dan MacKinlay Francesco Alesiani Dirk Pflüger Mathias Niepert AI4CE 56 226 0 13 Oct 2022
Exact conservation laws for neural network integrators of dynamical systems E. Müller PINN 85 13 0 23 Sep 2022
Physics-Informed Deep Neural Operator Networks S. Goswami Aniruddha Bora Yue Yu George Karniadakis PINN AI4CE 73 105 0 08 Jul 2022
Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions Masanobu Horie Naoto Mitsume PINN AI4CE 64 26 0 24 May 2022
Physics-Informed Neural Operator for Learning Partial Differential Equations Zong-Yi Li Hongkai Zheng Nikola B. Kovachki David Jin Haoxuan Chen Burigede Liu Kamyar Azizzadenesheli Anima Anandkumar AI4CE 103 410 0 06 Nov 2021
Neural Operator: Learning Maps Between Function Spaces Nikola B. Kovachki Zong-Yi Li Burigede Liu Kamyar Azizzadenesheli K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 103 448 0 19 Aug 2021
Equivariant message passing for the prediction of tensorial properties and molecular spectra Kristof T. Schütt Oliver T. Unke M. Gastegger 97 531 0 05 Feb 2021
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 484 2,397 0 18 Oct 2020
Learning Mesh-Based Simulation with Graph Networks Tobias Pfaff Meire Fortunato Alvaro Sanchez-Gonzalez Peter W. Battaglia AI4CE 77 783 0 07 Oct 2020
Incorporating Symmetry into Deep Dynamics Models for Improved Generalization Rui Wang Robin Walters Rose Yu AI4CE 107 175 0 08 Feb 2020
General $E(2)$ -Equivariant Steerable CNNs Maurice Weiler Gabriele Cesa 95 524 0 19 Nov 2019
Physical Symmetries Embedded in Neural Networks M. Mattheakis P. Protopapas D. Sondak Marco Di Giovanni E. Kaxiras PINN 41 71 0 18 Apr 2019
Deep Dynamical Modeling and Control of Unsteady Fluid Flows Jeremy Morton F. Witherden A. Jameson Mykel J. Kochenderfer AI4CE 62 165 0 18 May 2018
PDE-Net: Learning PDEs from Data Zichao Long Yiping Lu Xianzhong Ma Bin Dong DiffM AI4CE 38 755 0 26 Oct 2017
Group Equivariant Convolutional Networks Taco S. Cohen Max Welling BDL 150 1,934 0 24 Feb 2016
U-Net: Convolutional Networks for Biomedical Image Segmentation Olaf Ronneberger Philipp Fischer Thomas Brox SSeg 3DV 1.8K 77,099 0 18 May 2015