Solving PDEs on Spheres with Physics-Informed Convolutional Neural
Networks

Solving PDEs on Spheres with Physics-Informed Convolutional Neural Networks

18 August 2023

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Papers citing "Solving PDEs on Spheres with Physics-Informed Convolutional Neural Networks"

12 / 12 papers shown

Title
Pairwise Ranking with Gaussian Kernels Guanhang Lei Lei Shi 89 2 0 06 Apr 2023
Numerical Methods For PDEs Over Manifolds Using Spectral Physics Informed Neural Networks Yuval Zelig S. Dekel 44 1 0 10 Feb 2023
Learning Ability of Interpolating Deep Convolutional Neural Networks Tiancong Zhou X. Huo AI4CE 80 13 0 25 Oct 2022
Physics-Informed Neural Networks for Shell Structures Jan-Hendrik Bastek D. Kochmann AI4CE 50 55 0 26 Jul 2022
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 514 2,456 0 18 Oct 2020
Theory of Deep Convolutional Neural Networks II: Spherical Analysis Zhiying Fang Han Feng Shuo Huang Ding-Xuan Zhou 98 37 0 28 Jul 2020
Neural Operator: Graph Kernel Network for Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar 208 749 0 07 Mar 2020
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 248 2,162 0 08 Oct 2019
1D Convolutional Neural Networks and Applications: A Survey S. Kiranyaz Onur Avcı Osama Abdeljaber T. Ince Moncef Gabbouj D. Inman 3DV 85 1,943 0 09 May 2019
Universality of Deep Convolutional Neural Networks Ding-Xuan Zhou HAI PINN 414 517 0 28 May 2018
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 125 1,393 0 30 Sep 2017
Gaussian Error Linear Units (GELUs) Dan Hendrycks Kevin Gimpel 176 5,049 0 27 Jun 2016

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