Fourier Neural Operator for Parametric Partial Differential Equations

18 October 2020

Zong-Yi Li

Nikola B. Kovachki

Kamyar Azizzadenesheli

Papers citing "Fourier Neural Operator for Parametric Partial Differential Equations"

20 / 20 papers shown

Title
Learning and Transferring Physical Models through Derivatives Alessandro Trenta Andrea Cossu Davide Bacciu AI4CE 7 0 0 02 May 2025
Interpretable Spatial-Temporal Fusion Transformers: Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs Shuwen Sun Lihong Feng P. Benner 14 0 0 01 May 2025
Evaluation and Verification of Physics-Informed Neural Models of the Grad-Shafranov Equation Fauzan Nazranda Rizqan Matthew Hole Charles Gretton 16 0 0 29 Apr 2025
FourierSpecNet: Neural Collision Operator Approximation Inspired by the Fourier Spectral Method for Solving the Boltzmann Equation Jae Yong Lee Gwang Jae Jung Byung Chan Lim Hyung Ju Hwang 29 0 0 29 Apr 2025
Geometry-Informed Neural Operator Transformer Qibang Liu Vincient Zhong Hadi Meidani Diab Abueidda S. Koric Philippe Geubelle AI4CE 22 31 0 28 Apr 2025
HJRNO: Hamilton-Jacobi Reachability with Neural Operators Yankai Li Mo Chen 21 14 0 28 Apr 2025
Optimizing Hard Thresholding for Sparse Model Discovery Derek W. Jollie Scott G. McCalla 19 0 0 28 Apr 2025
Deep Physics Prior for First Order Inverse Optimization Haoyu Yang Kamyar Azizzadenesheli Haoxing Ren PINN AI4CE 52 0 0 28 Apr 2025
DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction Rudy Morel Jiequn Han Edouard Oyallon AI4CE 36 61 0 28 Apr 2025
PODNO: Proper Orthogonal Decomposition Neural Operators Zilan Cheng Zhongjian Wang Li-Lian Wang Mejdi Azaiez 19 0 0 25 Apr 2025
Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study Prajwal Chauhan Salah Eddine Choutri Mohamed Ghattassi Nader Masmoudi Saif Eddin Jabari 19 0 0 25 Apr 2025
Geometry aware inference of steady state PDEs using Equivariant Neural Fields representations Giovanni Catalani Michaël Bauerheim Frédéric Tost Xavier Bertrand Joseph Morlier AI4CE 32 38 0 24 Apr 2025
EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations Hamidreza Eivazi Jendrik-Alexander Tröger Stefan H. A. Wittek Stefan Hartmann Andreas Rausch AI4CE 21 0 0 27 Mar 2025
A Probabilistic Neuro-symbolic Layer for Algebraic Constraint Satisfaction Leander Kurscheidt Paolo Morettin Roberto Sebastiani Andrea Passerini Antonio Vergari 32 0 0 25 Mar 2025
Verification and Validation for Trustworthy Scientific Machine Learning John D. Jakeman Lorena A. Barba J. Martins Thomas O'Leary-Roseberry AI4CE 38 0 0 21 Feb 2025
FuncGenFoil: Airfoil Generation and Editing Model in Function Space Jinouwen Zhang Junjie Ren A. Yang Yan Lu Lu Chen Hairun Xie Jing Wang Miao Zhang W. Ouyang Shixiang Tang 23 0 0 15 Feb 2025
Learning Memory and Material Dependent Constitutive Laws K. Bhattacharya Lianghao Cao George Stepaniants Andrew M. Stuart Margaret Trautner 35 1 0 08 Feb 2025
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 66 0 0 12 Dec 2024
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems Da Long Zhitong Xu Qiwei Yuan Yin Yang Shandian Zhe AI4CE 37 4 0 18 Feb 2024
MeshfreeFlowNet: A Physics-Constrained Deep Continuous Space-Time Super-Resolution Framework C. Jiang S. Esmaeilzadeh Kamyar Azizzadenesheli K. Kashinath Mustafa A. Mustafa H. Tchelepi P. Marcus P. Prabhat Anima Anandkumar AI4CE 142 122 0 01 May 2020