Physics-Informed Neural Operator for Learning Partial Differential
Equations

Physics-Informed Neural Operator for Learning Partial Differential Equations

6 November 2021

Nikola B. Kovachki

Kamyar Azizzadenesheli

Anima Anandkumar

Papers citing "Physics-Informed Neural Operator for Learning Partial Differential Equations"

17 / 217 papers shown

Title
Generic bounds on the approximation error for physics-informed (and) operator learning Tim De Ryck Siddhartha Mishra PINN 59 59 0 23 May 2022
Generative Adversarial Neural Operators Md Ashiqur Rahman Manuel A. Florez Anima Anandkumar Zachary E. Ross Kamyar Azizzadenesheli GAN 12 34 0 06 May 2022
Evolving Generalizable Multigrid-Based Helmholtz Preconditioners with Grammar-Guided Genetic Programming J. Schmitt Harald Kostler AI4CE 17 0 0 27 Apr 2022
Competitive Physics Informed Networks Qi Zeng Yash Kothari Spencer H. Bryngelson F. Schafer PINN 13 20 0 23 Apr 2022
Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONets Subhayan De Matthew J. Reynolds M. Hassanaly Ryan N. King Alireza Doostan AI4CE 8 37 0 03 Apr 2022
Physics-constrained Unsupervised Learning of Partial Differential Equations using Meshes M. Michelis Robert K. Katzschmann AI4CE 19 1 0 30 Mar 2022
Learned coupled inversion for carbon sequestration monitoring and forecasting with Fourier neural operators Ziyi Yin Ali Siahkoohi M. Louboutin Felix J. Herrmann 25 17 0 27 Mar 2022
Applications of physics informed neural operators S. Rosofsky Hani Al Majed Eliu A. Huerta PINN AI4CE 17 39 0 23 Mar 2022
Respecting causality is all you need for training physics-informed neural networks Sifan Wang Shyam Sankaran P. Perdikaris PINN CML AI4CE 25 198 0 14 Mar 2022
Local neural operator for solving transient partial differential equations on varied domains Hongyu Li Ximeng Ye Pengjie Jiang G. Qin Tiejun Wang AI4CE 6 6 0 11 Mar 2022
FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators Jaideep Pathak Shashank Subramanian P. Harrington S. Raja A. Chattopadhyay ... Zong-Yi Li Kamyar Azizzadenesheli P. Hassanzadeh K. Kashinath Anima Anandkumar AI4Cl 44 636 0 22 Feb 2022
Spectrally Adapted Physics-Informed Neural Networks for Solving Unbounded Domain Problems Mingtao Xia Lucas Böttcher T. Chou 8 19 0 06 Feb 2022
Tutorial on amortized optimization Brandon Amos OffRL 70 42 0 01 Feb 2022
AI for Closed-Loop Control Systems -- New Opportunities for Modeling, Designing, and Tuning Control Systems Julius Schöning A. Riechmann H. Pfisterer AI4CE 16 13 0 18 Jan 2022
An extended physics informed neural network for preliminary analysis of parametric optimal control problems N. Demo M. Strazzullo G. Rozza PINN 16 33 0 26 Oct 2021
Learning Green's Functions of Linear Reaction-Diffusion Equations with Application to Fast Numerical Solver Yuankai Teng Xiaoping Zhang Zhu Wang L. Ju 8 14 0 23 May 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 203 2,272 0 18 Oct 2020