Learning Green's functions associated with time-dependent partial
differential equations

Learning Green's functions associated with time-dependent partial differential equations

27 April 2022

Papers citing "Learning Green's functions associated with time-dependent partial differential equations"

17 / 17 papers shown

Title
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis Yasamin Jalalian Juan Felipe Osorio Ramirez Alexander W. Hsu Bamdad Hosseini H. Owhadi 39 0 0 02 Mar 2025
Structure-Preserving Operator Learning Nacime Bouziani Nicolas Boullé 25 0 0 01 Oct 2024
Solving Partial Differential Equations in Different Domains by Operator Learning method Based on Boundary Integral Equations Bin Meng Yutong Lu Ying Jiang 21 0 0 04 Jun 2024
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations Zijie Li Saurabh Patil Francis Ogoke Dule Shu Wilson Zhen Michael Schneier John R. Buchanan A. Farimani AI4CE 32 5 0 27 Feb 2024
Operator Learning: Algorithms and Analysis Nikola B. Kovachki S. Lanthaler Andrew M. Stuart 36 22 0 24 Feb 2024
Operator learning without the adjoint Nicolas Boullé Diana Halikias Samuel E. Otto Alex Townsend 18 4 0 31 Jan 2024
Approximation of Solution Operators for High-dimensional PDEs Nathan Gaby Xiaojing Ye 12 0 0 18 Jan 2024
Operator learning for hyperbolic partial differential equations Christopher Wang Alex Townsend 34 2 0 29 Dec 2023
A Mathematical Guide to Operator Learning Nicolas Boullé Alex Townsend 29 36 0 22 Dec 2023
Interpreting and generalizing deep learning in physics-based problems with functional linear models Amirhossein Arzani Lingxiao Yuan P. Newell Bei Wang AI4CE 26 7 0 10 Jul 2023
Scalable Transformer for PDE Surrogate Modeling Zijie Li Dule Shu A. Farimani 24 63 0 27 May 2023
Elliptic PDE learning is provably data-efficient N. Boullé Diana Halikias Alex Townsend 15 18 0 24 Feb 2023
Neural Control of Parametric Solutions for High-dimensional Evolution PDEs Nathan Gaby X. Ye Haomin Zhou 11 6 0 31 Jan 2023
Minimax Optimal Kernel Operator Learning via Multilevel Training Jikai Jin Yiping Lu Jose H. Blanchet Lexing Ying 16 11 0 28 Sep 2022
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 124 200 0 28 Sep 2021
Learning Partial Differential Equations in Reproducing Kernel Hilbert Spaces George Stepaniants 33 15 0 26 Aug 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 2,281 0 18 Oct 2020