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Transformers as Neural Operators for Solutions of Differential Equations
  with Finite Regularity

Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity

29 May 2024
Benjamin Shih
Ahmad Peyvan
Zhongqiang Zhang
George Karniadakis
    AI4CE
ArXivPDFHTML

Papers citing "Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity"

4 / 4 papers shown
Title
State-space models are accurate and efficient neural operators for dynamical systems
State-space models are accurate and efficient neural operators for dynamical systems
Zheyuan Hu
Nazanin Ahmadi Daryakenari
Qianli Shen
Kenji Kawaguchi
George Karniadakis
Mamba
AI4CE
64
10
0
28 Jan 2025
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems
Sumanth Kumar Boya
Deepak Subramani
AI4CE
94
0
0
12 Dec 2024
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations
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
Fourier Neural Operator for Parametric Partial Differential Equations
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
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