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TI-DeepONet: Learnable Time Integration for Stable Long-Term Extrapolation

TI-DeepONet: Learnable Time Integration for Stable Long-Term Extrapolation

22 May 2025
Dibyajyoti Nayak
Somdatta Goswami
ArXiv (abs)PDFHTML

Papers citing "TI-DeepONet: Learnable Time Integration for Stable Long-Term Extrapolation"

6 / 6 papers shown
Title
Neural Operator Learning for Long-Time Integration in Dynamical Systems
  with Recurrent Neural Networks
Neural Operator Learning for Long-Time Integration in Dynamical Systems with Recurrent Neural Networks
K. Michałowska
S. Goswami
George Karniadakis
S. Riemer-Sørensen
AI4CE
82
19
0
03 Mar 2023
Transfer Learning Enhanced DeepONet for Long-Time Prediction of
  Evolution Equations
Transfer Learning Enhanced DeepONet for Long-Time Prediction of Evolution Equations
Wuzhe Xu
Yulong Lu
Li Wang
62
38
0
09 Dec 2022
Long-time integration of parametric evolution equations with
  physics-informed DeepONets
Long-time integration of parametric evolution equations with physics-informed DeepONets
Sizhuang He
P. Perdikaris
AI4CE
87
122
0
09 Jun 2021
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
516
2,456
0
18 Oct 2020
DeepONet: Learning nonlinear operators for identifying differential
  equations based on the universal approximation theorem of operators
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
Neural Ordinary Differential Equations
Neural Ordinary Differential Equations
T. Chen
Yulia Rubanova
J. Bettencourt
David Duvenaud
AI4CE
457
5,176
0
19 Jun 2018
1