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2406.11708
Cited By

Tackling the Curse of Dimensionality in Fractional and Tempered
Fractional PDEs with Physics-Informed Neural Networks

Tackling the Curse of Dimensionality in Fractional and Tempered Fractional PDEs with Physics-Informed Neural Networks

17 June 2024

Kenji Kawaguchi

Zhongqiang Zhang

George Karniadakis

ArXiv (abs)PDF HTML

Papers citing "Tackling the Curse of Dimensionality in Fractional and Tempered Fractional PDEs with Physics-Informed Neural Networks"

3 / 3 papers shown

Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs

Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEsComputer Methods in Applied Mechanics and Engineering (CMAME), 2025

Sidharth S. Menon

Ameya D. Jagtap

909

7

0

06 May 2025

Solving Time-Fractional Partial Integro-Differential Equations Using Tensor Neural Network

Solving Time-Fractional Partial Integro-Differential Equations Using Tensor Neural Network

264

3

0

02 Apr 2025

From PINNs to PIKANs: Recent Advances in Physics-Informed Machine
Learning

From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning

Juan Diego Toscano

Alan John Varghese

Nazanin Ahmadi Daryakenari

George Karniadakis

262

133

0

17 Oct 2024

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