Meta-Auto-Decoder: a Meta-Learning-Based Reduced Order Model for Solving Parametric Partial Differential Equations-Reference-Cited by-同舟云学术

Meta-Auto-Decoder: a Meta-Learning-Based Reduced Order Model for Solving Parametric Partial Differential Equations

Published:2023-08-14 Issue: Volume: Page:
ISSN:2096-6385
Container-title:Communications on Applied Mathematics and Computation
language:en
Short-container-title:Commun. Appl. Math. Comput.

Author:

Ye Zhanhong,Huang Xiang,Liu Hongsheng,Dong Bin

Funder

National Key R &D Program of China

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s42967-023-00293-7.pdf

Reference53 articles.

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3. Benner, P., Ohlberger, M., Cohen, A., Willcox, K.: Model Reduction and Approximation. Society for Industrial and Applied Mathematics, Philadelphia, PA (2017)

4. Bhattacharya, K., Hosseini, B., Kovachki, N.B., Stuart, A.M.: Model reduction and neural networks for parametric PDEs. arXiv:2005.03180 (2020)

5. Cai, S., Wang, Z., Wang, S., Perdikaris, P., Karniadakis, G.E.: Physics-informed neural networks for heat transfer problems. J. Heat Transfer 143(6), 060801 (2021)

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