Physics-Guided Discovery of Highly Nonlinear Parametric Partial Differential Equations

Author:

Luo Yingtao1ORCID,Liu Qiang2ORCID,Chen Yuntian3ORCID,Hu Wenbo4ORCID,Tian Tian5ORCID,Zhu Jun6ORCID

Affiliation:

1. Carnegie Mellon University, Pittsburgh, PA, USA

2. CRIPAC, MAIS, Institute of Automation, Chinese Academy of Sciences, Beijing, China

3. Ningbo Institute of Digital Twin, Eastern Institute of Technology, Ningbo, China

4. Hefei University of Technology, Hefei, China

5. RealAI, Beijing, China

6. Tsinghua University, Beijing, China

Funder

National Natural Science Foundation of China

Publisher

ACM

Reference62 articles.

1. Brandon Amos and J Zico Kolter . 2017 . Optnet: Differentiable optimization as a layer in neural networks . In International Conference on Machine Learning. PMLR, 136--145 . Brandon Amos and J Zico Kolter. 2017. Optnet: Differentiable optimization as a layer in neural networks. In International Conference on Machine Learning. PMLR, 136--145.

2. Learning data-driven discretizations for partial differential equations

3. Filipe De Avila Belbute-Peres , Thomas Economon , and Zico Kolter . 2020 . Combining differentiable PDE solvers and graph neural networks for fluid flow prediction . In International Conference on Machine Learning. PMLR, 2402--2411 . Filipe De Avila Belbute-Peres, Thomas Economon, and Zico Kolter. 2020. Combining differentiable PDE solvers and graph neural networks for fluid flow prediction. In International Conference on Machine Learning. PMLR, 2402--2411.

4. Automated reverse engineering of nonlinear dynamical systems

5. Discovering governing equations from data by sparse identification of nonlinear dynamical systems

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