Quadrature rule based discovery of dynamics by data-driven denoising

DOI10.1016/j.jcp.2023.112102MaRDI QIDQ6147082

Yiqi Gu, Michael Kwok-Po Ng

Publication date: 15 January 2024

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

neural networkquadrature ruledynamical systemdenoisingdeep learning

Mathematics Subject Classification ID

Artificial intelligence (68Txx) Numerical methods for ordinary differential equations (65Lxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

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• Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
• Automated reverse engineering of nonlinear dynamical systems
• Robust data-driven discovery of governing physical laws with error bars
• The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation
• Nonparametric inference of interaction laws in systems of agents from trajectory data
• Dynamic systems identification with Gaussian processes

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