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Discovering Partial Differential Equations
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Classroom Contents
Sparse Nonlinear Models for Fluid Dynamics with Machine Learning and Optimization
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- 1 Introduction
- 2 Interpretable and Generalizable Machine Learning
- 3 SINDy Overview
- 4 Discovering Partial Differential Equations
- 5 Deep Autoencoder Coordinates
- 6 Modeling Fluid Flows with Galerkin Regression
- 7 Chaotic thermo syphon
- 8 Chaotic electroconvection
- 9 Magnetohydrodynamics
- 10 Nonlinear correlations
- 11 Stochastic SINDy models for turbulence
- 12 Dominant balance physics modeling
