Overview
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Learn to apply Dynamic Mode Decomposition (DMD) for data-driven mathematical modeling using the PyDMD Python package in this comprehensive 55-minute tutorial. Explore the theoretical foundations of DMD algorithm and discover why data-driven modeling techniques are essential for scientists and engineers. Master the practical implementation of PyDMD through hands-on coding demonstrations that cover installation, synthetic dataset creation, model building and fitting, and interpretation of core model attributes. Develop skills in data reconstruction, model summary plotting, and construction of complex PyDMD models while working with noisy synthetic data. Gain the ability to extract system diagnostics, create reconstructions and predictions, and derive governing equations from snapshot data using this powerful decomposition technique.
Syllabus
-- Intro and video overview
-- Why do we build mathematical models?
-- Dynamic Mode Decomposition DMD
-- Introduction to PyDMD
-- PyDMD installation
-- Building the toy data set
-- Building and fitting basic PyDMD models
-- Accessing and understanding core model attributes
-- Data reconstruction
-- Model summary plotting
-- Building more complex PyDMD models
Taught by
Steve Brunton