Dynamic Mode Decomposition
DMD Theory
Introduction to DMD (CH 1)
Koopman Theory (CH 3)
Nonlinear Observables (CH 10)
multi-resolution DMD (CH 5)
Advanced Theory
DMD with Control (CH 6)
Delay Coordinates & ERA (CH 7)
Noise and Power (CH 8)
Sparsity and DMD (CH 9)
Applications
Fluid Dynamics (CH 2)
Video Processing (CH 4)
Epidemiology (CH 11)
Neuroscience (CH 12)
Finance (CH 14)
Multi-resolution analysis for multi-scale physics
Multi-Resolution Dynamic Mode Decomposition
 
This video highlights the recent innovation of multi-resolution analysis applied to dynamic mode decomposition.
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J. N. Kutz, X. Fu and S. L. Brunton,
Multi-resolution dynamic mode decomposition
SIAM Journal of Applied Dynamical Systems 15 (2016) 713-735