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Evaluating spectral measure
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Classroom Contents
Residual Dynamic Mode Decomposition- Rigorous Data-Driven Computation of Spectral Properties of Koopman Operators for Dynamical Systems
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- 1 Intro
- 2 Operator viewpoint
- 3 Koopman mode decomposition
- 4 Build the matrix: Dynamic Mode Decompositio
- 5 ResDMD: avoiding "too little"
- 6 Setup for continuous spectra
- 7 Spectral decomposition of operators
- 8 Evaluating spectral measure
- 9 Example: non-linear pendulum
- 10 Approximate eigenfunctions
- 11 Quadrature with trajectory data
- 12 Example: Verify the dictionary
- 13 Example: Trustworthy Koopman mode decom
