Ido Cohen (Technion - Israel Institute of Technology), Guy Gilboa (Technion - Israel Institute of Technology)

Latent Modes of Nonlinear Flows

A Koopman Theory Analysis

• Broschiertes Buch

Produktbeschreibung

Extracting the latent underlying structures of complex nonlinear local and nonlocal flows is essential for their analysis and modeling. In this Element the authors attempt to provide a consistent framework through Koopman theory and its related popular discrete approximation - dynamic mode decomposition (DMD).

Produktdetails

• Elements in Non-local Data Interactions: Foundations and Applications
• Verlag: Cambridge University Press
• Seitenzahl: 75
• Erscheinungstermin: 29. Juni 2023
• Englisch
• Abmessung: 229mm x 152mm x 3mm
• Gewicht: 112g
• ISBN-13: 9781009323857
• ISBN-10: 1009323857
• Artikelnr.: 67791959

Inhaltsangabe

1. Introduction
2. Preliminaries
3. Motivation for This Work
4. Koopman Eigenfunctions and Modes
5. Koopman Theory for Partial Differential Equation
6. Mode Decomposition Based on Time State-Space Mapping
7. Examples
8. Conclusion
List of Symbols
List of Abbreviations
Appendix A Extended Dynamic Mode Decomposition Induced from Inverse Mapping
Appendix B Sparse Representation
References.