An introduction to the Koopman Operator (DS4DS 8.01)

Important references: [1] Williams et al. "A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition", 2015. DOI: https://doi.org/10.1007/s00332-015-92... [2] Brunton et al. "Modern Koopman Theory for Dynamical Systems", 2022. DOI: https://doi.org/10.1137/21M1401243 Source of the fluid flow data: http://dmdbook.com/ Hosts: Sebastian Peitz - https://orcid.org/0000-0002-3389-793X Oliver Wallscheid -   / wallscheid   Programming examples / Julia code via GitHub: https://github.com/DS-4-DS/DS4DS_Course Code for this video: notebooks/Koopman/VortexShedding.ipynb Supported by the ‘digi-Fellows’ program granted by Paderborn University: https://www.uni-paderborn.de/en/