A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition
Numerical Analysis
2024-10-07 v1 Numerical Analysis
Dynamical Systems
Abstract
The framework of Koopman operator theory is discussed along with its connections to Dynamic Mode Decomposition (DMD) and (Kernel) Extended Dynamic Mode Decomposition (EDMD). This paper provides a succinct overview with consistent notation. The authors hope to provide an exposition that more naturally emphasizes the connections between theory and algorithms which may result in a sense of clarity on the subject.
Cite
@article{arxiv.2410.02766,
title = {A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition},
author = {Christophe Patyn and Geert Deconinck},
journal= {arXiv preprint arXiv:2410.02766},
year = {2024}
}
Comments
13 pages, subject introduction paper