A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition

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 naturall...

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Bibliographic Details
Main Authors Patyn, Christophe, Deconinck, Geert
Format Journal Article
LanguageEnglish
Published 16.09.2024
Subjects
Computer Science - Numerical Analysis
Mathematics - Dynamical Systems
Mathematics - Numerical Analysis
Online AccessGet full text
DOI10.48550/arxiv.2410.02766

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Summary: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.
DOI:10.48550/arxiv.2410.02766