A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914964066795520 |
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| author | Patyn, Christophe Deconinck, Geert |
| author_facet | Patyn, Christophe Deconinck, Geert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02766 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition Patyn, Christophe Deconinck, Geert Numerical Analysis Dynamical Systems 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. |
| title | A concise introduction to Koopman operator theory and the Extended Dynamic Mode Decomposition |
| topic | Numerical Analysis Dynamical Systems |
| url | https://arxiv.org/abs/2410.02766 |