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Dynamic Mode Decomposition

Data-Driven Modeling of Complex Systems

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Paperback, 250 blz. | Engels
Society for Industrial and Applied Mathematics | e druk, 2017
ISBN13: 9781611974492
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Society for Industrial and Applied Mathematics e druk, 2017 9781611974492
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Samenvatting

Data-driven dynamical systems is a burgeoning field, connecting how measurements of nonlinear dynamical systems and/or complex systems can be used with well-established methods in dynamical systems theory. This is the first book to address the DMD algorithm and present a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development. By blending theoretical development, example codes, and applications, the theory and its many innovations and uses are showcased. The efficacy of the DMD algorithm is shown through the inclusion of example problems from engineering, physical sciences, and biological sciences, and the authors provide extensive MATLAB® code, data for intuitive examples of key methods, and graphical presentations. This book can therefore be used in courses that integrate data analysis with dynamical systems, and will be a useful resource for engineers and applied mathematicians.

Specificaties

ISBN13:9781611974492
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:250
Uitgever:Society for Industrial and Applied Mathematics

Inhoudsopgave

Preface; Notation; Acronyms; 1. Dynamic mode decomposition: an introduction; 2. Fluid dynamics; 3. Koopman analysis; 4. Video processing; 5. Multiresolution DMD; 6. DMD with control; 7. Delay coordinates, ERA, and hidden Markov models; 8. Noise and power; 9. Sparsity and DMD; 10. DMD on nonlinear observables; 11. Epidemiology; 12. Neuroscience; 13. Financial trading; Glossary; Bibliography; Index.

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€ 87,03
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        Dynamic Mode Decomposition