Higher Order Dynamic Mode Decomposition and its Applications - 1st Edition - ISBN: 9780128197431

Higher Order Dynamic Mode Decomposition and its Applications

1st Edition

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Authors: Jose Manuel Vega Soledad Le Clainche
Paperback ISBN: 9780128197431
Imprint: Academic Press
Published Date: 1st September 2020
Page Count: 250
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Description

Higher Order Dynamic Mode Decomposition and its Applications provides detailed background theory, as well as several fully explained applications from a range of industrial contexts to help readers understand and use this innovative algorithm. Data-driven modelling of complex systems is a rapidly evolving field, which has applications in domains including engineering, medical, biological, and physical sciences, where it is providing ground-breaking insights into complex systems that exhibit rich multi-scale phenomena in both time and space.

Starting with an introductory summary of established order reduction techniques like POD, DEIM, Koopman, and DMD, this book proceeds to provide a detailed explanation of higher order DMD, and to explain its advantages over other methods. Technical details of how the HODMD can be applied to a range of industrial problems will help the reader decide how to use the method in the most appropriate way, along with example MATLAB codes and advice on how to analyse and present results.

Key Features

  • Includes instructions for the implementation of the HODMD, MATLAB codes, and extended discussions of the algorithm
  • Includes descriptions of other order reduction techniques, and compares their strengths and weaknesses
  • Provides examples of applications involving complex flow fields, in contexts including aerospace engineering, geophysical flows, and wind turbine design

Readership

MSc students and researchers

Table of Contents

1. General introduction and scope of the book
2. Higher Order Dynamic Mode Decomposition
3. HODM applications to the analysis of flight tests and magnetic resonance
4. Spatio-temporal Koopman decomposition
5. Application of HODM and STKD to some pattern forming systems
6. Applications of HODMD and STKD in fluid dynamics
7. Applications of HODM and STKD in the wind industry
8. HODM and STKD as data driven reduced order models
9. Conclusions

Details

No. of pages:
250
Language:
English
Copyright:
© Academic Press 2021
Published:
1st September 2020
Imprint:
Academic Press
Paperback ISBN:
9780128197431

About the Author

Jose Manuel Vega

Professor Vega is an expert in various areas of applied mathematics, including the analysis of non-linear systems, fluid dynamics, and reduced order models. He has developed the algorithm 'Higher order dynamic mode decomposition' and is using it in several applications.

Affiliations and Expertise

Professor, School of Aerospace Engineering, Universidad Politecnica de Madrid, Spain

Soledad Le Clainche

Dr Le Clainche is an expert in the analysis of flow structures and computational fluid dynamics. She has contributed in the development of the algorithm 'Higher order dynamic mode decomposition' and is using it in several applications.

Affiliations and Expertise

Lecturer, School of Aerospace Engineering, Universidad Politecnica de Madrid, Spain

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