Dynamic Mode Decomposition

J. Nathan Kutz is the Robert Bolles and Yasuko Endo Professor of Applied Mathematics, Adjunct Professor of Physics and Electrical Engineering, and Senior Data Science Fellow with the eScience Institute at the University of Washington. Steven L. Brunton is an Assistant Professor of Mechanical Engineering, Adjunct Assistant Professor of Applied Mathematics, and a Data Science Fellow with the eScience Institute at the University of Washington. Bingni W. Brunton is the Washington Research Foundation Innovation Assistant Professor of Biology and a Data Science Fellow with the eScience Institute at the University of Washington. Joshua L. Proctor is an Associate Principal Investigator with the Institute for Disease Modeling, Washington, as well as Affiliate Assistant Professor of Applied Mathematics and Mechanical Engineering at the University of Washington.

• PrefaceNotationsAcronymsChapter 1: Dynamic Mode Decomposition: An IntroductionChapter 2: Fluid DynamicsChapter 3: Koopman AnalysisChapter 4: Video ProcessingChapter 5: Multiresolution DMDChapter 6: DMD with ControlChapter 7: Delay Coordinates, ERA, and Hidden Markov ModelsChapter 8: Noise and PowerChapter 9: Sparsity and DMDChapter 10: DMD on Nonlinear ObservablesChapter 11: EpidemiologyChapter 12: NeuroscienceChapter 13: Financial TradingGlossaryBibliographyIndex.