000			02420nam a22001937a 4500
005			20221227150931.0
008			220915b |||||||| |||| 00| 0 eng d
020			_a9781611974492
082			_a518.2 _bKUT
100			_a Kutz, Jose Nathan
245			_aDynamic mode decomposition : _bdata-driven modeling of complex systems
260			_aPhiladelphia, _bSociety for Industrial and Applied Mathematics, _c 2016
300			_a1 v. (XVI-234 p.) : _billustrations ; _c26 cm
505			_t1. Dynamic mode decomposition : an introduction _t2. Fluid dynamics _t3. Koopman analysis _t4. Video processing _t5. Multiresolution DMD _t6. DMD with control _t7. Delay coordinates, ERA, and hidden Markov models _t8. Noise and power _t9. Sparsity and DMD _t10. DMD on nonlinear observables _t11. Epidemiology _t12. Neuroscience _t13. Financial trading
520			_aData-driven dynamical systems is a burgeoning fieldit connects how measurements of nonlinear dynamical systems and/or complex systems can be used with well-established methods in dynamical systems theory. This is a critically important new direction because the governing equations of many problems under consideration by practitioners in various scientific fields are not typically known. Thus, using data alone to help derive, in an optimal sense, the best dynamical system representation of a given application allows for important new insights. The recently developed dynamic mode decomposition (DMD) is an innovative tool for integrating data with dynamical systems theory. The DMD has deep connections with traditional dynamical systems theory and many recent innovations in compressed sensing and machine learning. Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems, the first book to address the DMD algorithm, presents a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development; blends theoretical development, example codes, and applications to showcase the theory and its many innovations and uses; highlights the numerous innovations around the DMD algorithm and demonstrates its efficacy using example problems from engineering and the physical and biological sciences; and provides extensive MATLAB code, data for intuitive examples of key methods, and graphical presentations.
650			_aMathematical analysis
650			_aDecomposition (Mathematics)
942			_2ddc _cBK
999			_c1817 _d1817