# Higher Order Dynamic Mode Decomposition and Its Applications

Download and Read online **Higher Order Dynamic Mode Decomposition and Its Applications**, ebooks in PDF, epub, Tuebl Mobi, Kindle Book. Get Free **Higher Order Dynamic Mode Decomposition And Its Applications** Textbook and unlimited access to our library by created an account. Fast Download speed and ads Free!

## Higher Order Dynamic Mode Decomposition and Its Applications

Author | : Jose Manuel Vega,Soledad Le Clainche |

Publsiher | : Academic Press |

Total Pages | : 320 |

Release | : 2020-09-30 |

ISBN 10 | : 0128227664 |

ISBN 13 | : 9780128227664 |

Language | : EN, FR, DE, ES & NL |

**Higher Order Dynamic Mode Decomposition and Its Applications Book Review:**

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. 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

## Higher Order Dynamic Mode Decomposition and Its Applications

Author | : Jose Manuel Vega,Soledad Le Clainche |

Publsiher | : Academic Press |

Total Pages | : 320 |

Release | : 2020-10-14 |

ISBN 10 | : 0128197439 |

ISBN 13 | : 9780128197431 |

Language | : EN, FR, DE, ES & NL |

**Higher Order Dynamic Mode Decomposition and Its Applications Book Review:**

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. 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

## Dynamic Mode Decomposition

Author | : J. Nathan Kutz,Steven L. Brunton,Bingni W. Brunton,Joshua L. Proctor |

Publsiher | : SIAM |

Total Pages | : 234 |

Release | : 2016-11-23 |

ISBN 10 | : 1611974496 |

ISBN 13 | : 9781611974492 |

Language | : EN, FR, DE, ES & NL |

**Dynamic Mode Decomposition Book Review:**

Data-driven dynamical systems is a burgeoning field?it 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.

## 14th International Conference on Soft Computing Models in Industrial and Environmental Applications SOCO 2019

Author | : Francisco Martínez Álvarez,Alicia Troncoso Lora,José António Sáez Muñoz,Héctor Quintián,Emilio Corchado |

Publsiher | : Springer |

Total Pages | : 609 |

Release | : 2019-04-30 |

ISBN 10 | : 3030200558 |

ISBN 13 | : 9783030200558 |

Language | : EN, FR, DE, ES & NL |

**14th International Conference on Soft Computing Models in Industrial and Environmental Applications SOCO 2019 Book Review:**

This book includes 57 papers presented at the SOCO 2019 conference held in the historic city of Seville (Spain), in May 2019. Soft computing represents a set of computational techniques in machine learning, computer science and various engineering disciplines, which investigate, simulate, and analyze very complex issues and phenomena. The selection of papers was extremely rigorous in order to maintain the high quality of the conference, which featured a number of special sessions, including sessions on: Soft Computing Methods in Manufacturing and Management Systems; Soft Computing Applications in the Field of Industrial and Environmental Enterprises; Optimization, Modeling and Control by Soft Computing Techniques; and Soft Computing in Aerospace, Mechanical and Civil Engineering: New methods and Industrial Applications.

## Data Driven Science and Engineering

Author | : Steven L. Brunton,J. Nathan Kutz |

Publsiher | : Cambridge University Press |

Total Pages | : 500 |

Release | : 2019-02-28 |

ISBN 10 | : 1108422098 |

ISBN 13 | : 9781108422093 |

Language | : EN, FR, DE, ES & NL |

**Data Driven Science and Engineering Book Review:**

This beginning graduate textbook teaches data science and machine learning methods for modeling, prediction, and control of complex systems.

## Hilbert Huang Transform and Its Applications

Author | : Norden E Huang,Samuel S P Shen |

Publsiher | : World Scientific |

Total Pages | : 400 |

Release | : 2014-04-22 |

ISBN 10 | : 981450825X |

ISBN 13 | : 9789814508254 |

Language | : EN, FR, DE, ES & NL |

**Hilbert Huang Transform and Its Applications Book Review:**

This book is written for scientists and engineers who use HHT (Hilbert–Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges. The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD. The book also provides a platform for researchers to develop the HHT method further and to identify more applications. Contents:Introduction to the Hilbert–Huang Transform and Its Related Mathematical ProblemsEnsemble Empirical Mode Decomposition and Its Multi-Dimensional ExtensionsMultivariate Extensions of Empirical Mode DecompositionB-Spline Based Empirical Mode DecompositionEMD Equivalent Filter Banks, From Interpretation to ApplicationsHHT Sifting and FilteringStatistical Significance Test of Intrinsic Mode FunctionsThe Time-Dependent Intrinsic CorrelationThe Application of Hilbert–Huang Transforms to Meteorological DatasetsEmpirical Mode Decomposition and Climate VariabilityEMD Correction of Orbital Drift Artifacts in Satellite Data StreamHHT Analysis of the Nonlinear and Non-Stationary Annual Cycle of Daily Surface Air Temperature DataHilbert Spectra of Nonlinear Ocean WavesEMD and Instantaneous Phase Detection of Structural DamageHTT-Based Bridge Structural Health-Monitoring MethodApplications of HHT in Image Analysis Readership: Applied mathematicians, climate scientists, highway engineers, medical scientists, geologists, civil engineers, mechanical engineers, electrical engineers, economics and graduate students in science or engineering. Keywords:HilbertâHuang Transform;Empirical Mode Decomposition;Intrinsic Mode Function;Hilbert Spectral Analysis;Time-Frequency AnalysisKey Features:A tool book for analyzing nonlinear and non-stationary dataA source book for HHT development and applicationsThe most complete reference for HHT method and applications

## The Koopman Operator in Systems and Control

Author | : Alexandre Mauroy,Igor Mezić,Yoshihiko Susuki |

Publsiher | : Springer Nature |

Total Pages | : 556 |

Release | : 2020-02-22 |

ISBN 10 | : 3030357139 |

ISBN 13 | : 9783030357139 |

Language | : EN, FR, DE, ES & NL |

**The Koopman Operator in Systems and Control Book Review:**

This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theory. The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a specific problem. After a brief introduction of the Koopman operator framework, including basic notions and definitions, the book explores numerical methods, such as the dynamic mode decomposition (DMD) algorithm and Arnoldi-based methods, which are used to represent the operator in a finite-dimensional basis and to compute its spectral properties from data. The main body of the book is divided into three parts: theoretical results and numerical techniques for observer design, synthesis analysis, stability analysis, parameter estimation, and identification; data-driven techniques based on DMD, which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems; and Koopman operator techniques with specific applications in systems and control, which range from heat transfer analysis to robot control. A useful reference resource on the Koopman operator theory for control theorists and practitioners, the book is also of interest to graduate students, researchers, and engineers looking for an introduction to a novel and comprehensive approach to systems and control, from pure theory to data-driven methods.

## Turbulence Coherent Structures Dynamical Systems and Symmetry

Author | : Philip Holmes |

Publsiher | : Cambridge University Press |

Total Pages | : 386 |

Release | : 2012-02-23 |

ISBN 10 | : 1107008255 |

ISBN 13 | : 9781107008250 |

Language | : EN, FR, DE, ES & NL |

**Turbulence Coherent Structures Dynamical Systems and Symmetry Book Review:**

Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.

## Stochastic Tools in Turbulence

Author | : John L. Lumey |

Publsiher | : Elsevier |

Total Pages | : 208 |

Release | : 2012-12-02 |

ISBN 10 | : 0323162258 |

ISBN 13 | : 9780323162258 |

Language | : EN, FR, DE, ES & NL |

**Stochastic Tools in Turbulence Book Review:**

Stochastic Tools in Turbulence discusses the available mathematical tools to describe stochastic vector fields to solve problems related to these fields. The book deals with the needs of turbulence in relation to stochastic vector fields, particularly, on three-dimensional aspects, linear problems, and stochastic model building. The text describes probability distributions and densities, including Lebesgue integration, conditional probabilities, conditional expectations, statistical independence, lack of correlation. The book also explains the significance of the moments, the properties of the characteristic function, and the Gaussian distribution from a more physical point of view. In considering fields, one must account for single-valued functions of one or more parameters, or collections of single-valued functions of one or more parameters such as time or space coordinates. The text also discusses multidimensional vector fields of finite energy, the characteristic eddies for a homogenous vector field, as well as, the distribution of solutions of an algebraic equation. Engineers, algebra students, and professors of statistics and advanced mathematics will find the book highly useful.

## Shallow Flows

Author | : Gerhard H. Jirka,Wim S.J. Uijttewaal |

Publsiher | : Taylor & Francis |

Total Pages | : 684 |

Release | : 2004-09-15 |

ISBN 10 | : 1135288429 |

ISBN 13 | : 9781135288426 |

Language | : EN, FR, DE, ES & NL |

**Shallow Flows Book Review:**

This text presents the key findings of the International Symposium held in Delft in 2003, which explored the process of shallow flows. Shallow flows are found in lowland rivers, lakes, estuaries, bays, coastal areas and in density-stratified atmospheres, and may be observed in puddles, as in oceans. They impact on the life and work of a wide variety of readers, who are here provided with a clear overview of the subject. Shallow flows are intrinsically turbulent. On one hand, there are strongly three-dimensional, small-scale turbulent motions and on the other hand, large-scale quasi-two-dimensional turbulence. This book explains and examines these differences and their effects with sections on transport processes in shallow flows; shallow jets, wakes and mixing layers; stratified and rotating flows in ocean and atmosphere; river and channel flows; and numerical modelling and turbulence closure techniques. The reader is provided with the pick of current studies and a fresh approach to the subject, with expert examination of a fascinating and crucial phenomenon of our world's water systems.

## Numerical Linear Algebra

Author | : Lloyd N. Trefethen,David Bau, III |

Publsiher | : SIAM |

Total Pages | : 361 |

Release | : 1997-01-01 |

ISBN 10 | : 9780898719574 |

ISBN 13 | : 0898719577 |

Language | : EN, FR, DE, ES & NL |

**Numerical Linear Algebra Book Review:**

A concise, insightful, and elegant introduction to the field of numerical linear algebra. Designed for use as a stand-alone textbook in a one-semester, graduate-level course in the topic, it has already been class-tested by MIT and Cornell graduate students from all fields of mathematics, engineering, and the physical sciences. The authors' clear, inviting style and evident love of the field, along with their eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike.

## Handbook of Robust Low Rank and Sparse Matrix Decomposition

Author | : Thierry Bouwmans,Necdet Serhat Aybat,El-hadi Zahzah |

Publsiher | : CRC Press |

Total Pages | : 520 |

Release | : 2016-09-20 |

ISBN 10 | : 1315353539 |

ISBN 13 | : 9781315353531 |

Language | : EN, FR, DE, ES & NL |

**Handbook of Robust Low Rank and Sparse Matrix Decomposition Book Review:**

Handbook of Robust Low-Rank and Sparse Matrix Decomposition: Applications in Image and Video Processing shows you how robust subspace learning and tracking by decomposition into low-rank and sparse matrices provide a suitable framework for computer vision applications. Incorporating both existing and new ideas, the book conveniently gives you one-stop access to a number of different decompositions, algorithms, implementations, and benchmarking techniques. Divided into five parts, the book begins with an overall introduction to robust principal component analysis (PCA) via decomposition into low-rank and sparse matrices. The second part addresses robust matrix factorization/completion problems while the third part focuses on robust online subspace estimation, learning, and tracking. Covering applications in image and video processing, the fourth part discusses image analysis, image denoising, motion saliency detection, video coding, key frame extraction, and hyperspectral video processing. The final part presents resources and applications in background/foreground separation for video surveillance. With contributions from leading teams around the world, this handbook provides a complete overview of the concepts, theories, algorithms, and applications related to robust low-rank and sparse matrix decompositions. It is designed for researchers, developers, and graduate students in computer vision, image and video processing, real-time architecture, machine learning, and data mining.

## The Finite Volume Method in Computational Fluid Dynamics

Author | : F. Moukalled,L. Mangani,M. Darwish |

Publsiher | : Springer |

Total Pages | : 791 |

Release | : 2015-08-13 |

ISBN 10 | : 3319168746 |

ISBN 13 | : 9783319168746 |

Language | : EN, FR, DE, ES & NL |

**The Finite Volume Method in Computational Fluid Dynamics Book Review:**

This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems. With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.

## Business Dynamics Systems Thinking and Modeling for a Complex World with CD ROM

Author | : John Sterman |

Publsiher | : McGraw-Hill Education |

Total Pages | : 982 |

Release | : 2000-02-23 |

ISBN 10 | : 9780072389159 |

ISBN 13 | : 007238915X |

Language | : EN, FR, DE, ES & NL |

**Business Dynamics Systems Thinking and Modeling for a Complex World with CD ROM Book Review:**

Today’s leading authority on the subject of this text is the author, MIT Standish Professor of Management and Director of the System Dynamics Group, John D. Sterman. Sterman’s objective is to explain, in a true textbook format, what system dynamics is, and how it can be successfully applied to solve business and organizational problems. System dynamics is both a currently utilized approach to organizational problem solving at the professional level, and a field of study in business, engineering, and social and physical sciences.

## The Hopf Bifurcation and Its Applications

Author | : J. E. Marsden,M. McCracken |

Publsiher | : Springer Science & Business Media |

Total Pages | : 408 |

Release | : 2012-12-06 |

ISBN 10 | : 1461263743 |

ISBN 13 | : 9781461263746 |

Language | : EN, FR, DE, ES & NL |

**The Hopf Bifurcation and Its Applications Book Review:**

The goal of these notes is to give a reasonahly com plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe cific problems, including stability calculations. Historical ly, the subject had its origins in the works of Poincare [1] around 1892 and was extensively discussed by Andronov and Witt [1] and their co-workers starting around 1930. Hopf's basic paper [1] appeared in 1942. Although the term "Poincare Andronov-Hopf bifurcation" is more accurate (sometimes Friedrichs is also included), the name "Hopf Bifurcation" seems more common, so we have used it. Hopf's crucial contribution was the extension from two dimensions to higher dimensions. The principal technique employed in the body of the text is that of invariant manifolds. The method of Ruelle Takens [1] is followed, with details, examples and proofs added. Several parts of the exposition in the main text come from papers of P. Chernoff, J. Dorroh, O. Lanford and F. Weissler to whom we are grateful. The general method of invariant manifolds is common in dynamical systems and in ordinary differential equations: see for example, Hale [1,2] and Hartman [1]. Of course, other methods are also available. In an attempt to keep the picture balanced, we have included samples of alternative approaches. Specifically, we have included a translation (by L. Howard and N. Kopell) of Hopf's original (and generally unavailable) paper.

## Computer Vision

Author | : Richard Szeliski |

Publsiher | : Springer Science & Business Media |

Total Pages | : 812 |

Release | : 2010-09-30 |

ISBN 10 | : 9781848829350 |

ISBN 13 | : 1848829353 |

Language | : EN, FR, DE, ES & NL |

**Computer Vision Book Review:**

Computer Vision: Algorithms and Applications explores the variety of techniques commonly used to analyze and interpret images. It also describes challenging real-world applications where vision is being successfully used, both for specialized applications such as medical imaging, and for fun, consumer-level tasks such as image editing and stitching, which students can apply to their own personal photos and videos. More than just a source of “recipes,” this exceptionally authoritative and comprehensive textbook/reference also takes a scientific approach to basic vision problems, formulating physical models of the imaging process before inverting them to produce descriptions of a scene. These problems are also analyzed using statistical models and solved using rigorous engineering techniques. Topics and features: structured to support active curricula and project-oriented courses, with tips in the Introduction for using the book in a variety of customized courses; presents exercises at the end of each chapter with a heavy emphasis on testing algorithms and containing numerous suggestions for small mid-term projects; provides additional material and more detailed mathematical topics in the Appendices, which cover linear algebra, numerical techniques, and Bayesian estimation theory; suggests additional reading at the end of each chapter, including the latest research in each sub-field, in addition to a full Bibliography at the end of the book; supplies supplementary course material for students at the associated website, http://szeliski.org/Book/. Suitable for an upper-level undergraduate or graduate-level course in computer science or engineering, this textbook focuses on basic techniques that work under real-world conditions and encourages students to push their creative boundaries. Its design and exposition also make it eminently suitable as a unique reference to the fundamental techniques and current research literature in computer vision.

## Bandit Algorithms

Author | : Tor Lattimore,Csaba Szepesvári |

Publsiher | : Cambridge University Press |

Total Pages | : 536 |

Release | : 2020-07-16 |

ISBN 10 | : 1108486827 |

ISBN 13 | : 9781108486828 |

Language | : EN, FR, DE, ES & NL |

**Bandit Algorithms Book Review:**

A comprehensive and rigorous introduction for graduate students and researchers, with applications in sequential decision-making problems.

## Structure and Interpretation of Computer Programs

Author | : Harold Abelson,Gerald Jay Sussman,Julie Sussman |

Publsiher | : MIT Electrical Engineering and Computer Science |

Total Pages | : 657 |

Release | : 1996 |

ISBN 10 | : 0262510871 |

ISBN 13 | : 9780262510875 |

Language | : EN, FR, DE, ES & NL |

**Structure and Interpretation of Computer Programs Book Review:**

NOT AVAILABLE IN THE US AND CANADA. Customers in the US and Canada must order the Cloth edition of this title.

## Recent Applications in Data Clustering

Author | : Harun Pirim |

Publsiher | : BoD – Books on Demand |

Total Pages | : 248 |

Release | : 2018-08-01 |

ISBN 10 | : 178923526X |

ISBN 13 | : 9781789235265 |

Language | : EN, FR, DE, ES & NL |

**Recent Applications in Data Clustering Book Review:**

Clustering has emerged as one of the more fertile fields within data analytics, widely adopted by companies, research institutions, and educational entities as a tool to describe similar/different groups. The book Recent Applications in Data Clustering aims to provide an outlook of recent contributions to the vast clustering literature that offers useful insights within the context of modern applications for professionals, academics, and students. The book spans the domains of clustering in image analysis, lexical analysis of texts, replacement of missing values in data, temporal clustering in smart cities, comparison of artificial neural network variations, graph theoretical approaches, spectral clustering, multiview clustering, and model-based clustering in an R package. Applications of image, text, face recognition, speech (synthetic and simulated), and smart city datasets are presented.

## Python for Data Analysis

Author | : Wes McKinney |

Publsiher | : "O'Reilly Media, Inc." |

Total Pages | : 452 |

Release | : 2013 |

ISBN 10 | : 1449319793 |

ISBN 13 | : 9781449319793 |

Language | : EN, FR, DE, ES & NL |

**Python for Data Analysis Book Review:**

Presents case studies and instructions on how to solve data analysis problems using Python.