Linearization Models For Complex Dynamical Systems
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Author | : Mark Elin |
Publisher | : Birkhäuser |
Total Pages | : 268 |
Release | : 2010-06-14 |
Genre | : Mathematics |
ISBN | : 9783034605083 |
Download Linearization Models for Complex Dynamical Systems Book in PDF, Epub and Kindle
Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schröder’s and Abel’s functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the study of problems in complex analysis, stochastic and evolution processes and approximation theory.
Author | : Mark Elin |
Publisher | : Springer Science & Business Media |
Total Pages | : 271 |
Release | : 2011-02-09 |
Genre | : Mathematics |
ISBN | : 3034605099 |
Download Linearization Models for Complex Dynamical Systems Book in PDF, Epub and Kindle
Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schröder’s and Abel’s functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the study of problems in complex analysis, stochastic and evolution processes and approximation theory.
Author | : Peter Benner |
Publisher | : Springer Nature |
Total Pages | : 415 |
Release | : 2021-08-26 |
Genre | : Mathematics |
ISBN | : 3030729834 |
Download Model Reduction of Complex Dynamical Systems Book in PDF, Epub and Kindle
This contributed volume presents some of the latest research related to model order reduction of complex dynamical systems with a focus on time-dependent problems. Chapters are written by leading researchers and users of model order reduction techniques and are based on presentations given at the 2019 edition of the workshop series Model Reduction of Complex Dynamical Systems – MODRED, held at the University of Graz in Austria. The topics considered can be divided into five categories: system-theoretic methods, such as balanced truncation, Hankel norm approximation, and reduced-basis methods; data-driven methods, including Loewner matrix and pencil-based approaches, dynamic mode decomposition, and kernel-based methods; surrogate modeling for design and optimization, with special emphasis on control and data assimilation; model reduction methods in applications, such as control and network systems, computational electromagnetics, structural mechanics, and fluid dynamics; and model order reduction software packages and benchmarks. This volume will be an ideal resource for graduate students and researchers in all areas of model reduction, as well as those working in applied mathematics and theoretical informatics.
Author | : Leslaw Socha |
Publisher | : Springer Science & Business Media |
Total Pages | : 392 |
Release | : 2007-12-20 |
Genre | : Technology & Engineering |
ISBN | : 3540729968 |
Download Linearization Methods for Stochastic Dynamic Systems Book in PDF, Epub and Kindle
For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.
Author | : Krzysztof Kowalski |
Publisher | : World Scientific |
Total Pages | : 192 |
Release | : 1991-03-26 |
Genre | : Mathematics |
ISBN | : 9814506346 |
Download Nonlinear Dynamical Systems And Carleman Linearization Book in PDF, Epub and Kindle
The Carleman linearization has become a new powerful tool in the study of nonlinear dynamical systems. Nevertheless, there is the general lack of familiarity with the Carleman embedding technique among those working in the field of nonlinear models. This book provides a systematic presentation of the Carleman linearization, its generalizations and applications. It also includes a review of existing alternative methods for linearization of nonlinear dynamical systems. There are probably no books covering such a wide spectrum of linearization algorithms. This book also gives a comprehensive introduction to the Kronecker product of matrices, whereas most books deal with it only superficially. The Kronecker product of matrices plays an important role in mathematics and in applications found in theoretical physics.
Author | : Steven L. Brunton |
Publisher | : Cambridge University Press |
Total Pages | : 615 |
Release | : 2022-05-05 |
Genre | : Computers |
ISBN | : 1009098489 |
Download Data-Driven Science and Engineering Book in PDF, Epub and Kindle
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
Author | : Leslaw Socha |
Publisher | : Springer |
Total Pages | : 383 |
Release | : 2009-09-02 |
Genre | : Technology & Engineering |
ISBN | : 9783540839385 |
Download Linearization Methods for Stochastic Dynamic Systems Book in PDF, Epub and Kindle
For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.
Author | : Athanasios C. Antoulas |
Publisher | : SIAM |
Total Pages | : 489 |
Release | : 2009-06-25 |
Genre | : Mathematics |
ISBN | : 0898716586 |
Download Approximation of Large-Scale Dynamical Systems Book in PDF, Epub and Kindle
Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.
Author | : Mark Agranovsky |
Publisher | : Birkhäuser |
Total Pages | : 373 |
Release | : 2018-01-31 |
Genre | : Mathematics |
ISBN | : 3319701541 |
Download Complex Analysis and Dynamical Systems Book in PDF, Epub and Kindle
This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences. Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.
Author | : Peter Benner |
Publisher | : |
Total Pages | : 0 |
Release | : 2021 |
Genre | : |
ISBN | : 9783030729844 |
Download Model Reduction of Complex Dynamical Systems Book in PDF, Epub and Kindle
This contributed volume presents some of the latest research related to model order reduction of complex dynamical systems with a focus on time-dependent problems. Chapters are written by leading researchers and users of model order reduction techniques and are based on presentations given at the 2019 edition of the workshop series Model Reduction of Complex Dynamical Systems - MODRED, held at the University of Graz in Austria. The topics considered can be divided into five categories: system-theoretic methods, such as balanced truncation, Hankel norm approximation, and reduced-basis methods; data-driven methods, including Loewner matrix and pencil-based approaches, dynamic mode decomposition, and kernel-based methods; surrogate modeling for design and optimization, with special emphasis on control and data assimilation; model reduction methods in applications, such as control and network systems, computational electromagnetics, structural mechanics, and fluid dynamics; and model order reduction software packages and benchmarks. This volume will be an ideal resource for graduate students and researchers in all areas of model reduction, as well as those working in applied mathematics and theoretical informatics.