Computational Methods for Approximation of Large-Scale Dynamical Systems Book Information:

omputer-based simulation is consideredthe quintessential approach to exploring new ideas in the different disciplines of science, engineering and technology (SET).To perform simulations, a physical system needs to be modeled using mathematics; these models are often represented by linear time-invariant (LTI) continuous-time (CT) systems. Oftentimes these systems are subject to additional algebraic constraints, leading to first- or second-order differential-algebraic equations (DAEs), otherwise known asdescriptor systems. Such large-scale systems generally lead to massive memory requirements and enormous computational complexity, thus restricting frequent simulations, whichare required by many applications. To resolve these complexities, the higher-dimensional system may be approximated by a substantially lower-dimensional one through model order reduction (MOR) techniques. ComputationalMethods for Approximation of Large-Scale Dynamical Systemsdiscusses computational techniques for the MOR of large-scale sparse LTI CT systems. Although the book puts emphasis on the MOR of descriptor systems, it begins by showing and comparing the various MOR techniques for standard systems. The book also discusses the low-rank alternating direction implicit (LR-ADI) iteration and the issues related to solving the Lyapunov equation of large-scale sparse LTI systems to compute the low-rank Gramian factors, which are important components for implementingthe Gramian-basedMOR. Although this book is primarly aimed at post-graduate studentsand researchers of the various SET disciplines, thebasic contents of this book can be supplemental to the advanced bachelor's-level students as well. It can also serve as an invaluable referenceto researchers working in academics and industries alike. Features: Provides an up-to-date, step-by-step guide for its readers. Each chapter develops theories andprovides necessary algorithms, worked examples, numerical experiments and related exercises. With the combination of this book and its supplementary materials, the reader gains a sound understanding of the topic. The MATLAB codes for some selected algorithms are provided in the book. The solutions to the exercise problems, experiment data sets and a digital copy of the software are provided on the book's website; The numerical experiments use real-world data setsobtained from industries and research institutes.

• Book Type/Genre :

Textbooks & Study Guides

• Book Binding :

Hardcover

• Language :

English

• Number of Pages :

Page count varies on each edition/reprint

• ISBN - 10 :

• Computational Methods for Approximation of Large-Scale Dynamical Systems Published On :

2019

• Resource:

Textbooks & Study Guides, Higher Education Textbooks Book is recommended for Students, Teachers, Graduates, Professionals, and all bibliophiles

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