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Interpolatory Methods for Model Reduction, Athanasios C. Antoulas


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Автор: Athanasios C. Antoulas
Название:  Interpolatory Methods for Model Reduction
ISBN: 9781611976076
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1611976073
Обложка/Формат: Paperback
Страницы: 232
Вес: 0.53 кг.
Дата издания: 28.02.2020
Серия: Computational science and engineering 21
Язык: English
Размер: 181 x 255 x 24
Ключевые слова: Calculus & mathematical analysis,Computing & information technology,Differential calculus & equations,Mathematical modelling,Mathematics,Numerical analysis
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Поставляется из: Англии
Описание: Dynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. Interpolatory methods are among the most widely used model reduction techniques, and Interpolatory Methods for Model Reduction is the first comprehensive analysis of this approach available in a single, extensive resource. It introduces state-of-the-art methods reflecting significant developments over the past two decades, covering both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks.This textbook is appropriate for a wide audience of engineers and other scientists working in the general areas of large-scale dynamical systems and data-driven modeling of dynamics.
Дополнительное описание: Mathematics|Numerical analysis|Mathematical modelling|Differential calculus and equations|Computing and Information Technology



Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms

Автор: Peter Benner, Wilhelmus Schilders, Stefano Grivet-Talocia, Alfio Quarteroni, Gianluigi Rozza, Luis Miguel Silveira
Название: Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms
ISBN: 3110500434 ISBN-13(EAN): 9783110500431
Издательство: Walter de Gruyter
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Цена: 31603.00 р.
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Описание:

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.

Index-aware Model Order Reduction Methods

Автор: N. Banagaaya; Giuseppe Al?; Wil H.A. Schilders
Название: Index-aware Model Order Reduction Methods
ISBN: 9462391882 ISBN-13(EAN): 9789462391888
Издательство: Springer
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Цена: 7685.00 р.
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Описание: The main aim of this book is to discuss model order reduction (MOR) methods for differential-algebraic equations (DAEs) with linear coefficients that make use of splitting techniques before applying model order reduction.


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