Interpolatory Methods for Model Reduction

Released on by A. C. Antoulas
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  • Interpolatory Methods for Model Reduction Book Detail

  • Author : A. C. Antoulas
  • Release Date : 2020-01-13
  • Publisher : SIAM
  • Genre : Mathematics
  • Pages : 244
  • ISBN 13 : 1611976081
  • File Size : 8,8 MB
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Interpolatory Methods for Model Reduction by A. C. Antoulas PDF Summary

Book Description: 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.

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Interpolatory Methods for Model Reduction

Interpolatory Methods for Model Reduction

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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

Interpolatory Methods for Model Reduction

Interpolatory Methods for Model Reduction

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"In this book, the authors focus on interpolatory methods, considering both linear and nonlinear dynamical systems, as well as systems that are parameter depend

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Many physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing com

Model Reduction of Parametrized Systems

Model Reduction of Parametrized Systems

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The special volume offers a global guide to new concepts and approaches concerning the following topics: reduced basis methods, proper orthogonal decomposition,