Interpolatory methods for model reduction / A.C. Antoulas, C.A. Beattie, S. Gugercin.

Format:

Book

Author/Creator:

Antoulas, Athanasios C. (Athanasios Constantinos), 1950- author.

Beattie, C. A. (Christopher Andrew), author.

Gugercin, S. (Serkan), author.

Contributor:

Society for Industrial and Applied Mathematics, publisher.

Series:

Computational science and engineering.

Computational science and engineering

Language:

English

Subjects (All):

Mathematical models.

Interpolation.

Physical Description:

1 online resource (xi, 232 pages).

Place of Publication:

Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2020]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

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 this textbook is the first comprehensive analysis of this approach available in a form readily accessible to practitioners. Interpolatory Methods for Model Reduction provides a single, extensive resource for interpolatory model reduction techniques; contains state-of-the-art methods, which have matured significantly over the last two decades; and covers both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks.

Contents:

The model reduction enterprise

Systems theory sundries

Interpolatory model reduction

Data-driven model reduction and the Loewner modeling framework

Optimal H2 approximation via interpolation

Interpolatory model reduction of parameter-dependent systems

Interpolatory model reduction of nonlinear systems

Model reduction in related norms

Interpolatory reduction of differential algebraic systems

Iterative solves in interpolatory projections.

Notes:

Includes bibliographical references and index.

Description based on title page of print version.

ISBN:

1-61197-608-1

OCLC:

1137338719

Publisher Number:

CS21 SIAM