Approximation of Large-Scale Dynamical Systems
by Athanasios C Antoulas (9780898715293)

Approximation of Large-Scale Dynamical Systems
Athanasios C Antoulas
Release Date: 01 Jan 2005
Format: Hardback
Pages: 507
Category: Applied Mathematics
ISBN: 9780898715293
ISBN-10: 0898715296

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.

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