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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Interpolatory Methods for Model Reduction (Paperback)
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Interpolatory Methods for Model Reduction (Paperback)
Series: Computational Science and Engineering 21
Expected to ship within 12 - 17 working days
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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 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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