Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls (Computational Science and Engineering) - Image 1

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Wiley Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls (Computational Science and Engineering)

Name: Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls (Computational Science and Engineering)
Brand: Wiley
Price: 47.52 GBP
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Modelling

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Description

This concise text presents an introduction to the emerging area of reducing complex nonlinear differential equations or time-resolved data sets to spectral submanifolds (SSMs). SSMs are ubiquitous low-dimensional attracting invariant manifolds that can be constructed systematically, building on the spectral properties of the linear part of a nonlinear system. The internal dynamics within SSMs then serve as exact, low-dimensional models with which the full system evolution synchronizes exponentially fast. SSM-based model reduction has a solid mathematical foundation and hence is guaranteed to deliver accurate and predictive reduced-order models under a precise set of assumptions. This book illustrates the power of SSM reduction on a large collection of equation- and data-driven applications in fluid mechanics, solid mechanics, and control. Audience This book is intended for graduate students, postdocs, faculty, and industrial researchers working in model reduction for nonlinear physical systems arising in solid mechanics, fluid dynamics, and control theory. It is appropriate for courses on differential equations, modeling, dynamical systems, and data-driven modeling.

Product Specifications

Brand: Wiley
Format: hardcover
ASIN: 1611978343
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Modelling
Domain: Amazon UK
Release Date: 30 June 2025
Listed Since: 03 June 2025

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Wiley Modeling Nonlinear Dynamics from Equations and Data with Applications to Solids, Fluids, and Controls (Computational Science and Engineering)

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