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Mathematics - Computational Science & Engineering | Reduced Order Methods for Modeling and Computational Reduction

Reduced Order Methods for Modeling and Computational Reduction

Series: MS&A, Vol. 9

Quarteroni, Alfio, Rozza, Gianluigi (Eds.)

2014, X, 334 p.

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  • A complete review on the state of the art of model order reduction advances and developments
  • A gallery of application examples on reduced order modeling in computational science and engineering
  • It covers several topics and techniques by leading experts
This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. 

Several topics are covered, including: design, optimization, and control theory in real-time with applications in engineering; data assimilation, geometry registration, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics; real-time visualization of physics-based simulations in computer science; the treatment of high-dimensional problems in state space, physical space, or parameter space; the interactions between different model reduction and dimensionality reduction approaches; the development of general error estimation frameworks which take into account both model and discretization effects.

This book is primarily addressed to computational scientists interested in computational reduction techniques for large scale differential problems.

Content Level » Professional/practitioner

Keywords » computational mechanics - model order reduction - parametrized PDE - reduced order modeling - scientific computing

Related subjects » Computational Intelligence and Complexity - Computational Science & Engineering - Mathematics - Mechanics - Theoretical, Mathematical & Computational Physics - Theoretical Computer Science

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