Reduced Order Methods for Modeling and Computational Reduction

種類:

電子ブック

責任表示:

edited by Alfio Quarteroni, Gianluigi Rozza

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2014

著者名:

• Quarteroni, Alfio
• Rozza, Gianluigi
• SpringerLink (Online service)

シリーズ名:

MS&A - Modeling, Simulation and Applications ; 9

ISBN:

9783319020907 [3319020900]    

注記:

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

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