Table of contents

  1. Front Matter
    Pages i-x
  2. Wil H. A. Schilders, Agnieszka Lutowska
    Pages 1-49
  3. Antonio C. Ionita, Athanasios C. Antoulas
    Pages 51-66
  4. Mario Bebendorf, Yvon Maday, Benjamin Stamm
    Pages 67-100
  5. Karsten Urban, Stefan Volkwein, Oliver Zeeb
    Pages 137-157
  6. Toni Lassila, Andrea Manzoni, Alfio Quarteroni, Gianluigi Rozza
    Pages 235-273
  7. Leopold Grinberg, Mingge Deng, George Em Karniadakis, Alexander Yakhot
    Pages 275-303
  8. Michel Bergmann, Thierry Colin, Angelo Iollo, Damiano Lombardi, Olivier Saut, Haysam Telib
    Pages 305-332
  9. Back Matter
    Pages 333-334

About this book


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.


computational mechanics model order reduction parametrized PDE reduced order modeling scientific computing

Editors and affiliations

  • Alfio Quarteroni
    • 1
    • 2
  • Gianluigi Rozza
    • 3
  1. 1.CMCS-MATHICSEEcole Polytechnique Fédérale de LausanneLausanneSwitzerland
  2. 2.MOX, Department of Mathematics “F. Brioschi”Politecnico di MilanoMilanItaly
  3. 3.SISSA mathLabInternational School for Advanced StudiesTriesteItaly

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