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.
General
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