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The idea for this book originated during the workshop “Model order reduction,
coupled problems and optimization” held at the Lorentz Center in Leiden from Sep-
tember 19–23, 2005. During one of the discussion sessions, it became clear that a
book describing the state of the art in model order reduction, starting from the very
basics and containing an overview of all relevant techniques, would be of great use
for students, young researchers starting in the field, and experienced researchers. The
observation that most of the theory on model order reduction is scattered over many
good papers, making it difficult to find a good starting point, was supported by most
of the participants. Moreover, most of the speakers at the workshop were willing to
contribute to the book that is now in front of you.
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