The 91st London Mathematical Society Durham Symposium took place
from July 5th to 15th 2010, with more than 100 international
participants attending. The Symposium focused on Numerical Analysis
of Multiscale Problems and this book contains 10 invited articles
from some of the meeting's key speakers, covering a range of topics
of contemporary interest in this area. Articles cover the analysis
of forward and inverse PDE problems in heterogeneous media,
high-frequency wave propagation, atomistic-continuum modeling and
high-dimensional problems arising in modeling uncertainty. Novel
upscaling and preconditioning techniques, as well as applications
to turbulent multi-phase flow, and to problems of current interest
in materials science are all addressed. As such this book presents
the current state-of-the-art in the numerical analysis of
multiscale problems and will be of interest to both practitioners
and mathematicians working in those fields.
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