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Title:
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Mathematical and Computational Aspects of Multi-scale and Multi-physics

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Organizers:
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Dongbin Xiu
Purdue University
dxiu@math.purdue.edu

Hirohisa Noguchi
Keio University
noguchi@sd.keio.ac.jp

J. S. Chen
University of California, Los Angeles
jschen@seas.ucla.edu

Tom Hou
California Institute of Technology
hou@acm.caltech.edu

Nasr Ghoniem
University of California, Los Angeles
ghoniem@seas.ucla.edu 

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Minisymposium description:
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The explosive growth in computational power and algorithm development has set the stage
for addressing more ambitious goals beyond understanding of conventional single
physics/single-scale phenomena. Such problems have many different and strongly coupled
scales, and often, different scales involve different physical laws. These multi scale
and multi-physics problems pose a major challenge to scientific computing as complete
resolutions of all the scales/physics are prohibitively expensive, if not impossible.

The minisymposium is dedicated to the fundamental aspects of multi-scale and
multi-physics modeling. We will explore the latest approaches to developing reliable
mathematical models and efficient numerical algorithms to bridge the multiple scales and
physical representations. Some of the issues that will be discussed include, but are not
limited to:

(1) hybrid methods, which capitalize on the decomposition of a system into disjoint
regions in which different levels of description are required;
(2) numerical analysis, which quantifies the accuracy and regions of validity of exsiting
mutli-scale methods;
(3) multiscale computational methods, such as multigrid, systematic upscaling, multiscale
homogenization, coupling with statistical methods, and adaptive methods in multiscale
modeling;
(4) innovative mesoscopic models, which naturally bridge the scales between microscpoic
and marcoscopic models; and
(5) applications to large-scale interdisciplinary problems