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Books > Science & Mathematics > Science: general issues > Scientific standards
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Multiscale Methods - Bridging the Scales in Science and Engineering (Hardcover)
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Multiscale Methods - Bridging the Scales in Science and Engineering (Hardcover)
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Small scale features and processes occurring at nanometer and
femtosecond scales have a profound impact on what happens at a
larger scale and over an extensive period of time. The primary
objective of this volume is to reflect the state-of-the-art in
multiscale mathematics, modeling, and simulations and to address
the following barriers: What is the information that needs to be
transferred from one model or scale to another and what physical
principles must be satisfied during the transfer of information?
What are the optimal ways to achieve such transfer of information?
How can variability of physical parameters at multiple scales be
quantified and how can it be accounted for to ensure design
robustness? The multiscale approaches in space and time presented
in this volume are grouped into two main categories:
information-passing and concurrent. In the concurrent approaches
various scales are simultaneously resolved, whereas in the
information-passing methods the fine scale is modeled and its gross
response is infused into the continuum scale. The issue of
reliability of multiscale modeling and simulation tools which focus
on a hierarchy of multiscale models and an a posteriori model of
error estimation including uncertainty quantification, is discussed
in several chapters. Component software that can be effectively
combined to address a wide range of multiscale simulations is also
described. Applications range from advanced materials to
nanoelectromechanical systems (NEMS), biological systems, and
nanoporous catalysts where physical phenomena operates across 12
orders of magnitude in time scales and 10 orders of magnitude in
spatial scales. This volume is a valuable reference book for
scientists, engineers and graduate students practicing in
traditional engineering and science disciplines as well as in
emerging fields of nanotechnology, biotechnology, microelectronics
and energy.
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