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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
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Practical Asymptotics (Hardcover, Reprinted from JOURNAL OF ENGINEERING MATHEMATICS, 39:1-4, 2001)
Loot Price: R3,305
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Practical Asymptotics (Hardcover, Reprinted from JOURNAL OF ENGINEERING MATHEMATICS, 39:1-4, 2001)
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Practical Asymptotics is an effective tool for reducing the
complexity of large-scale applied-mathematical models arising in
engineering, physics, chemistry, and industry, without compromising
their accuracy. It exploits the full potential of the dimensionless
representation of these models by considering the special nature of
the characteristic dimensionless quantities. It can be argued that
these dimensionless quantities mostly assume extreme values,
particularly for practical parameter settings. Thus, otherwise
complicated models can be rendered far less complex and the
numerical effort to solve them is greatly reduced. In this book the
effectiveness of Practical Asymptotics is demonstrated by fifteen
papers devoted to widely differing fields of applied science, such
as glass-bottle production, semiconductors, surface-tension-driven
flows, microwaving joining, heat generation in foodstuff
production, chemical-clock reactions, low-Mach-number flows, to
name a few. A strong plea is made for making asymptotics teaching
an integral part of any numerics curriculum. Not only will
asymptotics reduce the computational effort, it also provides a
fuller understanding of the underlying problems.
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