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Practical Asymptotics - H. K. Kuiken

Practical Asymptotics

By: H. K. Kuiken (Editor)

Hardcover Published: 30th April 2001
ISBN: 9780792369202
Number Of Pages: 385

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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.

Practical asymptoticsp. 1
Shear flow over a particulate or fibrous platep. 3
Current-voltage characteristics from an asymptotic analysis of the MOSFET equationsp. 25
Separating shear flow past a surface-mounted blunt obstaclep. 47
Microwave joining of two long hollow tubes: an asymptotic theory and numerical simulationsp. 63
Fast computation of limit cycles in an industrial applicationp. 79
Asymptotic analysis of the steady-state and time-dependent Berman problemp. 87
Generation of water waves and bores by impulsive bottom fluxp. 131
On the asymptotic analysis of surface-stress-driven thin-layer flowp. 171
Matched asymptotic expansions and the numerical treatment of viscous-inviscid interactionp. 189
Stokes flow around an asymmetric channel divider; a computational approach using matlabp. 207
The frozen-field approximation and the Ginzburg-Landau equations of superconductivityp. 221
Analytical approximations to the viscous glass-flow problem in the mould-plunger pressing process, including an investigation of boundary conditionsp. 241
Asymptotic adaptive methods for multi-scale problems in fluid mechanicsp. 261
Asymptotic analysis of the flow of shear-thinning foodstuffs in annular scraped heat exchangersp. 345
The evolution of travelling waves from chemical-clock reactionsp. 367
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792369202
ISBN-10: 0792369203
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 385
Published: 30th April 2001
Country of Publication: NL
Dimensions (cm): 25.4 x 17.78  x 2.24
Weight (kg): 0.9
Edition Number: 1