Overview

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.

Full Product Details

Author:   H.K. Kuiken
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 2001
Dimensions:   Width: 21.00cm , Height: 2.10cm , Length: 27.90cm
Weight:   0.972kg
ISBN:  

9789401038270

ISBN 10:   9401038279
Pages:   385
Publication Date:   26 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Practical asymptotics.- Shear flow over a particulate or fibrous plate.- Current-voltage characteristics from an asymptotic analysis of the MOSFET equations.- Separating shear flow past a surface-mounted blunt obstacle.- Microwave joining of two long hollow tubes: an asymptotic theory and numerical simulations.- Fast computation of limit cycles in an industrial application.- Asymptotic analysis of the steady-state and time-dependent Berman problem.- Generation of water waves and bores by impulsive bottom flux.- On the asymptotic analysis of surface-stress-driven thin-layer flow.- Matched asymptotic expansions and the numerical treatment of viscous-inviscid interaction.- Stokes flow around an asymmetric channel divider; a computational approach using matlab.- The frozen-field approximation and the Ginzburg-Landau equations of superconductivity.- Analytical approximations to the viscous glass-flow problem in the mould-plunger pressing process, including an investigation of boundary conditions.- Asymptotic adaptive methods for multi-scale problems in fluid mechanics.- Asymptotic analysis of the flow of shear-thinning foodstuffs in annular scraped heat exchangers.- The evolution of travelling waves from chemical-clock reactions.

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