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Practical Asymptotics

  • Book
  • © 2001

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Editors:
  1. H. K. Kuiken

    1. Eindhoven University of Technology, Eindhoven, The Netherlands

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-v
    Download chapter PDF

  2. Practical asymptotics

    • H. K. Kuiken
    Pages 1-2

  3. Shear flow over a particulate or fibrous plate

    • C. Pozrikidis
    Pages 3-24

  4. Current-voltage characteristics from an asymptotic analysis of the MOSFET equations

    • Ellis Cumberbatch, Henok Abebe, Hedley Morris
    Pages 25-46

  5. Separating shear flow past a surface-mounted blunt obstacle

    • S. Bhattacharyya, S. C. R. Dennis, F. T. Smith
    Pages 47-62

  6. Microwave joining of two long hollow tubes: an asymptotic theory and numerical simulations

    • Gregory A. Kriegsmann, Jonathan H. C. Luke
    Pages 63-78

  7. Fast computation of limit cycles in an industrial application

    • Shay Gueron, Nadav Liron
    Pages 79-86

  8. Asymptotic analysis of the steady-state and time-dependent Berman problem

    • J. R. King, S. M. Cox
    Pages 87-130

  9. Generation of water waves and bores by impulsive bottom flux

    • M. Landrini, P. A. Tyvand
    Pages 131-170

  10. On the asymptotic analysis of surface-stress-driven thin-layer flow

    • Leonard W. Schwartz
    Pages 171-188

  11. Matched asymptotic expansions and the numerical treatment of viscous-inviscid interaction

    • A. E. P. Veldman
    Pages 189-206

  12. Stokes flow around an asymmetric channel divider; a computational approach using Matlab

    • Anthony M. J. Davis, Joseph D. Fehribach
    Pages 207-220

  13. The frozen-field approximation and the Ginzburg-Landau equations of superconductivity

    • Henrik Nordborg, Hans G. Kaper
    Pages 221-240

  14. Analytical approximations to the viscous glass-flow problem in the mould-plunger pressing process, including an investigation of boundary conditions

    • S. W. Rienstra, T. D. Chandra
    Pages 241-259

  15. Asymptotic adaptive methods for multi-scale problems in fluid mechanics

    • R. Klein, N. Botta, T. Schneider, C. D. Munz, S. Roller, A. Meister et al.
    Pages 261-343

  16. Asymptotic analysis of the flow of shear-thinning foodstuffs in annular scraped heat exchangers

    • A. D. Fitt, C. P. Please
    Pages 345-366

  17. The evolution of travelling waves from chemical-clock reactions

    • S. J. Preece, J. Billingham, A. C. King
    Pages 367-385
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Keywords

About this book

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.

Editors and Affiliations

  • Eindhoven University of Technology, Eindhoven, The Netherlands

    H. K. Kuiken

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