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Practical Asymptotics

  • H. K. Kuiken

Table of contents

  1. Front Matter
    Pages i-v
  2. H. K. Kuiken
    Pages 1-2
  3. Ellis Cumberbatch, Henok Abebe, Hedley Morris
    Pages 25-46
  4. S. Bhattacharyya, S. C. R. Dennis, F. T. Smith
    Pages 47-62
  5. M. Landrini, P. A. Tyvand
    Pages 131-170
  6. R. Klein, N. Botta, T. Schneider, C. D. Munz, S. Roller, A. Meister et al.
    Pages 261-343
  7. S. J. Preece, J. Billingham, A. C. King
    Pages 367-385

About this book

Introduction

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.

Keywords

Mathematica Potential complexity fluid mechanics mechanics numerics simulation

Editors and affiliations

  • H. K. Kuiken
    • 1
  1. 1.Eindhoven University of TechnologyEindhovenThe Netherlands

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