Book review of robust computational techniques for boundary layers

Research output: Contribution to journalArticle

Abstract

This book is mainly concerned with the robust numerical solution of convectionreaction-diffusion problems of the form e u + a . ?u + bu = f. In particular, the emphasis is on singularly perturbed problems where the coefficient of diffusion e is much smaller than |a| or |b|. Such problems arise in many areas of science and engineering, and they are well known to be difficult to solve numerically due to the presence of boundary layers that are very thin compared to the size of the domain. The aim of the book is to show that the combination of an appropriately chosen piecewise uniform mesh and a monotone numerical discretization can be used to effectively solve a wide range of singularly perturbed boundary value problems.robust numerical solution of convectionreaction-diffusion problems of the form e u + a . ?u + bu = f. In particular, the emphasis is on singularly perturbed problems where the coefficient of diffusion e is much smaller than |a| or |b|. Such problems arise in many areas of science and engineering, and they are well known to be difficult to solve numerically due to the presence of boundary layers that are very thin compared to the size of the domain.
LanguageEnglish
Pages563-565
Number of pages2
JournalSIAM Review
Volume43
Issue number3
Publication statusPublished - 2001

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Computational Techniques
Boundary Layer
Boundary layers
Singularly Perturbed Problem
Diffusion Problem
Numerical Solution
Piecewise-uniform Mesh
Engineering
Singularly Perturbed Boundary Value Problem
Coefficient
Monotone
Discretization
Boundary value problems
Range of data
Review
Form

Keywords

  • robust numerical solution
  • convectionreaction-diffusion problems
  • computational mathematics

Cite this

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Book review of robust computational techniques for boundary layers. / Mackenzie, John A.

In: SIAM Review, Vol. 43, No. 3, 2001, p. 563-565.

Research output: Contribution to journalArticle

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