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Book review of robust computational techniques for boundary layers

Mackenzie, John A. (2001) Book review of robust computational techniques for boundary layers. SIAM Review, 43 (3). pp. 563-565. ISSN 0036-1445

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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.

Item type: Article
ID code: 1996
Keywords: robust numerical solution, convectionreaction-diffusion problems, computational mathematics, Mathematics, Computational Mathematics, Theoretical Computer Science, Applied Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 07 Apr 2007
    Last modified: 04 Sep 2014 10:24
    URI: http://strathprints.strath.ac.uk/id/eprint/1996

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