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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.