### Abstract

Original language | English |
---|---|

Pages (from-to) | 563-565 |

Number of pages | 2 |

Journal | SIAM Review |

Volume | 43 |

Issue number | 3 |

Publication status | Published - 2001 |

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### Keywords

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

### Cite this

*SIAM Review*,

*43*(3), 563-565.

}

*SIAM Review*, vol. 43, no. 3, pp. 563-565.

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Book review of robust computational techniques for boundary layers

AU - Mackenzie, John A.

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

KW - robust numerical solution

KW - convectionreaction-diffusion problems

KW - computational mathematics

UR - http://epubs.siam.org/SIREV/volume-43/art_97075.html

M3 - Article

VL - 43

SP - 563

EP - 565

JO - SIAM Review

JF - SIAM Review

SN - 0036-1445

IS - 3

ER -