Convection-Diffusion Problems (Hardcover)

Language: English

Published by American Mathematical Society, Providence, 2018

1470448688 / 9781470448684

Series: Book 157 of 190 - Graduate Studies in Mathematics

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Hardcover. Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this class of problems. At first they examine finite-difference methods for two-point boundary value problems, as their analysis requires little theoretical background. Upwinding, artificial diffusion, uniformly convergent methods, and Shishkin meshes are some of the topics presented. Throughout, the authors are concerned with the accuracy of solutions when the diffusion coefficient is close to zero. Later in the book they concentrate on finite element methods for problems posed in one and two dimensions.This lucid yet thorough account of convection-dominated convection-diffusion problems and how to solve them numerically is meant for beginning graduate students, and it includes a large number of exercises. An up-to-date bibliography provides the reader with further reading. This book is published in cooperation with Atlantic Association for Research in the Mathematical Sciences. Provides a lucid yet thorough account of convection-dominated convection-diffusion problems and how to solve them numerically for beginning graduate students. The book includes a large number of exercises. An up-to-date bibliography provides the reader with further reading. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Seller Inventory # 9781470448684

Title
Convection-Diffusion Problems (Hardcover)
Author
Martin Stynes
Publisher
American Mathematical Society, Providence
Publication year
2018
Condition
new
Binding
Hardcover
Language
English
ISBN 10
1470448688
ISBN 13
9781470448684
Series
Book 157 of 190: Graduate Studies in Mathematics

AussieBookSeller

Truganina, VIC, Australia

5-star seller

AbeBooks seller since June 22, 2007

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