Fitted numerical methods for singular perturbation problems : error estimates in the maximum norm for linear problems in one and two dimensions /
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Author / Creator: | Miller, J. J. H. (John James Henry), 1937- |
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Edition: | Rev. ed. |
Imprint: | Singapore ; Hackensack, N.J. : World Scientific, ©2012. |
Description: | 1 online resource : illustrations |
Language: | English |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11132820 |
Other authors / contributors: | O'Riordan, E. (Eugene) Shishkin, G. I. |
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ISBN: | 9789814390743 9814390747 9810224621 9789810224622 9814390739 9789814390736 |
Digital file characteristics: | data file |
Notes: | Includes bibliographical references and index. Print version record. |
Summary: | Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods. |
Other form: | Print version: Miller, J.J.H. (John James Henry), 1937- Fitted numerical methods for singular perturbation problems. Rev. ed. Singapore ; River Edge, NJ : World Scientific, 2012 9789814390736 |
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