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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Bibliographic Details
Author / Creator:Miller, J. J. H. (John James Henry), 1937-
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
Hidden Bibliographic Details
Other authors / contributors:O'Riordan, E. (Eugene)
Shishkin, G. I.
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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