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This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations and a brief chapter on partial differential equations. The book contains detailed illustrations, chapter summaries and a variety of exercises as well as some Matlab codes provided online as supplementary material. “I really like the focus on backward error analysis and condition. This is novel in a textbook and a practical approach that will bring welcome attention." Lawrence F. Shampine
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Subjects
Numerical analysis, Textbooks, Error analysis (Mathematics), Mathematics, Methodology, Study and teaching (Graduate), Counting & numeration, Computer science, Number systems, Mathematics & statistics -> mathematics -> mathematics general, Professional, career & trade -> computer science -> computer science, Scm1400x, Scm14026, Scm14050, Suco11649, 2973, 4149, 3640, Computational Mathematics and Numerical Analysis, Computational Science and EngineeringEdition | Availability |
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1
A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
Sep 20, 2016, Springer
paperback
1493953109 9781493953103
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Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
2013, Springer New York
in English
1461484537 9781461484530
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3
A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
Dec 07, 2013, Springer
paperback
1461484545 9781461484547
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4
A Graduate Introduction to Numerical Methods
2013, Springer-Verlag New York Inc.
1461484529 9781461484523
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Book Details
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Source title: A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
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- Created May 15, 2020
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February 27, 2022 | Edited by ImportBot | import existing book |
May 15, 2020 | Created by ImportBot | Imported from amazon.com record |