A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis - Rilegato
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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 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
A Graduate Introduction to Numerical Methods and Backward Error Analysis” has been selected by Computing Reviews as a notable book in computing in 2013. Computing Reviews Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community.
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“A Graduate Introduction to Numerical Methods and Backward Error Analysis” has been selected as a notable book in computing in 2013. Computing Reviews’ Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community.
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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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A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
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A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
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New York: Springer Science+Business Media New York, 2013
ISBN 10: 1461484529
ISBN 13: 9781461484523
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A Graduate Introduction to Numerical Methods
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 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. ShampineA Graduate Introduction to Numerical Methods and Backward Error Analysis' has been selected by Computing Reviews as a notable book in computing in 2013. Computing Reviews Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community. 912 pp. Englisch. Codice articolo 9781461484523
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides consistent development of formulae using barycentric interpolationIndependence of chapters allowing for greater teaching flexibilityIntegration with Matlab and Maple, many algorithms presented in pseudocode A Graduate Intro. Codice articolo 4199683
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A Graduate Introduction to Numerical Methods | From the Viewpoint of Backward Error Analysis
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Buch. Condizione: Neu. A Graduate Introduction to Numerical Methods | From the Viewpoint of Backward Error Analysis | Robert M. Corless (u. a.) | Buch | xxxix | Englisch | 2013 | Springer | EAN 9781461484523 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 105718008
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A Graduate Introduction to Numerical Methods
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Springer, Springer Dez 2013, 2013
ISBN 10: 1461484529
ISBN 13: 9781461484523
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 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. ShampineA Graduate Introduction to Numerical Methods and Backward Error Analysis' has been selected by Computing Reviews as a notable book in computing in 2013. Computing Reviews Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 912 pp. Englisch. Codice articolo 9781461484523
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