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A graduate introduction to numerical methods : from the viewpoint of backward error analysis / Robert M. Corless, Nicolas Fillion.

By: Contributor(s): Material type: TextTextPublication details: New York : Springer Science + Business Media, c.2013.Description: xxxix, 869 p. : ill. ; 27 cmISBN:
  • 9781461484523 (hbk.)
  • 1461484529 (hbk.)
Subject(s): Genre/Form: Additional physical formats: Online version:: Graduate introduction to numerical methods.DDC classification:
  • 518 COR 22
Summary: 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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Item type Current library Collection Call number Status Date due Barcode Item holds
NB - Book (Non borrowing) NB - Book (Non borrowing) Central Library First floor Baccah 518 COR (Browse shelf(Opens below)) Not for loan 000043146
Book - Borrowing Book - Borrowing Central Library First floor Baccah 518 COR (Browse shelf(Opens below)) Available 000043147
Book - Borrowing Book - Borrowing Central Library First floor Baccah 518 COR (Browse shelf(Opens below)) Available 000043148
Book - Borrowing Book - Borrowing Central Library First floor Baccah 518 COR (Browse shelf(Opens below)) Available 000043149
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Includes bibliographical references and index.

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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