A Graduate Introduction to Numerical Methods

From the Viewpoint of Backward Error Analysis

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Last edited by ImportBot
February 27, 2022 | History

A Graduate Introduction to Numerical Methods

From the Viewpoint of Backward Error Analysis

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

Publish Date
Publisher
Springer
Pages
908

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Edition Availability
Cover of: A Graduate Introduction to Numerical Methods
Cover of: Graduate Introduction to Numerical Methods
Cover of: A Graduate Introduction to Numerical Methods
Cover of: A Graduate Introduction to Numerical Methods
A Graduate Introduction to Numerical Methods
2013, Springer-Verlag New York Inc.

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Book Details


Edition Notes

Source title: A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis

Classifications

Library of Congress
QA71-90

The Physical Object

Format
paperback
Number of pages
908

ID Numbers

Open Library
OL28047738M
ISBN 10
1493953109
ISBN 13
9781493953103

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
February 27, 2022 Edited by ImportBot import existing book
May 15, 2020 Created by ImportBot Imported from amazon.com record