A Graduate Introduction to Numerical Methods

From the Viewpoint of Backward Error Analysis

Nonfiction, Science & Nature, Mathematics, Counting & Numeration, Computers, Advanced Computing, Computer Science
Cover of the book A Graduate Introduction to Numerical Methods by Robert M. Corless, Nicolas Fillion, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Robert M. Corless, Nicolas Fillion ISBN: 9781461484530
Publisher: Springer New York Publication: December 12, 2013
Imprint: Springer Language: English
Author: Robert M. Corless, Nicolas Fillion
ISBN: 9781461484530
Publisher: Springer New York
Publication: December 12, 2013
Imprint: Springer
Language: English

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.

** **

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

** **

More books from Springer New York

Cover of the book Coronal Mass Ejections by Robert M. Corless, Nicolas Fillion
Cover of the book Energy Detection for Spectrum Sensing in Cognitive Radio by Robert M. Corless, Nicolas Fillion
Cover of the book Global Supply Chain Security by Robert M. Corless, Nicolas Fillion
Cover of the book Nanodroplets by Robert M. Corless, Nicolas Fillion
Cover of the book Practical Tools for Designing and Weighting Survey Samples by Robert M. Corless, Nicolas Fillion
Cover of the book Rhinosinusitis by Robert M. Corless, Nicolas Fillion
Cover of the book Causes, Impacts and Solutions to Global Warming by Robert M. Corless, Nicolas Fillion
Cover of the book Parental Obesity: Intergenerational Programming and Consequences by Robert M. Corless, Nicolas Fillion
Cover of the book Dialysis in Older Adults by Robert M. Corless, Nicolas Fillion
Cover of the book Pediatric Rheumatology for the Practitioner by Robert M. Corless, Nicolas Fillion
Cover of the book Petrogenesis of Metamorphic Rocks by Robert M. Corless, Nicolas Fillion
Cover of the book Stem Cells and Cancer by Robert M. Corless, Nicolas Fillion
Cover of the book Future Professional Communication in Astronomy II by Robert M. Corless, Nicolas Fillion
Cover of the book MicroRNA in Development and in the Progression of Cancer by Robert M. Corless, Nicolas Fillion
Cover of the book Statistics for Lawyers by Robert M. Corless, Nicolas Fillion
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy