A Graduate Introduction to Numerical Methods: From the by Robert Corless,Nicolas Fillion

By Robert Corless,Nicolas Fillion

This ebook presents an intensive advent to numerical computing from the point of view of backward errors research. The meant viewers contains scholars and researchers in technological know-how, engineering and arithmetic. The procedure taken is slightly casual because of the big variety of backgrounds of the readers, however the important principles of backward blunders and sensitivity (conditioning) are systematically emphasised. The ebook is split into 4 components: half I presents the heritage preliminaries together with floating-point mathematics, polynomials and machine overview of capabilities; half II covers numerical linear algebra; half III covers interpolation, the FFT and quadrature; and half IV covers numerical suggestions of differential equations together with initial-value difficulties, boundary-value difficulties, hold up differential equations and a short bankruptcy on partial differential equations.

The publication comprises targeted illustrations, bankruptcy summaries and a number of routines in addition a few Matlab codes supplied on-line as supplementary material.

“I rather just like the specialize in backward errors research and situation. this can be novel in a textbook and a pragmatic method that may deliver welcome attention." Lawrence F. Shampine

A Graduate advent to Numerical equipment and Backward blunders research” has been chosen via Computing stories as a striking booklet in computing in 2013.  Computing reports better of 2013 checklist contains booklet and article nominations from reviewers, CR class editors, the editors-in-chief of journals, and others within the computing community.

 

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