Download e-book for kindle: A Graduate Introduction to Numerical Methods: From the by Robert Corless,Nicolas Fillion

By Robert Corless,Nicolas Fillion

This ebook presents an in depth advent to numerical computing from the perspective of backward errors research. The meant viewers contains scholars and researchers in technology, engineering and arithmetic. The technique taken is a bit of casual as a result of the big variety of backgrounds of the readers, however the imperative principles of backward blunders and sensitivity (conditioning) are systematically emphasised. The publication is split into 4 components: half I presents the historical past preliminaries together with floating-point mathematics, polynomials and desktop review of services; half II covers numerical linear algebra; half III covers interpolation, the FFT and quadrature; and half IV covers numerical strategies of differential equations together with initial-value difficulties, boundary-value difficulties, hold up differential equations and a short bankruptcy on partial differential equations.

The booklet includes certain illustrations, bankruptcy summaries and quite a few workouts to boot a few Matlab codes supplied on-line as supplementary material.

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

A Graduate creation to Numerical equipment and Backward errors research” has been chosen through Computing reports as a outstanding ebook in computing in 2013.  Computing experiences better of 2013 record contains e-book and article nominations from reviewers, CR type editors, the editors-in-chief of journals, and others within the computing community.

 

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A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis by Robert Corless,Nicolas Fillion


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