By Robert Corless,Nicolas Fillion
This ebook offers an in depth advent to numerical computing from the perspective of backward errors research. The meant viewers contains scholars and researchers in technological know-how, engineering and arithmetic. The process taken is a little casual because of the wide range of backgrounds of the readers, however the significant rules of backward mistakes and sensitivity (conditioning) are systematically emphasised. The booklet is split into 4 elements: half I offers the heritage preliminaries together with floating-point mathematics, polynomials and computing device review of features; half II covers numerical linear algebra; half III covers interpolation, the FFT and quadrature; and half IV covers numerical options 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 various workouts besides a few Matlab codes supplied on-line as supplementary material.
“I rather just like the concentrate on backward errors research and situation. this is often novel in a textbook and a pragmatic strategy that would convey welcome attention." Lawrence F. Shampine
A Graduate advent to Numerical tools and Backward errors research” has been chosen by way of Computing experiences as a remarkable publication in computing in 2013. Computing experiences better of 2013 record contains publication and article nominations from reviewers, CR class editors, the editors-in-chief of journals, and others within the computing community.
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Extra info for A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis by Robert Corless,Nicolas Fillion