By Robert Corless,Nicolas Fillion
This e-book offers an intensive advent to numerical computing from the point of view of backward mistakes research. The meant viewers contains scholars and researchers in technology, engineering and arithmetic. The procedure taken is slightly casual due to the big variety of backgrounds of the readers, however the critical rules of backward mistakes and sensitivity (conditioning) are systematically emphasised. The publication is split into 4 elements: half I presents the history preliminaries together with floating-point mathematics, polynomials and computing device review of capabilities; half II covers numerical linear algebra; half III covers interpolation, the FFT and quadrature; and half IV covers numerical ideas of differential equations together with initial-value difficulties, boundary-value difficulties, hold up differential equations and a quick bankruptcy on partial differential equations.
The ebook comprises distinct illustrations, bankruptcy summaries and numerous routines in addition a few Matlab codes supplied on-line as supplementary material.
“I quite just like the specialize in backward mistakes research and situation. this can be novel in a textbook and a pragmatic strategy that may deliver welcome attention." Lawrence F. Shampine
A Graduate creation to Numerical equipment and Backward mistakes research” has been chosen via Computing experiences as a striking booklet in computing in 2013. Computing studies better of 2013 checklist involves e-book and article nominations from reviewers, CR classification editors, the editors-in-chief of journals, and others within the computing community.
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Extra resources 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