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

By Robert Corless,Nicolas Fillion

This e-book offers 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 little bit casual as a result of the big variety of backgrounds of the readers, however the primary rules of backward errors and sensitivity (conditioning) are systematically emphasised. The e-book is split into 4 elements: half I presents the history preliminaries together with floating-point mathematics, polynomials and machine evaluate of features; half II covers numerical linear algebra; half III covers interpolation, the FFT and quadrature; and half IV covers numerical recommendations 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 includes special illustrations, bankruptcy summaries and a number of routines in addition a few Matlab codes supplied on-line as supplementary material.

“I particularly just like the specialise in backward mistakes research and situation. this can be novel in a textbook and a realistic process that might convey welcome attention." Lawrence F. Shampine

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

 

Show description

Read or Download A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis PDF

Best number systems books

Stochastic Modelling in Physical Oceanography (Progress in Probability)

The learn of the sea is nearly as previous because the heritage of mankind itself. whilst the 1st seafarers set out of their primitive ships they'd to appreciate, as top they can, tides and currents, eddies and vortices, for lack of information frequently ended in lack of dwell. those primitive oceanographers have been, in fact, essentially statisticians.

Derivative Securities and Difference Methods (Springer Finance)

This booklet is especially dedicated to finite distinction numerical equipment for fixing partial differential equations (PDEs) types of pricing a wide selection of economic by-product securities. With this target, the ebook is split into major elements. within the first half, after an creation in regards to the fundamentals on spinoff securities, the authors clarify the best way to determine the enough PDE boundary price difficulties for various units of spinoff items (vanilla and unique recommendations, and rate of interest derivatives).

Multivariate Statistics:: Exercises and Solutions

The authors have cleverly used workouts and their ideas to discover the suggestions of multivariate information research. damaged down into 3 sections, this e-book has been established to permit scholars in economics and finance to paintings their means via a good formulated exploration of this middle subject. the 1st a part of this ebook is dedicated to graphical recommendations.

Geometric Properties of Banach Spaces and Nonlinear Iterations (Lecture Notes in Mathematics)

The contents of this monograph fall in the normal zone of nonlinear useful research and functions. We specialise in an enormous subject inside of this sector: geometric houses of Banach areas and nonlinear iterations, a subject matter of in depth examine e? orts, particularly in the prior 30 years, or so.

Extra info for A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis

Example text

Download PDF sample

Rated 4.87 of 5 – based on 9 votes