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Error Analysis in Numerical Processes

✍ Scribed by Mikhlin, Solomon Grigor'evich

Publisher
Wiley
Year
1991
Tongue
English
Leaves
284
Series
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Edition
1
Category
Library
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✦ Synopsis

Extends the traditional classification of errors so that the error of the method (truncation error) and the numerical error are subdivided into four classes: the approximation, the perturbation, the algorithm and the rounding error. This new subdivision of errors results in error estimates for a number of linear and nonlinear problems in numerical analysis. Obtained here are new results--errors in the conjugate direction method--as well as known results, such as errors in Gaussian elimination. Also presented are a posteriori error estimates, such as those derived for, and often by means of, the computed approximate solution

✦ Subjects

Error analysis (Mathematics);Calcul d'erreur;matematika -- numerična analiza

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