ENGLISH

Error Analysis in Numerical Processes

By Mikhlin , Solomon Grigor'evich

Book information

Publisher
Wiley
Year
1991
ISBN
0-471-92133-5, 9780471921332
Language
english
Format
DJVU
Filesize
2 MB (2370941 bytes)
Series
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Edition
1
Pages
286\284
Library
kolxoz
Time added
2017-10-15 16:00:00
Error analysis (Mathematics);Calcul d'erreur;matem

Description

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

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