Error Analysis in Numerical Processes (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) 1st Edition by Solomon G. Mikhlin | (PDF) Free Download

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.

User’s Reviews

Editorial Reviews: From the Publisher 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.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The book contains error bounds for almost all classical numerical methods used in approximation of linear and nonlinear equations. I use it in my research quite often.

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Error Analysis in Numerical Processes (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) 1st Edition 1991 PDF Free Download
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