Error Analysis in Numerical Processes (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

By Solomon G. Mikhlin

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.

• Format: Hardcover
• Language: English
• ISBN: 0471921335
• ISBN13: 9780471921332
• Release Date: September 1991
• Publisher: Wiley
• Length: 286 Pages
• Weight: 1.26 lbs.
• Dimensions: 9.3" x 0.8" x 6.4"