English: The absolute error in numerical differentiation
Català: Exemple de l'error comés en derivació numèrica degut al arrodoniment i a la aproximació
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Self-made using TikZ, Beamer and LaTeX
Author
Berland
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Details
I made this using the graphics programming language TikZ, Beamer and LaTeX
The plot displays the absolute error when computing the derivative of () using a forward difference (of first order) and a centered difference (of second order),
for various values of . The centered difference is for only.
The noisy negative slope is due to finite precision (64-bit IEEE754) in the computer used, and the positive slope is due to the formula error of the differentiation formula.
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{{Information |Description=Exemple de l'error comés en derivació numèrica degut al arrodoniment i a la aproximació |Source=http://en.wikipedia.org/wiki/Image:AbsoluteErrorNumericalDifferentiationExample.png |Date=17:44, 19 January 2007 |Author=Berland