File:AbsoluteErrorNumericalDifferentiationExample.png
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![File:AbsoluteErrorNumericalDifferentiationExample.png](../../upload.wikimedia.org/wikipedia/commons/thumb/4/41/AbsoluteErrorNumericalDifferentiationExample.png/800px-AbsoluteErrorNumericalDifferentiationExample.png)
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Summary[edit]
Description |
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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Date | 17:44, 19 January 2007 |
Source | Self-made using TikZ, Beamer and LaTeX |
Author | Berland |
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Details[edit]
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.
Licensing[edit]
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
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File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 10:13, 17 May 2008 | ![]() | 1,548 × 914 (164 KB) | JRGomà (talk | contribs) | {{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 |
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