Image:AbsoluteErrorNumericalDifferentiationExample.png
From Wikipedia, the free encyclopedia
Size of this preview: 800 × 472 pixels
Full resolution (1,548 × 914 pixels, file size: 164 KB, MIME type: image/png)
| This is a file from the Wikimedia Commons. The description on its description page there is shown below.
|
[edit] Summary
| Description |
English: The absolute error in numerical differentiation
Català: Exemple de l'error comés en derivació numèrica degut al arrodoniment i a la aproximació
|
|---|---|
| Source |
Self-made using TikZ, Beamer and LaTeX |
| Date |
17:44, 19 January 2007 |
| Author |
Berland |
| Permission (Reusing this image) |
see below |
[edit] Details
I made this using the graphics programming language TikZ, Beamer and LaTeX
The plot displays the absolute error when computing the derivative of f(x) = x3 (f'(x) = 3x2) using a forward difference (of first order) and a centered difference (of second order),
for various values of x. The centered difference is for x = 0.1 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.
[edit] Licensing:
 |
I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | Norsk (bokmål) | Norsk (nynorsk) | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | 中文(简体) | 中文(繁體) | zh-yue-hant | +/- |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 10:13, 17 May 2008 | 1,548×914 (164 KB) | JRGomà | ({{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) |
