Numerical stability

Numerical stability - property of a numerical algorithm which describes how errors and approximations in the input data or intermediate values propagate through the algorithm without diverging its results. Article "Numerical stability" in English Wikipedia has 21.3 points for quality (as of July 1, 2025). The article contains 4 references and 6 sections. The article also contains quality flaw template, which reduce quality score.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Numerical stability", its content was written by 74 registered users of English Wikipedia and edited by 278 registered Wikipedia users in all languages.

The article is cited 269 times in English Wikipedia and cited 985 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #5122 in May 2003
• Global: #10652 in May 2003

The highest popularity rank from 2008:

• Local (English): #107480 in October 2014
• Global: #136061 in October 2014

There are 20 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Numerical stability		21.3358
2	Catalan (ca) Estabilitat numèrica		16.7169
3	Chinese (zh) 数值稳定性		15.1877
4	Greek (el) Αριθμητική ευστάθεια αλγορίθμων		12.9464
5	Ukrainian (uk) Числова стійкість		10.8112
6	Russian (ru) Вычислительная устойчивость		10.6393
7	German (de) Stabilität (Numerik)		9.9151
8	Esperanto (eo) Cifereca stabileco		9.1289
9	Arabic (ar) استقرار عددي		7.7013
10	French (fr) Stabilité numérique		6.4

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Numerical stability" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Numerical stability		838 864
2	German (de) Stabilität (Numerik)		230 127
3	Spanish (es) Estabilidad numérica		80 834
4	Russian (ru) Вычислительная устойчивость		75 777
5	Chinese (zh) 数值稳定性		64 045
6	French (fr) Stabilité numérique		51 298
7	Japanese (ja) 数値的安定性		49 122
8	Polish (pl) Algorytm numerycznie stabilny		48 861
9	Italian (it) Stabilità numerica		45 870
10	Arabic (ar) استقرار عددي		16 270

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Numerical stability" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Numerical stability		2 719
2	German (de) Stabilität (Numerik)		282
3	Russian (ru) Вычислительная устойчивость		202
4	French (fr) Stabilité numérique		182
5	Chinese (zh) 数值稳定性		122
6	Japanese (ja) 数値的安定性		112
7	Spanish (es) Estabilidad numérica		97
8	Italian (it) Stabilità numerica		93
9	Polish (pl) Algorytm numerycznie stabilny		59
10	Arabic (ar) استقرار عددي		44

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The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Numerical stability" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Numerical stability		74
2	German (de) Stabilität (Numerik)		46
3	French (fr) Stabilité numérique		29
4	Italian (it) Stabilità numerica		20
5	Russian (ru) Вычислительная устойчивость		18
6	Arabic (ar) استقرار عددي		12
7	Spanish (es) Estabilidad numérica		12
8	Polish (pl) Algorytm numerycznie stabilny		11
9	Hebrew (he) יציבות נומרית		10
10	Chinese (zh) 数值稳定性		8

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The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Numerical stability" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) استقرار عددي		0
2	Catalan (ca) Estabilitat numèrica		0
3	Czech (cs) Stabilita numerické metody		0
4	German (de) Stabilität (Numerik)		0
5	Greek (el) Αριθμητική ευστάθεια αλγορίθμων		0
6	English (en) Numerical stability		0
7	Esperanto (eo) Cifereca stabileco		0
8	Spanish (es) Estabilidad numérica		0
9	Persian (fa) پایداری عددی		0
10	French (fr) Stabilité numérique		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Numerical stability" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Numerical stability		269
2	Japanese (ja) 数値的安定性		147
3	Chinese (zh) 数值稳定性		73
4	German (de) Stabilität (Numerik)		72
5	Ukrainian (uk) Числова стійкість		61
6	Portuguese (pt) Estabilidade numérica		59
7	French (fr) Stabilité numérique		35
8	Russian (ru) Вычислительная устойчивость		35
9	Italian (it) Stabilità numerica		31
10	Slovak (sk) Stabilita numerickej metódy		31

More...

#	Language	Value
ar	Arabic استقرار عددي
ca	Catalan Estabilitat numèrica
cs	Czech Stabilita numerické metody
de	German Stabilität (Numerik)
el	Greek Αριθμητική ευστάθεια αλγορίθμων
en	English Numerical stability
eo	Esperanto Cifereca stabileco
es	Spanish Estabilidad numérica
fa	Persian پایداری عددی
fr	French Stabilité numérique
he	Hebrew יציבות נומרית
it	Italian Stabilità numerica
ja	Japanese 数値的安定性
pl	Polish Algorytm numerycznie stabilny
pt	Portuguese Estabilidade numérica
ru	Russian Вычислительная устойчивость
sk	Slovak Stabilita numerickej metódy
uk	Ukrainian Числова стійкість
ur	Urdu عددی ثبات
zh	Chinese 数值稳定性

Best Rank

English: #107480 10.2014

Global: #136061 10.2014

Best Rank

English: #5122 05.2003

Global: #10652 05.2003

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information