Runge–Kutta methods

en

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Runge–Kutta methods

Quality:

Runge–Kutta method - family of implicit and explicit iterative methods. Article "Runge–Kutta methods" in English Wikipedia has 60.2 points for quality (as of July 1, 2025). The article contains 47 references and 17 sections.

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

In June 2025 the article "Runge–Kutta methods" was edited by 1 authors in English Wikipedia and written by 7 authors in all languages.

Since the creation of article "Runge–Kutta methods", its content was written by 259 registered users of English Wikipedia and edited by 904 registered Wikipedia users in all languages.

The article is cited 252 times in English Wikipedia and cited 1077 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #8564 in April 2003
  • Global: #13209 in February 2004

The highest popularity rank from 2008:

  • Local (English): #15885 in April 2015
  • Global: #17392 in December 2014

There are 32 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Runge–Kutta methods
60.1576
2Vietnamese (vi)
Phương pháp Runge-Kutta
38.9043
3Bulgarian (bg)
Методи на Рунге-Кута
36.7008
4Japanese (ja)
ルンゲ=クッタ法
30.4694
5Hindi (hi)
रुंग-कुता विधियाँ
28.6316
6Russian (ru)
Метод Рунге — Кутты
25.5994
7Polish (pl)
Algorytm Rungego-Kutty
24.8942
8German (de)
Runge-Kutta-Verfahren
22.7571
9French (fr)
Méthodes de Runge-Kutta
21.7075
10Armenian (hy)
Ռունգե-Կուտտայի մեթոդ
21.3745
More...

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

Most popular in all the time

The most popular language versions of the article "Runge–Kutta methods" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Runge–Kutta methods
6 212 637
2Russian (ru)
Метод Рунге — Кутты
1 055 271
3German (de)
Runge-Kutta-Verfahren
859 583
4Spanish (es)
Método de Runge-Kutta
816 100
5Japanese (ja)
ルンゲ=クッタ法
747 253
6French (fr)
Méthodes de Runge-Kutta
577 976
7Chinese (zh)
龙格-库塔法
277 997
8Polish (pl)
Algorytm Rungego-Kutty
237 222
9Portuguese (pt)
Método de Runge-Kutta
218 562
10Italian (it)
Metodi di Runge-Kutta
185 419
More...

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

Most popular in June 2025

The most popular language versions of the article "Runge–Kutta methods" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Runge–Kutta methods
23 096
2Russian (ru)
Метод Рунге — Кутты
3 252
3Japanese (ja)
ルンゲ=クッタ法
2 471
4German (de)
Runge-Kutta-Verfahren
2 254
5French (fr)
Méthodes de Runge-Kutta
2 205
6Spanish (es)
Método de Runge-Kutta
1 947
7Chinese (zh)
龙格-库塔法
1 138
8Korean (ko)
룽게-쿠타 방법
885
9Polish (pl)
Algorytm Rungego-Kutty
776
10Italian (it)
Metodi di Runge-Kutta
519
More...

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

The highest AI

Language versions of the article "Runge–Kutta methods" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Runge–Kutta methods
259
2German (de)
Runge-Kutta-Verfahren
105
3Russian (ru)
Метод Рунге — Кутты
76
4French (fr)
Méthodes de Runge-Kutta
64
5Italian (it)
Metodi di Runge-Kutta
41
6Polish (pl)
Algorytm Rungego-Kutty
41
7Japanese (ja)
ルンゲ=クッタ法
34
8Spanish (es)
Método de Runge-Kutta
29
9Dutch (nl)
Runge-Kuttamethode
24
10Ukrainian (uk)
Метод Рунге — Кутти
22
More...

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

The highest AI in June 2025

Language versions of the article "Runge–Kutta methods" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Galician (gl)
Método Runge-Kutta
4
2English (en)
Runge–Kutta methods
1
3Hebrew (he)
שיטת רונגה-קוטה
1
4Japanese (ja)
ルンゲ=クッタ法
1
5Arabic (ar)
طريقة رونج-كوتا
0
6Bulgarian (bg)
Методи на Рунге-Кута
0
7Catalan (ca)
Mètodes de Runge-Kutta
0
8Czech (cs)
Rungeova–Kuttova metoda
0
9German (de)
Runge-Kutta-Verfahren
0
10Spanish (es)
Método de Runge-Kutta
0
More...

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

The highest CI

Language versions of the article "Runge–Kutta methods" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Runge–Kutta methods
252
2Chinese (zh)
龙格-库塔法
139
3French (fr)
Méthodes de Runge-Kutta
115
4Polish (pl)
Algorytm Rungego-Kutty
64
5Japanese (ja)
ルンゲ=クッタ法
62
6Portuguese (pt)
Método de Runge-Kutta
60
7Ukrainian (uk)
Метод Рунге — Кутти
60
8German (de)
Runge-Kutta-Verfahren
54
9Korean (ko)
룽게-쿠타 방법
34
10Catalan (ca)
Mètodes de Runge-Kutta
33
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
طريقة رونج-كوتا
bgBulgarian
Методи на Рунге-Кута
caCatalan
Mètodes de Runge-Kutta
csCzech
Rungeova–Kuttova metoda
deGerman
Runge-Kutta-Verfahren
enEnglish
Runge–Kutta methods
esSpanish
Método de Runge-Kutta
etEstonian
Runge-Kutta meetodid
euBasque
Runge-Kutta metodoa
faPersian
روش‌های رونگه‐کوتا
fiFinnish
Runge–Kutta-menetelmät
frFrench
Méthodes de Runge-Kutta
glGalician
Método Runge-Kutta
heHebrew
שיטת רונגה-קוטה
hiHindi
रुंग-कुता विधियाँ
huHungarian
Runge–Kutta-módszer
hyArmenian
Ռունգե-Կուտտայի մեթոդ
itItalian
Metodi di Runge-Kutta
jaJapanese
ルンゲ=クッタ法
koKorean
룽게-쿠타 방법
nlDutch
Runge-Kuttamethode
noNorwegian
Runge-Kutta-metoder
plPolish
Algorytm Rungego-Kutty
ptPortuguese
Método de Runge-Kutta
ruRussian
Метод Рунге — Кутты
srSerbian
Метода Рунге-Кута
svSwedish
Runge–Kuttametoden
trTurkish
Runge-Kutta yöntemleri
ukUkrainian
Метод Рунге — Кутти
uzUzbek
Runge–Kutta usuli
viVietnamese
Phương pháp Runge-Kutta
zhChinese
龙格-库塔法

Popularity rank trends

Best Rank English:
#15885
04.2015
Global:
#17392
12.2014

AI rank trends

Best Rank English:
#8564
04.2003
Global:
#13209
02.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Runge–Kutta method from Wikipedia articles about Euler method, List of Runge–Kutta methods, Numerical method for ordinary differential equations, Heuns method and Runge–Kutta–Fehlberg method. Whereas reading the article about Runge–Kutta method people most often go to Wikipedia articles on Martin Wilhelm Kutta, Carl David Tolmé Runge, Euler method, List of Runge–Kutta methods and Numerical method for ordinary differential equations.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

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