Semi-implicit Euler method

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Semi-implicit Euler method

Quality:

Semi-implicit Euler method - modification of the Euler method for solving Hamilton's equations. Article “Semi-implicit Euler method” in English Wikipedia has 19.3 points for quality (as of July 1, 2025). The article contains 5 references and 5 sections.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Semi-implicit Euler method”, its content was written by 17 registered users of English Wikipedia and edited by 35 registered Wikipedia users in all languages.

The article is cited 49 times in English Wikipedia and cited 106 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #129113 in June 2008
  • Global: #131583 in November 2017

The highest popularity rank from 2008:

  • Local (English): #352320 in November 2021
  • Global: #554173 in November 2021

There are 5 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
1German (de)
Symplektisches Eulerverfahren
21.2486
2English (en)
Semi-implicit Euler method
19.2686
3Italian (it)
Metodo di Eulero semi-implicito
10.4557
4Korean (ko)
반-암시적 오일러 방법
9.4617
5French (fr)
Méthode d'Euler semi-implicite
4.8663
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 "Semi-implicit Euler method" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Semi-implicit Euler method
350 836
2French (fr)
Méthode d'Euler semi-implicite
22 997
3German (de)
Symplektisches Eulerverfahren
9 950
4Italian (it)
Metodo di Eulero semi-implicito
3 124
5Korean (ko)
반-암시적 오일러 방법
2 972
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 "Semi-implicit Euler method" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Semi-implicit Euler method
1 632
2German (de)
Symplektisches Eulerverfahren
116
3French (fr)
Méthode d'Euler semi-implicite
109
4Korean (ko)
반-암시적 오일러 방법
33
5Italian (it)
Metodo di Eulero semi-implicito
28
More...

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

The highest AI

Language versions of the article "Semi-implicit Euler method" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Semi-implicit Euler method
17
2German (de)
Symplektisches Eulerverfahren
6
3French (fr)
Méthode d'Euler semi-implicite
6
4Italian (it)
Metodo di Eulero semi-implicito
4
5Korean (ko)
반-암시적 오일러 방법
2
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 "Semi-implicit Euler method" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Symplektisches Eulerverfahren
0
2English (en)
Semi-implicit Euler method
0
3French (fr)
Méthode d'Euler semi-implicite
0
4Italian (it)
Metodo di Eulero semi-implicito
0
5Korean (ko)
반-암시적 오일러 방법
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 "Semi-implicit Euler method" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Semi-implicit Euler method
49
2French (fr)
Méthode d'Euler semi-implicite
47
3Korean (ko)
반-암시적 오일러 방법
7
4German (de)
Symplektisches Eulerverfahren
2
5Italian (it)
Metodo di Eulero semi-implicito
1
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
deGerman
Symplektisches Eulerverfahren
enEnglish
Semi-implicit Euler method
frFrench
Méthode d'Euler semi-implicite
itItalian
Metodo di Eulero semi-implicito
koKorean
반-암시적 오일러 방법

Popularity rank trends

Best Rank English:
#352320
11.2021
Global:
#554173
11.2021

AI rank trends

Best Rank English:
#129113
06.2008
Global:
#131583
11.2017

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Semi-implicit Euler method from Wikipedia articles about Symplectic integrator, Euler method, Backward Euler method, Verlet integration and Geometric integrator. Whereas reading the article about Semi-implicit Euler method people most often go to Wikipedia articles on Symplectic integrator, Euler method, Leapfrog integration, Hamiltonian mechanics and Verlet integration.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

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