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== Initial discussion ==
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== Method name ==
This is the same thing as semi-explicit Euler, right? Would it anger anyone if suggested the article be renamed to either [[Semi-explicit Euler]] or [[Symplectic Euler]] since those are the names people are familiar with? --[[User:Numsgil|Numsgil]] ([[User talk:Numsgil|talk]]) 18:36, 29 May 2008 (UTC)
Agreed. I was surprised to see this labeled as "semi-implicit" Euler. Under that name I would have expected something like the Crank-Nicolson method. <small class="autosigned">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/24.163.53.10|24.163.53.10]] ([[User talk:24.163.53.10|talk]]) 01:49, 1 October 2015 (UTC)</small><!-- Template:Unsigned IP --> <!--Autosigned by SineBot-->
This name is vague to me, since I've seen semi-implicit Euler to mean many things. Some people call any IMEX semi-implicit Euler, e.g. This is the first time I've seen it used for symplectic Euler. I don't know if the best way to address this is to create multiple sections for the different meanings. [[User:Fish sounds|Fish sounds]] ([[User talk:Fish sounds|talk]]) 02:37, 31 July 2020 (UTC)
Indeed the name is overloaded. At the very least this page should warn readers that there are a large group of people who use this term to mean something else. See for instance the paper "[https://link.springer.com/content/pdf/10.1007/BF01400352.pdf One-step and Extrapolation Methods for Differential-Algebraic Systems]" published in Numer. Math. 51,501-516 (1987).
== Arguments of ''f'' and ''g'' ==
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I have used this method to obtain solutions for the damped, driven oscillator and the results seem to agree with other methods.--[[User:DJIndica|DJIndica]] ([[User talk:DJIndica|talk]]) 20:40, 2 October 2009 (UTC)
==Assessment comment==
{{Substituted comment|length=197|lastedit=20160510200405|comment=Work out example and add picture, connection with Stormer-Verlet, history. Prose can be tightened. -- [[User:Jitse Niesen|Jitse Niesen]] ([[User talk:Jitse Niesen|talk]]) 13:46, 2 August 2007 (UTC)}}
Substituted at 18:35, 17 July 2016 (UTC)
== Newton–Størmer–Verlet ==
The beginning of the article claims that the semi-implicit Euler method is also called Newton–Størmer–Verlet, but I believe that's incorrect. Newton–Størmer–Verlet (NSV) integration is also known as:
* Størmer–Verlet integration
* Størmer integration
* Verlet integration
* Leapfrog integration
* Encke integration
The Semi-implicit Euler method is not the same as the Verlet method, but the two are related. If your acceleration depends only on position, one step of Verlet integration can be composed from two half steps of Semi-implicit Euler (using one of each of the two variants) <ref name="hairer2003">{{cite journal
| first=Ernst | last=Hairer
| first2=Christian | last2=Lubich
| first3=Gerhard | last3=Wanner
| title=Geometric numerical integration illustrated by the Störmer/Verlet method
| journal = Acta Numerica
| year = 2003
| volume = 12
| pages = 399–450
| doi=10.1017/S0962492902000144
| citeseerx=10.1.1.7.7106
}}</ref> pp.4,5.
[[User:SaltedPretzel|SaltedPretzel]] ([[User talk:SaltedPretzel|talk]]) 08:42, 17 April 2020 (UTC)
{{reflist-talk}}
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