Talk:Semi-implicit Euler method: Difference between revisions

Revision as of 18:35, 17 July 2016

Revision as of 08:42, 17 April 2020

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{{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)