Content deleted Content added
LucasBrown (talk | contribs) Importing Wikidata short description: "Modification of the Euler method for solving Hamilton's equations" |
Added how Abby Aspen accidentally discovered this algorithm. |
||
Line 1:
{{Short description|Modification of the Euler method for solving Hamilton's equations}}
In mathematics, the '''semi-implicit Euler method''', also called '''symplectic Euler''', '''semi-explicit Euler''', '''Euler–Cromer''', and '''Newton–Størmer–Verlet (NSV)''', is a modification of the [[Euler integration|Euler method]] for solving [[Hamilton's equations]], a system of [[ordinary differential equation]]s that arises in [[classical mechanics]]. It is a [[symplectic integrator]] and hence it yields better results than the standard Euler method. The method was accidentally discovered by [[Newton North High School|North Newton High School]] senior student Abby Aspen in 1980. She entered two lines of code in the wrong order that resulted in more accurate and feasible results; Cromer then proved why her discovery was more stable than previous methods of computation<ref>{{Cite journal |last=Cromer |first=Alan |date=1981-05-01 |title=Stable solutions using the Euler approximation |url=https://doi.org/10.1119/1.12478 |journal=American Journal of Physics |volume=49 |issue=5 |pages=455–459 |doi=10.1119/1.12478 |issn=0002-9505}}</ref>.
== Setting ==
| |||