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m it's also called the Newton–Stormer–Verlet (NSV) method |
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In mathematics, the '''semi–implicit Euler''' method, also called '''semi–explicit Euler''', '''Euler–Cromer''', '''Newton–Stormer–Verlet (NSV)''', and '''symplectic Euler''' 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.
== Setting ==
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