On the properties of numerical solutions of dynamical systems obtained using the midpoint method

The article considers the midpoint scheme as a finite-difference scheme for a dynamical system of the form ̇ = (). This scheme is remarkable because according to Coopers theorem, it preserves all quadratic integrals of motion, moreover, it is the simplest scheme among symplectic Runge-Kutta schemes...

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Hlavní autoři:	Vladimir P. Gerdt, Mikhail D. Malykh, Leonid A. Sevastianov, Yu Ying
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	Peoples’ Friendship University of Russia (RUDN University) 2019-12-01
Edice:	Discrete and Continuous Models and Applied Computational Science
Témata:	conservative finite-difference schemes dynamical systems sage maple
On-line přístup:	http://journals.rudn.ru/miph/article/viewFile/22703/17710
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