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...

Full description

Bibliographic Details
Main Authors: Vladimir P. Gerdt, Mikhail D. Malykh, Leonid A. Sevastianov, Yu Ying
Format: Article
Language:English
Published: Peoples’ Friendship University of Russia (RUDN University) 2019-12-01
Series:Discrete and Continuous Models and Applied Computational Science
Subjects:
Online Access:http://journals.rudn.ru/miph/article/viewFile/22703/17710