On the realization of explicit Runge-Kutta schemes preserving quadratic invariants of dynamical systems

We implement several explicit Runge-Kutta schemes that preserve quadratic invariants of autonomous dynamical systems in Sage. In this paper, we want to present our package ex.sage and the results of our numerical experiments. In the package, the functions rrk_solve, idt_solve and project_1 are const...

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Bibliographic Details
Main Authors: Yu Ying, Mikhail D. Malykh
Format: Article
Language:English
Published: Peoples’ Friendship University of Russia (RUDN University) 2020-12-01
Series:Discrete and Continuous Models and Applied Computational Science
Subjects:
Online Access:http://journals.rudn.ru/miph/article/viewFile/25180/18850