Reflexive Methods for Dynamical Systems with Conserved Quantities

B. Karasozen

A special symmetric method for ordinary differential equations with quadratic nonlinearities in the dependent variables is investigated with respect to it's conservation properties. This method and its' higher order compositions are applied to Euler top equation, odd dimensional Lotka-Volterra equations.

KEYWORDS: Symmetric methods, Composition methods, Backward error analysis, Conservation of integrals, Volume preservation, Euler top equations, Lotka-Volterra equations.