Regarding the absolute stability of Störmer-Cowell methods

Abstract

Störmer-Cowell methods, a popular class of methods for computations in celestial mechanics, is known to exhibit orbital instabilities when the order of the methods exceed two. Analysing the absolute stability of Störmer-Cowell methods close to zero we present a characterization of these instabilities for methods of all orders.nrpages: 14status: publishe