Abstract
The rigid body Lie-Poisson structure in three dimensions is considered. We show that the symplectic collocation type Runge-Kutta methods preserve the one-form of the underlying system. The linear error growth, energy and momentum conservation properties of the numerical solutions are discussed for Euler top equation.
C.R. Categories::
∗ The Author thsnks P.Rentrop for this very Warm hospitality at the Department of Mathe-matics,Technische Hochsule Dramstadt
∗ The Author thsnks P.Rentrop for this very Warm hospitality at the Department of Mathe-matics,Technische Hochsule Dramstadt
Notes
∗ The Author thsnks P.Rentrop for this very Warm hospitality at the Department of Mathe-matics,Technische Hochsule Dramstadt