Runge-Kutta collocation methods for rigid body Lie-Poisson equations

Date

1996-01-01

Author

Ergenc, T
Karasözen, Bülent

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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.

Subject Keywords

Runge-Kutta methods, Euler top, One-forms, Lie-Poisson system

URI

https://hdl.handle.net/11511/31880

Collections

Graduate School of Applied Mathematics, Article