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

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.


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Citation Formats
T. Ergenc and B. Karasözen, “Runge-Kutta collocation methods for rigid body Lie-Poisson equations,” INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, pp. 63–71, 1996, Accessed: 00, 2020. [Online]. Available: