The Discrete Moser-Veselov Algorithm for the Free Rigid Body
BERGEN UNIV (NORWAY)
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The subject of this talk is the numerical solution of the free RB equations, M1 M, OMEGA, MOMEGA J J OMEGA, where M, OMEGA are skew-symmetric matrices and J is a diagonal matrix with positive entries M is the matrix of body momenta OMEGA is the matrix of body angular velocity. Often the above equations are associated with the equations that give the configuration of the body in the fixed frame The Discrete Moser-Veselov description of the rigid body Integrability of the discrete algorithm Backward error analysis of the DMV algorithm Higher order integrable approximations Numerical experiments and comparisons with other methods Explicit methods for the 3 x 3 case.
- Numerical Mathematics