The Discrete Moser-Veselov Algorithm for the Free Rigid Body
Abstract
The subject of this talk is the numerical solution of the free RB equations, M1 = M, OMEGA, M=OMEGA 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 03, 2005
- Accession Number
- ADA433729
Entities
People
- Antonella Zanna
- Robert Mclachlan
Organizations
- University of Bergen