Symbol Manipulation and Applied Mathematics.
NEW MEXICO UNIV ALBUQUERQUE DEPT OF MATHEMATICS AND STATISTICS
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Another project is to reveal the region of validity of perturbation methods in Hamiltonian mechanics. A canonical Lie series method was implemented to calculate perturbations of systems close to those encountered in celestial mechanics. The classical perturbation methods do not result in good approximations in the whole phase space, that is, both far from and close to the resonances. A perturbation theory with extended validity is now being sought. In the course of this study some problems encountered in algebraic manipulations in MACSYMA were corrected. This allowed a fast and efficient algorithm for canonical perturbation theory to be implemented.
- Theoretical Mathematics