Benettin, Giancarlo; Cherubini, Anna Maria; Fassò, Francesco A changing-chart symplectic algorithm for rigid bodies and other Hamiltonian systems on manifolds. (English) Zbl 1002.65136 SIAM J. Sci. Comput. 23, No. 4, 1189-1203 (2001). The authors make use of the idea of constructing symplectic integrators for Hamiltonian flows on manifolds by covering the manifold with charts of an atlas, implementing the algorithm in each chart and switching among the charts whenever a coordinate singularity is approached. They use the method in solving two specific problems. Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) Cited in 1 ReviewCited in 8 Documents MSC: 65P10 Numerical methods for Hamiltonian systems including symplectic integrators 70E17 Motion of a rigid body with a fixed point 70H06 Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics 37M15 Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems 37J05 Relations of dynamical systems with symplectic geometry and topology (MSC2010) Keywords:symplectic integrators; constrained Hamiltonian systems; flows on manifolds; splitting methods; rigid body; algorithm PDFBibTeX XMLCite \textit{G. Benettin} et al., SIAM J. Sci. Comput. 23, No. 4, 1189--1203 (2001; Zbl 1002.65136) Full Text: DOI