A changing-chart symplectic algorithm for rigid bodies and other Hamiltonian systems on manifolds

SIAM Journal on Scientific Computing

Volumn 23, Issue 4, 2002, Pages 1189-1203

  Benettin, Giancarlo ^a   Cherubini, Anna Maria ^a   Fassò, Francesco ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Constrained Hamiltonian systems; Rigid body; Symplectic integrators

Indexed keywords

ALGORITHMS; ERRORS; INTERPOLATION;

CONSTRAINED HAMILTONIAN SYSTEMS;

HAMILTONIANS;

EID: 0036347080     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827500381720     Document Type: Article

References (19)

1. Simulation of diatomic homonuclear liquids
2. From Hamiltonian perturbation theory to symplectic integrators and back
3. Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. Part I
4. Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. Part II: Gyroscopic rotations
5. On the Hamiltonian interpolation of near to the identity symplectic mappings, with application to symplectic integration algorithms
6. On the representation of orientation space
7. Singularity free algorithms for molecular dynamics simulation of rigid polyatoms
8. Backward analysis of numerical integrators and symplectic methods
9. A symplectic method for rigid-body molecular simulation
10. Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups
11. Conserving algorithms for the N dimensional rigid body
12. Symplectic integration of constrained Hamiltonian systems
13. Symplectic numerical integrators in constrained Hamiltonian systems
14. Explicit Lie-Poisson integration and the Euler equations
15. Momentum conserving symplectic integrators
16. Lie-Poisson integrators for rigid body dynamics in the solar system
17. Construction of higher order symplectic integrators
18. Recent progress in the theory and application of symplectic integrators