Simulating Hamiltonian dynamics
Benedict Leimkuhler, Sebastian Reich.
Cambridge, UK ; New York : Cambridge University Press, 2004.
xvi, 379 págs. : ilustraciones ; 24 cm.
Serie: Cambridge monographs on applied and computational mathematics ; 14
ISBN: 0521772907
Incluye referencias bibliográficas (p. 357-373) e índice.
Reseña: MathSciNet, 2006a:37078
Contenido
- 1. Introduction
- 2. Numerical methods
- 3. Hamiltonian mechanics
- 4. Geometric integrators
- 5. The modified equations
- 6. Higher-order methods
- 7. Constrained mechanical systems
- 8. Rigid body dynamics
- 9. Adaptive geometric integrators
- 10. Highly oscillatory problems
- 11. Molecular dynamics
- 12. Hamiltonian PDEs.