Explicit variable step-size and time-reversible integration

Applied Numerical Mathematics

Volumn 39, Issue 3-4, 2001, Pages 367-377

  Holder, Thomas ^a   Leimkuhler, Ben ^b   Reich, Sebastian ^c  

^a ZUSE INSTITUTE BERLIN   (Germany)

^b UNIVERSITY OF LEICESTER   (United Kingdom)

^c UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; INTEGRATION;

TIME-REVERSIBLE INTEGRATION;

DIFFERENTIAL EQUATIONS;

EID: 0035546021     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00089-7     Document Type: Article

References (24)

1. A semi-explicit, variable step-size, time-reversible integrator for constrained dynamics
2. Time-transformations for reversible variable step-size integration
3. Variable step implementation of geometric integrators
4. Asymptotic error analysis of the adaptive Verlet method
5. Split-Hamiltonian methods for rigid body molecular dynamics
6. Variable time step integration with symplectic methods
7. Building a better leapfrog
8. The adaptive Verlet method
9. Reversible adaptive regularization: Perturbed Kepler motion and classical atomic trajectories
10. On the numerical integration of ordinary differential equations by symmetric composition methods
11. Explicit lie-poisson integration and the Euler equations
12. Symplectic integrators for systems of rigid bodies
13. Momentum conserving symplectic integrators
14. Backward error analysis for numerical integrators
15. Reversible systems
16. Variable steps for reversible integration methods
17. Invariant curves for variable step-size integrators
18. On the construction and comparison of difference schemes
19. Computer experiments on classical fluids. I. Thermodynamical properties of Lennard-Jones molecules
20. Construction of higher order symplectic integrators