Extrapolation of symplectic integrators

Celestial Mechanics and Dynamical Astronomy

Volumn 75, Issue 2, 1999, Pages 149-161

  Blanes, S ^a,b   Casas, F ^b   Ros, J ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITAT JAUME I   (Spain)

^c UNIVERSITY OF VALENCIA   (Spain)

Author keywords

Extrapolation technique; Hamiltonian systems; Initial value problems; Symplectic integrators

Indexed keywords

EID: 0005343070     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008364504014     Document Type: Article

References (11)

1. Aubry, A. and Chartier, P.: 'Pseudo-symplectic Runge-Kutta methods', BIT 38 (1998), 439-461; 'A note on pseudo-symplectic Runge-Kutta methods', BIT 38 (1998), 802-806.
2. Aubry, A. and Chartier, P.: 'Pseudo-symplectic Runge-Kutta methods', BIT 38 (1998), 439-461; 'A note on pseudo-symplectic Runge-Kutta methods', BIT 38 (1998), 802-806.
3. Blanes, S., Casas, F. and Ros, J.: 'Processing integration for near-integrable Hamiltonian systems', submitted to Celest. Mech. & Dyn. Astr.
4. Blanes, S., Casas, F. and Ros, J.: 'High-order Runge-Kutta-Nyström methods with processing', submitted.
5. McLachlan, R. I.: 'On the numerical integration of ordinary differential equations by symmetric composition methods', SIAM J. Sci. Comput. 16 (1995), 151-168.
6. McLachlan, R. I. and Scovel, C.: 'A survey of open problems in symplectic integration', In: J. E. Marsden, G. W. Patrick, and W. F. Shadwick (eds) Integration Algorithms and Classical Mechanics, American Mathematical Society, Providence, RI, 1996, pp. 151-180.
7. Sanz-Serna, J. M. and Calvo, M. P.: Numerical Hamiltonian Problems, Chapman & Hall, London, 1994.
8. Suzuki, M.: 'Fractal decomposition of exponential operators with application to many-body theories and Monte Carlo simulations', Phys. Lett. A 146 (1990), 319-323.
9. Wilcox, R. M.: 'Exponential operators and parameter differentiation in Quantum Physics', J. Math. Phys. 8 (1967), 962-982.
10. Yoshida, H.: 'Construction of higher order symplectic integrators', Phys. Lett. A 150 (1990), 262-268.
11. Yoshida, H.: 'Recent progress in the theory and application of symplectic integrators', Celest. Mech. & Dyn. Astr. 56 (1993), 27-43.