On the qualitative behaviour of symplectic integrators part I: Perturbed linear systems

Numerische Mathematik

Volumn 77, Issue 4, 1997, Pages 535-547

  Stoffer, Daniel ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031501317     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050299     Document Type: Article

References (10)

1. Butcher, J.C. (1987): The numerical Analysis of Ordinary Differential Equations, John Wiley, Chichester
2. Channell, P.J., Scovel, C. (1990): Symplectic integration of Hamiltonian systems, Nonlinearity 3, pp. 231-259.
3. Feng Kang (1986): Difference schemes for Hamiltonian formalism and symplectic geometry, J. Comp. Math. 4, pp. 279-289.
4. Hairer, E., Nørsett, S., Wanner, G. (1993): Solving Ordinary Differential Equations I, Nonstiff Problems, Springer-Verlag, Berlin, 2nd Ed.
5. Lasagni, F. (1988): Canonical Runge-Kutta methods, ZAMP 39, pp. 952-953.
6. Nipp, K., Stoffer, D. (1992): Attractive invariant manifolds for maps: Existence, smoothness and continuous dependence on the map, Research Report 92-11, Seminar für angewandte Mathemaktik, ETH Zürich
7. Sanz-Serna, J.M. (1988): Runge-Kutta schemes for Hamiltonian systems, BIT 28, pp. 877-883.
8. Sanz-Serna, J.M., Calvo, M.P. (1994): Numerical Hamiltonian problems, Chapman & Hall, London
9. Stoffer, D.M. (1988): Some geometric and numerical methods for perturbed integrable systems, Ph.D. Thesis, ETH Zürich
10. Yoshida, M. (1993): Recent progress in the theory and application of symplectic integrators, Celestial Mech. Dynam. Astronom. 56, 27-43