Exponentially fitted symplectic integrator

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 1 2, 2003, Pages 167011-167017

  Simos, T E ^a,c   Vigo Aguiar, Jesus ^b  

^a UNIVERSITY OF PELOPONNESE   (Greece)

^b UNIVERSITY OF SALAMANCA   (Spain)

^c Amfithea Paleon Faliron   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; HAMILTONIANS; INTEGRATION; MODAL ANALYSIS;

SYMPLECTICNESS CONDITIONS;

RUNGE KUTTA METHODS;

EID: 34547229667     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. M.P. Calvo and J.M. Sanz-Serna, SIAM J. Sci. Comput. (USA) 14, 1237 (1993).
2. V.I. Arnold, Mathematical Methods of Classical Mechanics, 2nd ed. (Springer-Verlag, New York, 1989).
3. Y.B. Suris, Zh. Vychisl, Mat. Mat. Fiz. 29, 202 (1989), in Russian.
4. J.M. Sanz-Serna, Acta Numerica 1, 243 (1992).
5. M.P. Calvo and J.M. Sanz-Serna, SIAM J. Sci. Comput. (USA) 14, 936 (1993).
6. T.E. Simos and P.S. Williams, Comput. Chem. (Oxford) 23, 513 (1999).
7. T.E. Simos, The Royal Society of Chemistry 38, 142 (2000).
8. T.E. Simos and J. Vigo-Aguiar, Int. J. Mod. Phys. C 10, 1453 (2001).
9. M. Hochbruck and C. Lubich, BIT 39, 620 (1999).
10. A. Iserles, DAMTP, University of Cambridge Technical Report No. NA 2000/12, 2000 (unpublished).
11. S. Blanes and P.C. Moan, J. Comput. Appl. Math. 142, 313 (2002).
12. E. Stiefel and D.G. Bettis, Numer. Math. 13, 154 (1969).
13. J. Butcher, The Numerical Analysis of Ordinary Differential Equations, Runge-Kutta Methods and General Linear Methods (Wiley, Chichester, 1987).
14. J.M. Sanz-Serna and M.P. Calvo, Numerical Hamiltonian Problems (Chapman and Hall, London, 1994).