Closed Newton-Cotes trigonometrically-fitted formulae for long-time integration

International Journal of Modern Physics C

Volumn 14, Issue 8, 2003, Pages 1061-1074

  Simos, T E ^a  

^a UNIVERSITY OF PELOPONNESE   (Greece)

Author keywords

Closed Newton Cotes differential methods; Energy preservation; Multistep methods; Symplectic integrators; Trigonometric fitting

Indexed keywords

EID: 1842425400     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183103005248     Document Type: Article

References (19)

1. W. Zhu, X. Zhao, and Y. Tang, J. Chem. Phys. 104, 2275 (1996).
2. J. G. Chiou and S. D. Wu, J. Chem. Phys. 107, 6894 (1997).
3. V. Arnold, Mathematical Methods of Classical Mechanics (Springer-Verlag, New York, 1978).
4. J. M. Sanz-Serna and M. P. Calvo, Numerical Hamiltonian Problem (Chapman and Hall, London, 1994).
5. T. E. Simos and J. V. Aguiar, Int. J. Mod. Phys. C 12, 1453 (2001).
6. T. E. Simos and J. V. Aguiar, Int. J. Mod. Phys. C 12, 1035 (2001).
7. J. V. Aguiar, T. E. Simos, and A. Tocino, Int. J. Mod. Phys. C 12, 225 (2001).
8. T. E. Simos, Int. J. Mod. Phys. C 11, 1115 (2000).
9. T. E. Simos and J. V. Aguiar, Int. J. Mod. Phys. C 11, 1195 (2000).
10. P. S. Williams and T. E. Simos, Int. J. Mod. Phys. C 11, 785 (2000).
11. G. Avdelas, A. Konguetsof, and T. E. Simos, Int. J. Mod. Phys. C 11, 415 (2000).
12. T. E. Simos, Int. J. Mod. Phys. C 11, 79 (2000).
13. T. E. Simos and P. S. Williams, Int. J. Mod. Phys. C 10, 839 (1999).
14. T. E. Simos, Int. J. Mod. Phys. C 9, 1055 (1998).
15. T. E. Simos, Int. J. Mod. Phys. C 9, 271 (1998).
16. T. E. Simos, Int. J. Mod. Phys. C 7, 825 (1996).
17. T. E. Simos, Chemical Modelling: Applications and Theory (The Royal Society of Chemistry, 2002), pp. 170-270.
18. E. Hairer, S. P. Norsett, and G. Wanner, Solving Ordinary Differential Equations I (Springer-Verlag, Berlin, Heidelberg, 1993).
19. E. Stiefel and D. G. Bettis, Numer. Math. 13, 154 (1969).