High-order closed Newton-Cotes trigonometrically-fitted formulae for long-time integration of orbital problems

Computer Physics Communications

Volumn 178, Issue 3, 2008, Pages 199-207

  Simos, T E ^a  

^a UNIVERSITY OF PELOPONNESE   (Greece)

Author keywords

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

Indexed keywords

ENERGY CONSERVATION; GEOMETRY; NUMERICAL METHODS;

CLOSED NEWTON-COTES DIFFERENTIAL METHODS; ORBITAL PROBLEMS; SYMPLECTIC INTEGRATORS; SYMPLECTIC MULTILAYER STRUCTURES; TRIGONOMETRIC FITTING;

PROBLEM SOLVING;

EID: 38349065108     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2007.08.016     Document Type: Article

References (28)

1. Anastassi Z.A., and Simos T.E. New Astronomy 10 4 (2005) 301
2. Anastassi Z.A., and Simos T.E. New Astronomy 10 1 (2004) 31
3. Arnold V. Mathematical methods of Classical Mechanics (1978), Springer-Verlag, New York
4. Chiou J.C., and Wu S.D. J. Chem. Phys. 107 (1997) 6894
5. Hairer E., Norsett S.P., and Wanner G. Solving Ordinary Differential Equations I (1993), Springer-Verlag, Berlin, Heidelberg
6. Simos T.E. Comput. Lett. 1 1 (2005) 37
7. Psihoyios G. Comput. Lett. 2 1-2 (2006) 51
8. Amodio P., Gladwell I., and Romanazzi G. JNAIAM 1 1 (2006) 5
9. Capper S.D., Cash J.R., and Moore D.R. JNAIAM 1 1 (2006) 13
10. Psihoyios G., and Simos T.E. New Astronomy 8 7 (2003) 679
11. Sanz-Serna J.M., and Calvo M.P. Numerical Hamiltonian Problem (1994), Chapman and Hall, London
12. Simos T.E. Numerical methods for 1D, 2D and 3D differential equations arising in chemical problems. Chemical Modelling: Applications and Theory (2002), The Royal Society of Chemistry 170
13. Simos T.E. New Astronomy 9 6 (2004) 409
14. Simos T.E. New Astronomy 9 1 (2004) 59
15. Simos T.E. New Astronomy 8 5 (2003) 391
16. Simos T.E. New Astronomy 7 1 (2002) 1
17. Simos T.E. Internat. J. Modern Phys. C 11 (2000) 79
18. Simos T.E., and Williams P.S. Internat. J. Modern Phys. C 10 (1999) 839
19. Cash J.R., and Girdlestone S. JNAIAM 1 1 (2006) 59
20. Iavernaro F., Mazzia F., and Trigiante D. JNAIAM 1 1 (2006) 91
21. Simos T.E. Internat. J. Modern Phys. C 7 (1996) 825
22. Stiefel E., and Bettis D.G. Numer. Math. 13 (1969) 154
23. Van Daele M., and Vanden Berghe G. Appl. Num. Anal. Comp. Math. 1 2 (2004) 353
24. Vanden Berghe G., Van Daele M., and Vande Vyver H. Appl. Num. Anal. Comp. Math. 1 1 (2004) 49
25. Mazzia F., Sestini A., and Trigiante D. JNAIAM 1 1 (2006) 131
26. Zhu W., Zhao X., and Tang Y. J. Chem. Phys. 104 (1996) 2275
27. Quinlan G.D., and Tremaine S. Astronom. J. 100 5 (1990) 1694
28. Simos T.E., and Vigo-Aguiar J. Comput. Phys. Comm. 140 3 (2001) 358