Trigonometrically-fitted symmetric multistep methods for the approximate solution of orbital problems

New Astronomy

Volumn 8, Issue 7, 2003, Pages 679-690

  Psihoyios, G ^a   Simos, T E ^a,b,c  

^a ANGLIA RUSKIN UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF PELOPONNESE   (Greece)

^c NONE   (Greece)

Author keywords

Methods: numerical

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; ORBITS; PROBLEM SOLVING;

PLANETARY ORBITS;

ASTRONOMY;

EID: 0041914624     PISSN: 13841076     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1384-1076(03)00059-9     Document Type: Article

References (11)

1. Dormand J.R., El-Mikkawy M.E.A., Prince P.J. IMA J. Numer. Anal. 7:1987;423.
2. Franco J.M., Palacios M. J. Comput. Appl. Math. 30:1990;1.
3. Konguetsof A., Simos T.E. J. Comput. Meth. Sci. Eng. 1:2001;143.
4. Lambert J.D., Watson I.A. J. Inst. Math. Applic. 18:1976;189.
5. Quinlan, G.D., 2000. Resonances and instabilities in symmetric multistep methods, submitted.
6. Quinlan G.D., Tremaine S. AJ. 100:1990;1694.
7. Simos, T.E., 2000. In: Hinchliffe, A. (Ed.), Chemical Modelling: Applications and Theory. UMIST, Manchester, The Royal Society of Chemistry, p. 38.
8. Simos T.E. NewA. 7:2002;1.
9. Simos T.E. NewA. 8:2003;391.
10. Simos T.E., Williams P.S. Comput. Chem. 23:1999;513.
11. Stiefel E., Bettis D.G. Numer. Math. 13:1969;154.