A trigonometrically fitted Runge-Kutta method for the numerical solution of orbital problems

New Astronomy

Volumn 10, Issue 4, 2005, Pages 301-309

  Anastassi, Z A ^a   Simos, T E ^a,b  

^a UNIVERSITY OF PELOPONNESE   (Greece)

^b Amfithea Paleon Faliron   (Greece)

Author keywords

Explicit methods; Exponential fitting; Orbital problems; Runge Kutta; Trigonometrical fitting

Indexed keywords

APPROXIMATION THEORY; ASTROPHYSICS; FUNCTIONS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; RUNGE KUTTA METHODS;

EXPLICIT METHODS; EXPONENTIAL-FITTING; ORBITAL PROBLEMS; TRIGNOMETRICAL-FITTING;

ORBITS;

EID: 14044278670     PISSN: 13841076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.newast.2004.12.003     Document Type: Article

References (6)

1. E. Hairer, S.P. Nørsett, and G. Wanner Solving Ordinary Differential Equations I, Nonstiff Problems 1993 Springer Verlag Berlin, Heidelberg
2. Simos, T.E., 1998. An exponentially-fiited Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
3. T. Lyche Numer. Math. 19 1972 65
4. G. Engeln-Müllges, and F. Uhlig Numerical Algorithms with Fortran 1996 Springer Verlag Berlin, Heidelberg pp. 423-488
5. T.E. Simos Appl. Math. Lett. 15 2002 217
6. G. Vanden Berghe, H. De Meyer, M. Van Daele, and T. Van Hecke Comput. Phys. Commun. 123 1999 7