A numerical method for the integration of perturbed linear problems

Applied Mathematics and Computation

Volumn 96, Issue 1, 1998, Pages 65-73

  López, David J ^a   Martín, Pablo ^a  

^a UNIVERSIDAD DE VALLADOLID   (Spain)

Author keywords

Multistep methods; Numerical integration; Perturbed problems

Indexed keywords

EID: 0005701736     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(97)10121-7     Document Type: Article

References (7)

1. E.L. Stiefel, D.G. Bettis, Stabilization of Cowell's method, Numer. Math. 13 (1969) 154-175.
2. D.G. Bettis, Numerical integration of products of Fourier and ordinary polynomials, Numer. Math. 14 (1970) 421-434.
3. G. Scheifele, On numerical integration of perturbed linear oscillating systems, ZAMP 22 (1971) 186-210.
4. P. Martin, J.M. Ferrándiz, Behaviour of the SMF method for the numerical integration of satellite orbits, Celestial Mech. Dyn. Astron. 63 (1995) 29-40.
5. P. Martin, J.M. Ferrándiz, Multistep numerical methods based on the Scheifele G-functions with application to satellite dynamics, SIAM J. Numer. Anal. 34 (1997) 359-375.
6. E.L. Stiefel, G. Scheifele, Linear and Regular Celestial Mechanics, Springer, New York, 1971.
7. V. Fairén, P. Martín, J.M. Ferrándiz, Numerical tracking of small deviations from analytically known periodic orbits, Comp. Phys. 8 (1994) 455-461.