A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators

Numerische Mathematik

Volumn 82, Issue 4, 1999, Pages 635-646

  González, Ana B ^a   Martín, Pablo ^a   Farto, José M ^a  

^a UNIVERSIDAD DE VALLADOLID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040531663     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050434     Document Type: Article

References (9)

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2. Calvo, M.P., Sanz-Serna, J.M. (1993): The development of variable-step size symplectic integrators, with application to the two-body problem. SIAM J. Sci. Comput. 14, 936-952
3. Fairén, V., Martín, P., Ferrándiz, J.M. (1994): Numerical tracking of small deviations from analytically known periodic orbits. Computers in Physics 8, 455-461
4. Farto, J.M., González, A.B., Martín, P.: An algorithm for the systematic construction of solutions to perturbed problems. Computer Physics Communications 111, 110-132
5. Hairer, E., Nørsett, S.P., Wanner, G. (1987): Solving Ordinary Differential Equations I, Nonstiff Problems. Springer, Berlin 1987
6. Martín, P., Ferrándiz, J.M. (1997): Multistep numerical methods based on the Scheifele G-functions with application to satellite dynamics. SIAM J. Numer. Anal. 34, 359-375
7. Sanz-Serna, J.M., Calvo, M.P. (1994): Numerical Hamiltonian Problems. Chapman & Hall, London
8. Scheifele, G. (1971): On numerical integration of perturbed linear oscillating system. ZAMP, 22, 186-210
9. Verhulst, F. (1990): Nonlinear Differential Equations and Dynamical Systems. Springer-Verlag, Berlin