Stability of explicit ARKN methods for perturbed oscillators

Journal of Computational and Applied Mathematics

Volumn 173, Issue 2, 2005, Pages 389-396

  Franco, J M ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Adapted RKN methods; Oscillatory problems; Stability

Indexed keywords

ASYMPTOTIC STABILITY; LINEAR SYSTEMS; OSCILLATORS (ELECTRONIC); PERTURBATION TECHNIQUES;

GENERALIZATION; PERTURBED OSCILLATORS; RKN METHODS; STABILITY REGIONS;

COMPUTATIONAL METHODS;

MATHEMATICAL METHOD;

EID: 8144230726     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.05.017     Document Type: Article

References (4)

1. J.M. Franco Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators Comput. Phys. Commun. 147 2002 770-787
2. J.M. Franco Embedded pairs of explicit ARKN methods for the numerical integration of perturbed oscillators J. Comput. Methods Sci. Eng. 3 2003 221-230
3. A.B. González P. Martín J.M. Farto A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators Numer. Math. 82 1999 635-646
4. P.J. Van der Houwen B.P. Sommeijer Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems SIAM J. Numer. Anal. 26 1989 414-429