Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
High order adaptive methods of Nyström-Cowell type
Journal of Computational and Applied Mathematics
Runge-Kutta(-Nystro¨m) methods for ODEs with periodic solutions based on trigonometric polynomials
Applied Numerical Mathematics - Selected papers on eighth conference on the numerical treatment of differential equations 1-5 September 1997, Alexisbad, Germany
Exponentially fitted Runge-Kutta methods
Journal of Computational and Applied Mathematics - Special issue on numerical anaylsis 2000 Vol. VI: Ordinary differential equations and integral equations
New methods for oscillatory problems based on classical codes
Applied Numerical Mathematics
An embedded pair of exponentially fitted explicit Runge-Kutta methods
Journal of Computational and Applied Mathematics
Stability of explicit ARKN methods for perturbed oscillators
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)
New methods for oscillatory systems based on ARKN methods
Applied Numerical Mathematics
A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators
Applied Numerical Mathematics
Trigonometrically-fitted ARKN methods for perturbed oscillators
Applied Numerical Mathematics
Scheifele two-step methods for perturbed oscillators
Journal of Computational and Applied Mathematics
A robust trigonometrically fitted embedded pair for perturbed oscillators
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)
A 5(3) pair of explicit Runge-Kutta-Nyström methods for oscillatory problems
Mathematical and Computer Modelling: An International Journal
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A new embedded pair of explicit RKN methods specially adapted to the numerical integration of perturbed oscillators is obtained. This pair depends on a parameter v = ωh 0 (h is the integration step and ω is the dominant frequency), and it has four stages and algebraic orders five and three. The numerical experiments carried out show that the new pair is very competitive when it is compared with high-quality codes proposed in the scientific literature.