论文信息 - Reformulation of the RKGM methods using Scheifele expansions

Reformulation of the RKGM methods using Scheifele expansions

Abstract The purpose of this paper is to present a reformulation of certain RKN methods based on the so-called G -functions making Scheifele expansions of their coefficients. This new formulation allows us to present a more simple implementation of such methods.

José-Miguel Farto | Ana B. González | D. J. López

[1] Gerhard Scheifele. On numerical integration of perturbed linear oscillating systems , 1971 .

[2] José M. Ferrándiz,et al. Multistep Numerical Methods Based on the Scheifele G -Functions with Application to Satellite Dynamics , 1997 .

[3] Pablo Martín,et al. A new family of Runge–Kutta type methods for the numerical integration of perturbed oscillators , 1999, Numerische Mathematik.

[4] Modified Taylor approximation of functions with periodic behaviour , 2001 .