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De l’avantage des méthodes aux différences modifiees de Stiefel- Bettis pour la résolution d’équations différentielles du second ordre perturbees. (French) Zbl 0246.65026

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
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References:

[1] Bettis, D. G.: Numerical integration of products of Fourier and ordinary polynomials. Numer. Math.14, 421-434 (1970). · Zbl 0198.49601 · doi:10.1007/BF02163028
[2] Bettis, D. G.: Stabilization of finite difference methods of numerical integration. Celestial Mechanics2, 282-295 (1970). · Zbl 0257.65062 · doi:10.1007/BF01235122
[3] Scheifele, G.: On numerical integration of perturbed linear oscillating systems. Journal of Applied Mathematics and Physics (ZAMP)22, f. 1, 186-210 (1971). · Zbl 0221.65135 · doi:10.1007/BF01624061
[4] Stiefel, E. L, Bettis, D. G.: Stabilization of Cowell’s method. Numer. Math.13, 154-175 (1969). · Zbl 0219.65062 · doi:10.1007/BF02163234
[5] Stiefel, E. L., Scheifele, G.: Linear and regular celestial mechanics, ch. VII. Berlin-Heidelberg-New York: Springer 1971. · Zbl 0226.70005
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