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Improved sixth-order Runge-Kutta formulas and approximate continuous solution of ordinary differential equations. (English) Zbl 0291.65018


MSC:

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

[1] Huta, A., Une amélioration de la méthode Runge-Kutta-Nyström pour la résolution numérique des équations différentielles du premier ordre, Acta Fac. Rerum Natur. Univ. Comenian., 1, 201-244 (1956) · Zbl 0074.10803
[2] Huta, A., Contribution à la formule de sixième ordre dans la méthode de Runge-Kutta-Nyström, Acta Fac. Rerum Natur. Univ. Cominian., 2, 21-23 (1957) · Zbl 0087.32504
[3] Kutta, W., Beitrag zur näherungsweisen Integration totaler Differentialgleichungen, Z. Math. Phys., 46, 435-453 (1901) · JFM 32.0316.02
[4] Birkhoff, G.; Rota, G. C., Ordinary Differential Equations, ((1962), Ginn: Ginn Waltham, MA), 208-210 · Zbl 0183.35601
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