Two-sided Runge-Kutta method accurate to sixth order for second-order ordinary differential equations

Author:

Golovan’ N. S.,Lyashchenko N. Ya.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference4 articles.

1. N. S. Golovan', Construction of Two-Sided Runge—Kutta Approximations Accurate to Fifth Order [in Russian], Unpublished manuscript, VINITI 01.09.80, No. 3962, Moscow (1980).

2. N. S. Golovan', "Two-sided Runge—Kutta methods for the differential equationy″ =f(x, y)," in: Approximate Methods of Mathematical Analysis [in Russian], Kiev (1980), pp. 36–46.

3. E. Hairer, "Methodes de Nystrom pour l'equation differentielley′ = f(x, y)," Num. Math.,27, 283–400 (1977).

4. R. Zurmuhl, "Zur numerischen Integration gewohlicher Differentialgleichungen zweiter und hoherere Ordnung," ZAMM,20, No. 2, 104–106 (1940).

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