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• [2] C. Runge, Ueber die numerische Auflösung von Differentialgleichungen, Math. Ann. 46 (1895), no. 2, 167–178 (German). MR 1510879, http://dx.doi.org/10.1007/BF01446807
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• [4] E. J. Nyström, ``Über die numerische Integration von Differentialgleichungen,'' Acta Soc. Sci. Fennicae, v. 50, 1925, p. 1-55.
• [5] S. Gill, A process for the step-by-step integration of differential equations in an automatic digital computing machine, Proc. Cambridge Philos. Soc. 47 (1951), 96–108. MR 0039374 (12,538g)
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• [15] A. N. Kolmogorov and S. V. Fomin, Elements of the theory of functions and functional analysis. Vol. 1. Metric and normed spaces, Graylock Press, Rochester, N. Y., 1957. Translated from the first Russian edition by Leo F. Boron. MR 0085462 (19,44d)

Bibliography

[1]

J. C. Butcher, ``Coefficients for the study of Runge-Kutta integration processes,'' J. Aust. Math. Soc., v. 3, 1963, p. 185-201. MR 0152129 (27:2109)

[2]

C. Runge, ``Über die numerische Auflösung von Differential-gleichungen,'' Math. Ann., v. 46, 1895, p. 167-178. MR 1510879

[3]

W. Kutta, ``Beitrag zur naherungsweisen Integration von Differentialgleichungen,'' Zeit. Math. Physik, v. 46, 1901, p. 435-453.

[4]

E. J. Nyström, ``Über die numerische Integration von Differentialgleichungen,'' Acta Soc. Sci. Fennicae, v. 50, 1925, p. 1-55.

[5]

S. Gill, ``A process for the step-by-step integration of differential equations in an automatic digital computing machine,'' Proc. Cambridge Philos. Soc., v. 47, 1951, p. 96-108. MR 0039374 (12:538g)

[6]

A. Huťa, ``Une amélioration de la méthode de Runge-Kutta-Nyström pour la résolution numérique des équations différentielles du premier ordre,'' Acta Fac. Nat. Univ. Comenian. Math., v.1, 1956, p. 201-224. MR 0097156 (20:3635)

[7]

A. Huťa, ``Contribution à la formule de sixième ordre dans la méthode de Runge-Kutta-Nyström,'' Acta Fac. Nat. Univ. Comenian. Math., v. 2, 1957, p. 21-24.

[8]

K. S. Kunz, Numerical Analysis, 1st edition, McGraw-Hill, New York, 1957, p. 206. MR 0088045 (19:460c)

[9]

R. H. Merson, ``An operational method for the study of integration processes,'' Proceedings of Conference on Data Processing and Automatic Computing Machines at Weapons Research Establishment, Salisbury, South Australia, 1957, paper No. 110.

[10]

Z. Kopal, Numerical Analysis, 1st edition, Chapman and Hall, London, 1955, p. 368.

[11]

P. C. Hammer & J. W. Hollingsworth, ``Trapezoidal methods of approximating solutions of differential equations,'' MTAC v. 9, 1955, p. 92-96. MR 0072547 (17:302g)

[12]

P. Henrici, Discrete Variable Methods in Ordinary Differential Equations, 1st edition, John Wiley & Sons, Inc., New York, 1962, p. 131. MR 0135729 (24:B1772)

[13]

T. Muir, A Treatise on the Theory of Determinants, Dover, New York, 1960, p. 437. MR 0114826 (22:5644)

[14]

L. Stoller & D. Morrison, ``A method for the numerical integration of ordinary differential equations,'' MTAC., v. 12, 1958, p. 269-272. MR 0102180 (21:974)

[15]

A. N. Kolmogorov & S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, v. 1, Graylock Press, Rochester, 1957, p. 43. MR 0085462 (19:44d)