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Méthodes de Nyström pour l'équation différentielle y''=f(x,y)

ContributorsHairer, Ernst
Published inNumerische Mathematik, vol. 27, no. 3, p. 283-300
Publication date1977
Abstract

In a recent paper (Hairer-Wanner [1]) we have given a theory with which it is easy to calculate the order conditions for Nyström methods. Here we show how it is possible to solve this system of non-linear algebraic equations. Moreover we present all methods of orders for s=2, 3, 4 (s-1 indicates the number of function evaluations per step); methods with one parameter of orders for s=5, 6 and some special methods of order s-1 for s=8, 9.

Citation (ISO format)
HAIRER, Ernst. Méthodes de Nyström pour l’équation différentielle y″=f(x,y). In: Numerische Mathematik, 1977, vol. 27, n° 3, p. 283–300. doi: 10.1007/BF01396178
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