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

Hairer, Ernst

doi:10.1007/BF01396178

Scientific article

French

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

Contributors

Hairer, Ernst

Published in

Numerische Mathematik, vol. 27, no. 3, p. 283-300

Publication date

1977

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.

UNIGE affiliation entities

Faculté des sciences / Section de mathématiques

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

Article (Published version)

Identifiers

PID : unige:12535
DOI : 10.1007/BF01396178

Additional URL for this publication

http://www.springerlink.com/content/r5773m2722607683/

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29/10/2024 17:26:09

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

Contributors

Published in

Publication date

Abstract

UNIGE affiliation entities

Citation (ISO format)

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Identifiers

Additional URL for this publication

Technical informations

Creation

First validation

Update

Status update

Last indexation