Geodesic
A Résumé on Interval Runge-Kutta Methods
Mathematica Applicanda, Tome 40 (2012) no. 1, pp. 39-52.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The paper presents explicit and implicit interval methods of Runge-Kutta type. Such methods introduce the errors of methods. It means that this kind of errors are included in the interval solutions obtained. Applying these methods for solving the initial value problem in floating-point interval arithmetic we can obtain solutions in the form of intervals which contain all possible numerical errors. Numerical examples are presented.
DOI : 10.14708/ma.v40i1.272
Classification : 00A71, 65D17, 68U10
Mots-clés : interval methods for ODEs, Runge-Kutta methods, floating-point interval arithmetic 
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Andrzej Marciniak. A Résumé on Interval Runge-Kutta Methods. Mathematica Applicanda, Tome 40 (2012) no. 1, pp.  39-52. doi : 10.14708/ma.v40i1.272. http://geodesic.mathdoc.fr/articles/10.14708/ma.v40i1.272/

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