Precision and Stability Analysis of Euler, Runge-Kutta and Incursive Algorithms for the Harmonic Oscillator
p. 21-36
Résumé
This paper deals with a comparison from the precision and stability point of view of different discrete algorithms for simulating differential equation systems, applied in the case of a simple differential system: the harmonic oscillator. It points out the relation between the classical and incursive algorithms and shows the effect of incursion on the precision and stability.
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Référence papier
Daniel M. Dubois et Eugenia Kalisz, « Precision and Stability Analysis of Euler, Runge-Kutta and Incursive Algorithms for the Harmonic Oscillator », CASYS, 14 | 2004, 21-36.
Référence électronique
Daniel M. Dubois et Eugenia Kalisz, « Precision and Stability Analysis of Euler, Runge-Kutta and Incursive Algorithms for the Harmonic Oscillator », CASYS [En ligne], 14 | 2004, mis en ligne le 20 August 2024, consulté le 20 September 2024. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=2428
Auteurs
Daniel M. Dubois
Centre for Hyperincursion and Anticipation in Ordered Systems, CHAOS asbl, lnstitute of Mathematics, B37, University of Liège, Grande Traverse 12, B-4000 Liège 1, Belgium
Eugenia Kalisz
Department of Computer Science and Engineering "Politehnica" University of Bucharest Spl. Independentei 313, Bucharest, Romania