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Precision and Stability Analysis of Euler, Runge-Kutta and Incursive Algorithms for the Harmonic Oscillator

Daniel M. Dubois and Eugenia Kalisz

p. 21-36

    Abstract

    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.

    Index

    Keywords

    recursion, incursion, difference equations, numerical simulation, precision and stability

    Text

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    References

    Bibliographical reference

    Daniel M. Dubois and Eugenia Kalisz, « Precision and Stability Analysis of Euler, Runge-Kutta and Incursive Algorithms for the Harmonic Oscillator », CASYS, 14 | 2004, 21-36.

    Electronic reference

    Daniel M. Dubois and Eugenia Kalisz, « Precision and Stability Analysis of Euler, Runge-Kutta and Incursive Algorithms for the Harmonic Oscillator », CASYS [Online], 14 | 2004, Online since 08 October 2024, connection on 10 January 2025. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=2428

    Authors

    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

    By this author

    Eugenia Kalisz

    Department of Computer Science and Engineering "Politehnica" University of Bucharest Spl. Independentei 313, Bucharest, Romania

    By this author

    Copyright

    CC BY-SA 4.0 Deed