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Determination d'un pas optimum d'integration pour la methode de Simpson

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  • Vergnes, J.

Abstract

La mise en oeuvre sur ordinateur d'une méthode d'intégration numérique conduit nécessairement à un résultat entaché d'une erreur dépendant à la fois de la formule d'approximation choisie et de l'arithmétique à précision limitée de la machine [2,3,5,6,7].

Suggested Citation

  • Vergnes, J., 1980. "Determination d'un pas optimum d'integration pour la methode de Simpson," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 22(3), pages 177-188.
    • Handle: RePEc:eee:matcom:v:22:y:1980:i:3:p:177-188
    DOI: 10.1016/0378-4754(80)90044-0
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    References listed on IDEAS

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    1. Vignes, J., 1978. "New methods for evaluating the validity of the results of mathematical computations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 20(4), pages 227-249.
    2. Vergnes, J. & Dumontet, J., 1979. "Finding an optimal partition for a numerical integration using the trapezoidal rule," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(2), pages 231-241.
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    Cited by:

    1. Vignes, J., 1993. "A stochastic arithmetic for reliable scientific computation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(3), pages 233-261.

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