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Families of fifth order Nyström methods for y″=f(x, y) and intervals of periodicity

Nyström-Methoden fünfter Ordnung für y″=f(x, y) und ihre Periodizitätsintervalle

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Abstract

In this paper all fifth order Nyström methods fory″=f(x, y) based on four evaluations off are presented. Furthermore, we prove that out of these methods there is only one with a non-vanishing interval of periodicity.

Zusammenfassung

In dieser Arbeit werden sämtliche Nyström-Methoden fünfter Ordnung füry″=f(x, y) angegeben, welche vier Funktionsauswertungen pro Schritt benötigen. Es wird gezeigt, daß sich darunter nur eine einzige mit einem nichtleeren Periodizitätsintervall befindet.

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Authors and Affiliations

  1. Department of Mathematical Sciences, New Mexico State University, 8803, Las Cruces, NM, USA

    M. M. Chawla

  2. Department of Mathematics, Indian Institute of Technology, Hauz Khas, 110016, New Delhi, India

    S. R. Sharma

Authors
  1. M. M. Chawla
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  2. S. R. Sharma
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Chawla, M.M., Sharma, S.R. Families of fifth order Nyström methods for y″=f(x, y) and intervals of periodicity. Computing 26, 247–256 (1981). https://doi.org/10.1007/BF02243482

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  • DOI: https://doi.org/10.1007/BF02243482

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