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Attainable order of theP-stable family of certain two-step methods for periodic second order initial value problems

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Abstract

Certain two-step hybrid methods are considered for periodic second order initial value problems. Some authors have givenP-stable fourth order formula of this type. We shall give a necessary and sufficient condition for the sixth order formula, for whichP-stability analysis is carried out. Attainable order ofP-stable formula of the type is eventually established as four.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Zhengzhou University, China

    Tie-Shan Qi

  2. Department of Information Engineering, Faculty of Engineering, Nagoya University, 464-01, Nagoya, Japan

    Taketomo Mitsui

Authors
  1. Tie-Shan Qi
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  2. Taketomo Mitsui
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Additional information

This work was carried out while the first author was staying at the second author’s Department.

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Qi, TS., Mitsui, T. Attainable order of theP-stable family of certain two-step methods for periodic second order initial value problems. Japan J. Appl. Math. 7, 423–432 (1990). https://doi.org/10.1007/BF03167852

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  • DOI: https://doi.org/10.1007/BF03167852

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