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A family of two-step almostP-stable methods with phase-lag of order infinity for the numerical integration of second order periodic initial-value problems

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Abstract

A family of two-step, almostP-stable methods with phase-lag of order infinity is developed for the numerical integration of second order periodic initial-value problems. The method has algebraic order six. Extensive numerical testing indicates that this family of methods is generally more accurate than other two-step methods, that have been proposed.

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  1. Informatics Laboratory, Agricultural University of Athens, Iera Odos 75, 118 55, Athens, Greece

    T. E. Simos

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  1. T. E. Simos
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Simos, T.E. A family of two-step almostP-stable methods with phase-lag of order infinity for the numerical integration of second order periodic initial-value problems. Japan J. Indust. Appl. Math. 10, 289 (1993). https://doi.org/10.1007/BF03167577

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  • DOI: https://doi.org/10.1007/BF03167577

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