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Zusammenfassung

Linear k-step method (k2) with constant coefficients are derived in a “natural” way by choosing as the second characteristic polynomial a Schur polynomial whose coefficients depend on a certain set of parameters. The choice of these parameters is based on a result by Marden concerning the location of the zeros of a class of rational functions. For the (practically important) case k = 2 it is shown that the resulting class of methods is A -stable and has order p = 2. The trapezoidal rule and a class of one-step methods introduced by Lininger and Willoughby turn out to be degenerate cases of this class of two-step-methods.

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Literatur

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Copyright information

© Springer Basel AG 1974

Authors and Affiliations

  • H. Brunner
    • 1
  1. 1.HalifaxCanada

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