Summary
C-polynomials for rational approximation to the exponential function was introduced by Nørsett [7] to study stability properties of one-step methods. For one-step collocation methods theC-polynomial has a very simple form. In this paper we studyC-polynomials for multistep collocation methods and obtain results that generalize those in the one-step case, and provide a way to analyze linear stability of such methods.
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Lie, I. The stability function for multistep collocation methods. Numer. Math. 57, 779–787 (1990). https://doi.org/10.1007/BF01386443
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DOI: https://doi.org/10.1007/BF01386443