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Stability properties of collocation methods

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Abstract

Lower bounds for α are given for which equidistant s-point collocation methods areA(α)-stable for arbitrarys.

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References

  1. H. A. Watts and L. F. Shampine,A-stable block implicit one-step methods, BIT 12, 252–266 (1972).

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  2. K. Wright,Some relationships between implicit Runge-Kutta, collocation and Lanczos τ methods, and their stability properties, BIT 10, 217–227 (1970).

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Authors and Affiliations

  1. Institut für Angewandte und Numerische Mathematik, TU-Wien, Wiedner Hauptstrasse 6-10, A-1040, Wien, Austria

    Josef Schneid

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  1. Josef Schneid
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Schneid, J. Stability properties of collocation methods. BIT 28, 184–187 (1988). https://doi.org/10.1007/BF01934705

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  • DOI: https://doi.org/10.1007/BF01934705

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