Abstract
The Gautschi-type method has been proposed by Hochbruck and Lubich for oscillatory second-order differential equations. They conjecture that this method allows for a uniform error bound independent of the size of the system. The conjecture is proved in this note.
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References
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Grimm, V. A note on the Gautschi-type method for oscillatory second-order differential equations. Numer. Math. 102, 61–66 (2005). https://doi.org/10.1007/s00211-005-0639-9
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DOI: https://doi.org/10.1007/s00211-005-0639-9