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Butcher algebras for Butcher systems

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Abstract

We investigate rigorously the properties of the Butcher upper and lower algebras introduced earlier. This investigation provides a new representation of the order conditions which leads to a new approach to simplifying conditions and a way to obtain new methods of high orders explicitly.

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  1. Department of Mathematics, Ivanovo State University, Ivanovo, Russia

    Sergey Khashin

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  1. Sergey Khashin
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Correspondence to Sergey Khashin.

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Khashin, S. Butcher algebras for Butcher systems. Numer Algor 63, 679–689 (2013). https://doi.org/10.1007/s11075-012-9647-x

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  • DOI: https://doi.org/10.1007/s11075-012-9647-x

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