This article is cited in 1 paper

The development of Butcher rooted trees theory for reduced $(m, k)$-method

S. A. Konev


Abstract: The extension of the Burcher rooted trees theory for reduced $(m, k)$-methods is proposed. The new concept of 'color' for the stages of the $(m, k)$-method is introduced. Based on this concept the general rules are formulated on how to obtain order conditions. Obtained theoretical results are in good compliance with known particular results from other researchers.

Keywords: stiff systems, Butcher trees, Rosenbrock methods, $(m, k)$-methods, order conditions.

DOI: 10.20948/prepr-2019-23

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