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KIAM Preprint № 23, Moscow, 2019
Authors: Konev S. A.
The development of Butcher rooted trees theory for reduced (m,k)-method
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
Publication language: russian,  pages: 27
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Konev Stanislav Andreevich,  orcid.org/0000-0002-0418-536XKIAM RAS