A Practical Approach for the Derivation of Algebraically Stable Two-Step Runge-Kutta Methods

Dajana Conte, Raffaele D'Ambrosio, Zdzislaw Jackiewicz, Beatrice Paternoster

Research output: Contribution to journalArticle

15 Scopus citations


We describe an algorithm, based on a new strategy recently proposed by Hewitt and Hill in the context of general linear methods, for the construction of algebraically stable two-step Runge-Kutta methods. Using this algorithm we obtained a complete characterization of algebraically stable methods with one and two stages.

Original languageEnglish (US)
Pages (from-to)65-77
Number of pages13
JournalMathematical Modelling and Analysis
Issue number1
StatePublished - Feb 1 2012



  • G-stability
  • algebraic stability
  • general linear methods
  • ordinary differential equations
  • two-step Runge-Kutta methods

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

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