Continuous two-step Runge-Kutta methods for ordinary differential equations

Raffaele D'Ambrosio, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

25 Scopus citations


New classes of continuous two-step Runge-Kutta methods for the numerical solution of ordinary differential equations are derived. These methods are developed imposing some interpolation and collocation conditions, in order to obtain desirable stability properties such as A-stability and L-stability. Particular structures of the stability polynomial are also investigated.

Original languageEnglish (US)
Pages (from-to)169-193
Number of pages25
JournalNumerical Algorithms
Issue number2
StatePublished - Jun 1 2010



  • A-stability
  • L-stability
  • Quadratic stability functions
  • Runge-Kutta stability
  • Two-step collocation methods

ASJC Scopus subject areas

  • Applied Mathematics

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