Search for highly stable two-step Runge-Kutta methods

R. D'Ambrosio, G. Izzo, Zdzislaw Jackiewicz

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


We describe the search for A-stable and algebraically stable two-step Runge Kutta methods of order p and stage order q=p or q=p-1. The search for A-stable methods is based on the Schur criterion applied for specific methods with stability polynomial of reduced degree. The search for algebraically stable methods is based on the criteria proposed recently by Hewitt and Hill.

Original languageEnglish (US)
Pages (from-to)1361-1379
Number of pages19
JournalApplied Numerical Mathematics
Issue number10
StatePublished - Oct 2012


  • A-stability
  • Algebraic stability
  • Linear stability analysis
  • Order conditions
  • Two-step Runge-Kutta methods

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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