Strong stability preserving transformed DIMSIMs

Giuseppe Izzo, Zdzislaw Jackiewicz

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


In this paper we investigate the strong stability preserving (SSP) property of transformed diagonally implicit multistage integration methods (DIMSIMs). Within this class, examples of SSP methods of order p=1,2,3 and 4 and stage order q=p have been determined, and also suitable starting and finishing procedure have been constructed. The numerical experiments performed on a set of test problems have shown that SSP transformed DIMSIMs can be more accurate and competitive with SSP Runge–Kutta methods of the same order.

Original languageEnglish (US)
Pages (from-to)174-188
Number of pages15
JournalJournal of Computational and Applied Mathematics
StatePublished - Dec 1 2018


  • Construction of methods
  • General linear methods
  • Monotonicity
  • Strong stability preserving
  • Transformed methods

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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