Strong stability preserving transformed DIMSIMs

Giuseppe Izzo, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume343
DOIs
StatePublished - Dec 1 2018

Fingerprint

Strong Stability
Runge-Kutta Methods
Test Problems
Numerical Experiment
Experiments

Keywords

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

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Cite this

Strong stability preserving transformed DIMSIMs. / Izzo, Giuseppe; Jackiewicz, Zdzislaw.

In: Journal of Computational and Applied Mathematics, Vol. 343, 01.12.2018, p. 174-188.

Research output: Contribution to journalArticle

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