Strong Stability Preserving Multistage Integration Methods

Giuseppe Izzo, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

In this paper we systematically investigate explicit strong stability preserving (SSP) multistage integration methods, a subclass of general linear methods (GLMs), of order p and stage order q≤p. Characterization of this class of SSP GLMs is given and examples of SSP methods of order p≤4 and stage order q=1, 2,.. , p are provided. Numerical tests are reported which confirm that the constructed methods achieve the expected order of accuracy and preserve monotonicity.

Original languageEnglish (US)
Pages (from-to)552-577
Number of pages26
JournalMathematical Modelling and Analysis
Volume20
Issue number5
DOIs
StatePublished - Sep 3 2015

Keywords

  • general linear methods
  • monotonicity
  • multistage integration methods
  • strong stability preserving
  • two-step Runge–Kutta methods

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

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