Construction of strong stability preserving general linear methods

Giuseppe Izzo, Zdzislaw Jackiewicz

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

We describe a tool for investigating the strong stability preserving (SSP) general linear methods (GLMs) with two external stages and s internal stages, and derive example of methods which have larger effective Courant-Friedrichs-Levy coefficients than the class of two-step Runge-Kutta (TSRK) methods introduced by Jackiewicz and Tracogna, whose SSP properties were analyzes recently by Ketcheson, Gottlieb, and MacDonald. Numerical examples illustrate that the class of methods derived in this paper achieve the expected order of accuracy and do not produce spurious oscillations for discretizations of hyperbolic conservation laws, when combined with appropriate discretizations in spatial variables.

Original languageEnglish (US)
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Volume1648
ISBN (Print)9780735412873
DOIs
StatePublished - Mar 10 2015
EventInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
Duration: Sep 22 2014Sep 28 2014

Other

OtherInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
CountryGreece
CityRhodes
Period9/22/149/28/14

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Keywords

  • Courant-Friedrichs-Levy condition
  • General linear methods
  • monotonicity
  • Shu-Osher representation
  • strong stability preserving

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Izzo, G., & Jackiewicz, Z. (2015). Construction of strong stability preserving general linear methods. In AIP Conference Proceedings (Vol. 1648). [150011] American Institute of Physics Inc.. https://doi.org/10.1063/1.4912441