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.
Construction of strong stability preserving general linear methods / Izzo, Giuseppe; Z., Jackiewicz. - (2014). (Intervento presentato al convegno INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM) 2014 tenutosi a Rodhes, Greece nel 22-28/09/2014).
Construction of strong stability preserving general linear methods
IZZO, GIUSEPPE;
2014
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
