TY - GEN
T1 - Construction of strong stability preserving general linear methods
AU - Izzo, Giuseppe
AU - Jackiewicz, Zdzislaw
N1 - Publisher Copyright:
© 2015 AIP Publishing LLC.
PY - 2015/3/10
Y1 - 2015/3/10
N2 - 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.
AB - 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.
KW - Courant-Friedrichs-Levy condition
KW - General linear methods
KW - Shu-Osher representation
KW - monotonicity
KW - strong stability preserving
UR - http://www.scopus.com/inward/record.url?scp=84939648015&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84939648015&partnerID=8YFLogxK
U2 - 10.1063/1.4912441
DO - 10.1063/1.4912441
M3 - Conference contribution
AN - SCOPUS:84939648015
T3 - AIP Conference Proceedings
BT - Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
A2 - Simos, Theodore E.
A2 - Simos, Theodore E.
A2 - Simos, Theodore E.
A2 - Tsitouras, Charalambos
PB - American Institute of Physics Inc.
T2 - International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
Y2 - 22 September 2014 through 28 September 2014
ER -