We describe the construction of strong stability preserving (SSP) general linear methods (GLMs) for ordinary differential equations. This construction is based on the monotonicity criterion for SSP methods. This criterion can be formulated as a minimization problem, where the objective function depends on the Courant-Friedrichs-Levy (CFL) coefficient of the method, and the nonlinear constrains depend on the unknown remaining parameters of the methods. The solution to this constrained minimization problem leads to new SSP GLMs of high order and stage order.
Strong Stability Preserving general linear methods / Izzo, Giuseppe; Z., Jackiewicz. - (2014). (Intervento presentato al convegno 19th International Conference Mathematical Modelling and Analysis (MMA2014) tenutosi a Druskininkai, Lithuania nel 26-29/05/2014).
Strong Stability Preserving general linear methods
IZZO, GIUSEPPE;
2014
Abstract
We describe the construction of strong stability preserving (SSP) general linear methods (GLMs) for ordinary differential equations. This construction is based on the monotonicity criterion for SSP methods. This criterion can be formulated as a minimization problem, where the objective function depends on the Courant-Friedrichs-Levy (CFL) coefficient of the method, and the nonlinear constrains depend on the unknown remaining parameters of the methods. The solution to this constrained minimization problem leads to new SSP GLMs of high order and stage order.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
