Strong Stability Preserving Two-step Runge–Kutta Methods
Strong Stability Preserving Two-step Runge–Kutta Methods
We investigate the strong stability preserving (SSP) property of two-step Runge-Kutta (TSRK) methods. We prove that all SSP TSRK methods belong to a particularly simple subclass of TSRK methods, in which stages from the previous step are not used. We derive simple order conditions for this subclass. Whereas explicit SSP …