Strong-stability-preserving, Hermite-Birkhoff time-discretization based on k step methods and 8-stage explicit Runge-Kutta methods of order 5 and 4

Nguyen-Thuhuong ,Nguyen-Batruong ,Vaillancourtrémi

doi:10.5555/2753880.2754133

Strong-stability-preserving, Hermite-Birkhoff time-discretization based on k step methods and 8-stage explicit Runge-Kutta methods of order 5 and 4

Nguyen-Thuhuong , Nguyen-Batruong + Show 1 more

https://doi.org/10.5555/2753880.2754133

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Journal: Journal of Computational and Applied Mathematics

Publication Date: Jun 1, 2014

#Explicit Runge-Kutta Methods #Runge-Kutta #Explicit Runge-Kutta Methods Of Order #Nonnegative Coefficients #Explicit Runge-Kutta #Step Methods #Purposes #Coefficients #Methods #Explicit Methods

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Ruuth and Spiteri have shown, in 2002, that fifth-order strong-stability-preserving (SSP) explicit Runge-Kutta (RK) methods with nonnegative coefficients do not exist. One of the purposes of the pr...

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Strong-stability-preserving, Hermite-Birkhoff time-discretization based on k step methods and 8-stage explicit Runge-Kutta methods of order 5 and 4