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math.NA2018★ 26 cited
Embedded error estimation and adaptive step-size control for optimal explicit strong stability preserving Runge--Kutta methods
Sidafa Conde, Imre Fekete, John N. Shadid
We construct a family of embedded pairs for optimal strong stability preserving explicit Runge-Kutta methods of order to be used to obtain numerical solution of s…
math.NA2017★ 1 cited
Implicit and Implicit-Explicit Strong Stability Preserving Runge-Kutta Methods with High Linear Order
Sidafa Conde, Sigal Gottlieb, Zachary J. Grant +1
When evolving in time the solution of a hyperbolic partial differential equation, it is often desirable to use high order strong stability preserving (SSP) time discretizations. Th…