26 citations · 42 across the 8 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
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.NA2018★ 13 cited
On the zero-stability of multistep methods on smooth nonuniform grids
Gustaf Söderlind, Imre Fekete, István Faragó
In order to be convergent, linear multistep methods must be zero stable. While constant step size theory was established in the 1950's, zero stability on nonuniform grids is less w…