54 citations · 65 across the 6 of their papers we have counts for
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math.NA2016
Positivity for convective semi-discretizations
Imre Fekete, David I. Ketcheson, Lajos Lóczi
We propose a technique for investigating stability properties like positivity and forward invariance of an interval for method-of-lines discretizations, and apply the technique to…
math.NA2016
Exact optimal values of step-size coefficients for boundedness of linear multistep methods
Lajos Lóczi
Linear multistep methods (LMMs) applied to approximate the solution of initial value problems---typically arising from method-of-lines semidiscretizations of partial differential e…
math.NA2016
Dense output for strong stability preserving Runge-Kutta methods
David I. Ketcheson, Lajos Lóczi, Aliya Jangabylova +1
We investigate dense output formulae (also known as continuous extensions) for strong stability preserving (SSP) Runge-Kutta methods. We require that the dense output formula also…