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math.NA2022
A second-order Magnus-type integrator for evolution equations with delay
Petra Csomós, Dávid Kunszenti-Kovács
We rewrite abstract delay equations to nonautonomous abstract Cauchy problems allowing us to introduce a Magnus-type integrator for the former. We prove the second-order convergenc…
math.NA2021
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems
Petra Csomós, Bálint Farkas, Balázs Kovács
We derive a numerical method, based on operator splitting, to abstract parabolic semilinear boundary coupled systems. The method decouples the linear components which describe the…