3 papers
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…
math.AP2020
Operator splitting for abstract Cauchy problems with dynamical boundary condition
Petra Csomós, Matthias Ehrhardt, Bálint Farkas
In this work we study operator splitting methods for a certain class of coupled abstract Cauchy problems, where the coupling is such that one of the problems prescribes a "boundary…