26 citations · 26 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Operator splitting with spatial-temporal discretization
András Bátkai, Petra Csomós, Bálint Farkas +1
Continuing earlier investigations, we analyze the convergence of operator splitting procedures combined with spatial discretization and rational approximations.
Operator splitting for non-autonomous evolution equations
András Bátkai, Petra Csomós, Bálint Farkas +1
We provide general product formulas for the solutions of non-autonomous abstract Cauchy problems. The main technical tool is the application of evolution semigroup methods, allowin…