15 citations · 60 across the 9 of their papers we have counts for
4 papers · 1 filter
On shape preserving semigroups
András Bátkai, Adam Bobrowski
Motivated by positivity-, monotonicity-, and convexity preserving differential equations, we introduce a definition of shape preserving operator semigroups and analyze their fundam…
Differential equation approximations of stochastic network processes: an operator semigroup approach
András Bátkai, Istvan Z. Kiss, Eszter Sikolya +1
The rigorous linking of exact stochastic models to mean-field approximations is studied. Starting from the differential equation point of view the stochastic model is identified by…
Decomposition of operator semigroups on W*-algebras
András Bátkai, Ulrich Groh, Dávid Kunszenti-Kovács +1
We consider semigroups of operators on a W-algebra and prove, under appropriate assumptions, the existence of a Jacobs-DeLeeuw-Glicksberg type decomposition. This decomposition…
The norm convergence of a Magnus expansion method
András Bátkai, Eszter Sikolya
We consider numerical approximation to the solution of non-autonomous evolution equations. The order of convergence of the simplest possible Magnus method will be investigated.