18 citations · 50 across the 15 of their papers we have counts for
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EDP-convergence for a linear reaction-diffusion system with fast reversible reaction
Artur Stephan
We perform a fast-reaction limit for a linear reaction-diffusion system consisting of two diffusion equations coupled by a linear reaction. We understand the linear reaction-diffus…
EDP-convergence for nonlinear fast-slow reaction systems with detailed balance
Alexander Mielke, Mark A. Peletier, Artur Stephan
We consider nonlinear reaction systems satisfying mass-action kinetics with slow and fast reactions. It is known that the fast-reaction-rate limit can be described by an ODE with L…
Consistency and convergence for a family of finite volume discretizations of the Fokker--Planck operator
Martin Heida, Markus Kantner, Artur Stephan
We introduce a family of various finite volume discretization schemes for the Fokker--Planck operator, which are characterized by different weight functions on the edges. This fami…
Operator-Norm Convergence of the Trotter Product Formula on Hilbert and Banach Spaces: A Short Survey
Hagen Neidhardt, Artur Stephan, Valentin Zagrebnov
We give a review of results on the operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces, which is focused on the problem of its convergence rates.…