3 papers
math.NA2026
A parallel batch greedy algorithm in reduced basis methods: Convergence rates and numerical results
Niklas Reich, Karsten Urban, Jürgen Vorloeper
The "classical" (weak) greedy algorithm is widely used within model order reduction in order to compute a reduced basis in the offline training phase: An a posteriori error estimat…
math.NA2025
Fractional differential equations: non-constant coefficients, simulation and model reduction
Ruben Aylwin, Göksu Oruc, Karsten Urban
We consider boundary value problems with Riemann-Liouville fractional derivatives of order with non-constant diffusion and reaction coefficients. A variational formul…
math.NA2025
A unified framework for the analysis, numerical approximation and model reduction of linear operator equations, Part I: Well-posedness in space and time
Moritz Feuerle, Richard Löscher, Olaf Steinbach +1
We present a unified framework to construct well-posed formulations for large classes of linear operator equations including elliptic, parabolic and hyperbolic partial differential…