3 papers
math.NA2026
Decoupling Runge-Kutta schemes for elliptic-parabolic problems
Robert Altmann, Abdullah Mujahid, Benjamin Unger
We study the construction and convergence of semi-explicit and iterative decoupling schemes for an elliptic-parabolic problem using higher-order Runge-Kutta methods. For the semi-e…
math.NA2025
Leveraging time and parameters for nonlinear model reduction methods
Silke Glas, Benjamin Unger
In this paper, we consider model order reduction (MOR) methods for problems with slowly decaying Kolmogorov -widths as, e.g., certain wave-like or transport-dominated problems.…
math.NA2023
Model reduction on manifolds: A differential geometric framework
Patrick Buchfink, Silke Glas, Bernard Haasdonk +1
Using nonlinear projections and preserving structure in model order reduction (MOR) are currently active research fields. In this paper, we provide a novel differential geometric f…