6 citations · 12 across the 6 of their papers we have counts for
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math.NA2022★ 6 cited
A Stiff MOL Boundary Control Problem for the 1D Heat Equation with Exact Discrete Solution
Jens Lang, Bernhard A. Schmitt
Method-of-lines discretizations are demanding test problems for stiff integration methods. However, for PDE problems with known analytic solution the presence of space discretizati…
math.DS2022★ 3 cited
Krylov Methods for Adjoint-Free Singular Vector Based Perturbations in Dynamical Systems
Jens Winkler, Michael Denhard, Bernhard A. Schmitt
The estimation of weather forecast uncertainty with ensemble systems requires a careful selection of perturbations to establish a reliable sampling of the error growth potential in…
math.OC2022
Implicit A-Stable Peer Triplets for ODE Constrained Optimal Control Problems
Jens Lang, Bernhard A. Schmitt
This paper is concerned with the construction and convergence analysis of novel implicit Peer triplets of two-step nature with four stages for nonlinear ODE constrained optimal con…