3 papers
math.DS2026
Partial Observation of Linear Systems with the Mori-Zwanzig Formalism
Fan Wang, Peter Benner, Jan Heiland
The Mori-Zwanzig formalism provides a systematic framework for deriving reduced-order model of dynamical systems when only part of the state is observed, but its practical use is o…
math.NA2026
A-priori error estimation for space-time Galerkin POD for linear evolution problems
Carmen GräÃle, Jan Heiland, Jannis Marquardt
In this paper, we propose an a-priori error estimate for the model order reduction (MOR) method of space-time proper orthogonal decomposition (space-time POD). The original space-t…
math.NA2025
Barycentric rational approximation for learning the index of a dynamical system from limited data
Davide Pradovera, Ion Victor Gosea, Jan Heiland
We consider the task of data-driven identification of dynamical systems, specifically for systems whose behavior at large frequencies is non-standard, as encoded by a non-trivial r…