104 citations · 358 across the 47 of their papers we have counts for
6 papers · 1 filter
Computing the Quadratic Numerical Range
Birgit Jacob, Lukas Vorberg, Christian Wyss
A novel algorithm for the computation of the quadratic numerical range is presented and exemplified yielding much better results in less time compared to the random vector sampling…
Port-Hamiltonian Systems Modelling in Electrical Engineering
Andreas Bartel, Markus Clemens, Michael Günther +2
The port-Hamiltonian modelling framework allows for models that preserve essential physical properties such as energy conservation or dissipative inequalities. If all subsystems ar…
Structure-preserving identification of port-Hamiltonian systems -- a sensitivity-based approach
Michael Günther, Birgit Jacob, Claudia Totzeck
We present a gradient-based calibration algorithm to identify a port-Hamiltonian system from given time-domain input-output data. The gradient is computed with the help of sensitiv…
Operator Splitting Based Dynamic Iteration for Linear Port-Hamiltonian Systems
Andreas Bartel, Michael Günther, Birgit Jacob +1
A dynamic iteration scheme for linear differential-algebraic port-Hamil\-tonian systems based on Lions-Mercier-type operator splitting methods is developed. The dynamic iteration i…
Dynamic iteration schemes and port-Hamiltonian formulation in coupled DAE circuit simulation
Michael Günther, Andreas Bartel, Birgit Jacob +1
Electric circuits are usually described by charge- and flux-oriented modified nodal analysis. In this paper, we derive models as port-Hamiltonian systems on several levels: overall…
Krylov type methods exploiting the quadratic numerical range
Andreas Frommer, Birgit Jacob, Karsten Kahl +2
The quadratic numerical range is a subset of the standard numerical range of a linear operator which still contains its spectrum. It arises naturally in operators which ha…