activity
20052022
most citedNumerical methods to compute a minimal realization of a port-Hamiltonian system

6 citations · 7 across the 13 of their papers we have counts for

collaborators

24 papers

math.OC20221 cited

Linear port-Hamiltonian DAE systems revisited

Arjan van der Schaft, Volker Mehrmann

Port-Hamiltonian systems theory provides a systematic methodology for the modeling, simulation and control of multi-physics systems. The incorporation of algebraic constraints has…

math.NA2022

Discretization of inherent ODEs and the geometric integration of DAEs with symmetries

Peter Kunkel, Volker Mehrmann

Discretization methods for differential-algebraic equations (DAEs) are considered that are based on the integration of an associated inherent ordinary differential equation (ODE).…

math.OC2022

A Lagrange subspace approach to dissipation inequalities

Arjan van der Schaft, Volker Mehrmann

The standard dissipation inequality for passivity is extended from storage functions to general Lagrange subspaces. This is shown to have some interesting consequences. A classical…

math.NA2022

Local and global canonical forms for differential-algebraic equations with symmetries

Peter Kunkel, Volker Mehrmann

Linear time-varying differential-algebraic equations with symmetries are studied. The structures that we address are self-adjoint and skew-adjoint systems. Local and global canonic…

math.NA2021

Error Analysis of a Model Order Reduction Framework for Financial Risk Analysis

Andreas Binder, Onkar Jadhav, Volker Mehrmann

A parametric model order reduction (MOR) approach for simulating the high dimensional models arising in financial risk analysis is proposed on the basis of the proper orthogonal de…

math.NA2021

Computation of the nearest structured matrix triplet with common null space

Nicola Guglielmi, Volker Mehrmann

We study computational methods for computing the distance to singularity, the distance to the nearest high index problem, and the distance to instability for linear differential-al…