6 citations · 7 across the 16 of their papers we have counts for
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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).…
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…
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…
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…
Matrix pencils with coefficients that have positive semidefinite Hermitian part
Christian Mehl, Volker Mehrmann, Michal Wojtylak
We analyze when an arbitrary matrix pencil is equivalent to a dissipative Hamiltonian pencil and show that this heavily restricts the spectral properties. In order to relax the spe…
A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers
Murat Manguoglu, Volker Mehrmann
We propose a two-level iterative scheme for solving general sparse linear systems. The proposed scheme consists of a sparse preconditioner that increases the skew-symmetric part an…