123 citations · 451 across the 36 of their papers we have counts for
43 papers
Operator splitting for semi-explicit differential-algebraic equations and port-Hamiltonian DAEs
Andreas Bartel, Malak Diab, Andreas Frommer +1
Operator splitting methods allow to split the operator describing a complex dynamical system into a sequence of simpler subsystems and treat each part independently. In the modelin…
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices
Andreas Frommer, Michele Rinelli, Marcel Schweitzer
We consider the problem of estimating the trace of a matrix function . In certain situations, in particular if cannot be well approximated by a low-rank matrix, combin…
Operator splitting for port-Hamiltonian systems
Andreas Frommer, Michael Günther, Björn Liljegren-Sailer +1
The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so…
MG-MLMC++ as a Variance Reduction Method for Estimating the Trace of a Matrix Inverse
Andreas Frommer, Mostafa Nasr Khalil
Hutchinson's method estimates the trace of a matrix function stochastically using samples , where the components of the random vectors obey an isotropic probab…
A flexible short recurrence Krylov subspace method for matrices arising in the time integration of port Hamiltonian systems and ODEs/DAEs with a dissipative Hamiltonian
Malak Diab, Andreas Frommer, Karsten Kahl
For several classes of mathematical models that yield linear systems, the splitting of the matrix into its Hermitian and skew Hermitian parts is naturally related to properties of…
Deflated Multigrid Multilevel Monte Carlo
Andreas Frommer, Gustavo Ramirez-Hidalgo
In lattice QCD, the trace of the inverse of the discretized Dirac operator appears in the disconnected fermion loop contribution to an observable. As simulation methods get more an…