21 citations · 41 across the 12 of their papers we have counts for
7 papers · 1 filter
Edge-based Katz centralities for spatio-temporal multiplex networks
Kai Bergermann, Francesco Gravili, Valeria Simoncini +1
Katz centrality is a well-established measure to identify and rank the most important nodes in complex networks by means of a linear system solve. Recent works have developed notio…
Deterministic sketching for Krylov subspace methods
Kai Bergermann
Randomized sketching is currently introduced into every area of numerical linear algebra. In Krylov subspace methods, it allows runtime savings at the cost of small accuracy reduct…
Gradient flow-based modularity maximization for community detection in multiplex networks
Kai Bergermann, Martin Stoll
We propose two methods for the unsupervised detection of communities in undirected multiplex networks. These networks consist of multiple layers that record different relationships…
A nonlinear spectral core-periphery detection method for multiplex networks
Kai Bergermann, Martin Stoll, Francesco Tudisco
Core-periphery detection aims to separate the nodes of a complex network into two subsets: a core that is densely connected to the entire network and a periphery that is densely co…
Adaptive rational Krylov methods for exponential Runge--Kutta integrators
Kai Bergermann, Martin Stoll
We consider the solution of large stiff systems of ordinary differential equations with explicit exponential Runge--Kutta integrators. These problems arise from semi-discretized se…
Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors
Kai Bergermann, Carsten Deibel, Roland Herzog +3
The Cahn--Hilliard equations are a versatile model for describing the evolution of complex morphologies. In this paper we present a computational pipeline for the numerical solutio…
An Extension of the Strain Transfer Principle for Fiber Reinforced Materials
Felix Ospald, Kai Bergermann, Roland Herzog
Fiber optical strain sensors are used to measure the strain at a particular sensor position inside the fiber. In order to deduce the strain in the surrounding matrix material, one…