Electric Networks
From the fully automatic coffee machine to the central processing units, electronic circuits and computer chips enhance the quality of our daily life. Since these circuits consist of millions of network elements, like resistors, capacitors, inductors and transistors, chip design relies strongly on circuit simulation. The computed electric behavior is used by the designer to rate and validate new developements before production.
Miniaturization of single elements and ultra high integration is the ongoing trend to enhance the performance of all electronic devices. It leads to smaller devices driven by higher frequencies and smaller signals and overall it leads from micro- to nanotechnolgy.
In turn, modern circuit simulators have to face several challenges: higher packing densities result in larger systems with increased power density, and smaller signals result in larger noise/signal ratio and thus stronger influence of parasitic effects, which could have been neglected before.
This leads to our ongoing research in the field of circuit simulation:
- Speed up of circuit simulation by identification of active and latent parts in electric circuits (Multirate)
- Model Order Reduction for parasitic circuits
- Coupling of circuit simulators with distributed device models (Dynamic Iteration, Semiconductors, Electromagnetic Field Devices)
Former and ongoing projects
Cooperations
- Academic
- Markus Clemens, Bergische Universität Wuppertal
- Herbert de Gersem, K.U. Leuven, Belgium
- Caren Tischendorf, Universität zu Köln, Germany
- Industrial
Publications
- 2026
5591.
Finster, Rebecca; Grogorick, Linda; Robra-Bissantz, Susanne
Einheitliche Vorgaben, heterogene Praxis: Potenziale der NIS2-Umsetzung in einer öffentlichen Verwaltung
HMD - Praxis der Wirtschaftsinformatik
20265590.
Liu, Xiaobo; Schweitzer, Marcel
Field-of-values analysis of augmented Krylov methods for matrix $\varphi$-function actions
20265589.
Schmitz, Denise; Kayser, Lena-Sophie; Kramer, Matthias; Brinda, Torsten; Diethelm, Ira; Ferdinand, Rina
Gelingensbedingungen von Informatikfortbildungen für Lehrkräfte aller Fächer
In Katharina Scheiter, Dirk Richter, Daniel Pittich und Lara Halbrock, Editor
Seite 379-393
Herausgeber: Waxmann, Münster, New York
2026
379-3935588.
Abel, Ulrich; Acu, Ana-Maria; Heilmann, Margareta; Raşa, Ioan
Genuine Bernstein-Durrmeyer operators preserving 1 and x^j (II)
Approximation Theory and Special Functions, Seite 97--112
ATSF 2024
Ankara, Turkey
Herausgeber: Springer Nature Switzerland
2026ISBN: 978-3-031-93279-3
5587.
Vinod, Vivin; Zaspel, Peter
Improvise, Adapt, Overcome: An On-The-Fly Multifidelity Algorithm for Efficient Machine Learning
20265586.
Abel, Ulrich; Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
Kernels for composition of positive linear operators
Journal of Mathematical Analysis and Applications, 555 (2) :130052
2026
ISSN: 0022-247X5585.
Zeller, Diana; Bohrmann-Linde, Claudia
KI-Chatbots als Unterrichtswerkzeug: Eine Lehrkräftefortbildung zum Einsatz von KI-Chatbots im Chemieunterricht
CHEMKON, 33/3 :71-76
20265584.
Abel, Ulrich; Acu, Ana-Maria; Heilmann, Margareta; Raşa, Ioan
Korovkin type theorems for operators acting on functions of polynomial and exponential growth on $[0,ınfty)$
20265583.
Abel, Ulrich; Acu, Ana-Maria; Heilmann, Margareta; Raşa, Ioan
Korovkin type theorems for operators acting on functions of polynomial and exponential growth on $[0,ınfty)$
20265582.
Vinod, Vivin; Zaspel, Peter
LFaB: Low Fidelity as Bias for Active Learning in the Chemical Configuration Space
J. Chem. Theory Comput., 22 (11) :5637-5648
20265581.
Könen, David; Stiglmayr, Michael
Output-sensitive Complexity of Multi-Objective Integer Network Flow Problems
Journal of Combinatorial Optimization, 51 (14)
20265580.
Yuden, Kezang; Nemesch, Levin; Ruzika, Stefan
Parametric Biobjective Linear Programming
20265579.
Abel, Ulrich; Acu, Ana-Maria; Heilmann, Margareta; Raşa, Ioan
Positive linear operators fixing two prescribed functions
20265578.
Lopes, Gonçalo; Klamroth, Kathrin; Paquete, Luís
Solving hypervolume scalarizations for MOCO problems
20265577.
Schaub, Louise; Zaspel, Peter
Variational Free Energy Pivot Selection for Pivoted Cholesky
arXiv preprint
20265576.
Acu, A.M.; Heilmann, Margareta; Raşa, I.
Convergence of linking Durrmeyer type modifications of generalized Baskatov operators
Bulleting of the Malaysian Math. Sciences Society5575.
Ehrhardt, Matthias
Ein einfaches Kompartment-Modell zur Beschreibung von Revolutionen am Beispiel des Arabischen Frühlings5574.
Günther, Michael
Einführung in die Finanzmathematik5573.
Al{\i}, G; Bartel, A
Electrical RLC networks and diodes5572.
Gjonaj, Erion; Bahls, Christian Rüdiger; Bandlow, Bastian; Bartel, Andreas; Baumanns, Sascha; Belzen, F; Benderskaya, Galina; Benner, Peter; Beurden, MC; Blaszczyk, Andreas; others
Feldmann, Uwe, 143 Feng, Lihong, 515 De Gersem, Herbert, 341 Gim, Sebasti{\'a}n, 45, 333
MATHEMATICS IN INDUSTRY 14 :5875571.
Ehrhardt, Matthias
für Angewandte Analysis und Stochastik5570.
Ehrhardt, Matthias; Günther, Michael; Striebel, Michael
Geometric Numerical Integration Structure-Preserving Algorithms for Lattice QCD Simulations5569.
High order tensor product interpolation in the Combination Technique
preprint, 14 :255568.
Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Hybrid finite difference/pseudospectral methods for stochastic volatility models
19th European Conference on Mathematics for Industry, Seite 3885567.
Ehrhardt, Matthias; Csomós, Petra; Faragó, István; others
Invited Papers