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
5553.
Kunze, Markus; Mui, Jonathan; Ploss, David
Elliptic operators with non-local Wentzell-Robin boundary conditions
Journal of Spectral Theory
Februar 20265552.
Tapera, Michael; Savvidis, Athanasios; Meysing, Cedric; Gómez-Suárez, Adrián; Kirsch, S. F.
Oxidative Cleavage of β-Substituted Primary Alcohols in Flow
Organic Letters
Januar 2026
Herausgeber: ACS
ISSN: 1523-70525551.
Elghazi, Bouchra; Jacob, Birgit; Zwart, Hans
Boundary control systems on a one-dimension spatial domain
20265550.
Könen, David; Stiglmayr, Michael
Output-sensitive Complexity of Multi-Objective Integer Network Flow Problems
Journal of Combinatorial Optimization, 51 (14)
20265549.
Acu, A.M.; Heilmann, Margareta; Raşa, I.
Convergence of linking Durrmeyer type modifications of generalized Baskatov operators
Bulleting of the Malaysian Math. Sciences Society5548.
Ehrhardt, Matthias
Ein einfaches Kompartment-Modell zur Beschreibung von Revolutionen am Beispiel des Arabischen Frühlings5547.
Günther, Michael
Einführung in die Finanzmathematik5546.
Al{\i}, G; Bartel, A
Electrical RLC networks and diodes5545.
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 :5875544.
Ehrhardt, Matthias
für Angewandte Analysis und Stochastik5543.
Ehrhardt, Matthias; Günther, Michael; Striebel, Michael
Geometric Numerical Integration Structure-Preserving Algorithms for Lattice QCD Simulations5542.
High order tensor product interpolation in the Combination Technique
preprint, 14 :255541.
Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Hybrid finite difference/pseudospectral methods for stochastic volatility models
19th European Conference on Mathematics for Industry, Seite 3885540.
Ehrhardt, Matthias; Csomós, Petra; Faragó, István; others
Invited Papers5539.
Günther, Michael
Lab Exercises for Numerical Analysis and Simulation I: ODEs5538.
Ehrhardt, Matthias; Günther, Michael
Mathematical Modelling of Dengue Fever Epidemics5537.
Ehrhardt, Matthias
Mathematical Modelling of Monkeypox Epidemics5536.
Ehrhardt, Matthias; Günther, Michael
Mathematical Study of Grossman's model of investment in health capital5535.
Bartel, PD Dr A
Mathematische Modellierung in Anwendungen5534.
Model Order Reduction Techniques for Basket Option Pricing5533.
Ehrhardt, Matthias; Günther, Michael
Modelling Stochastic Correlations in Finance5532.
Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit; Maten, Jan
Modelling, Analysis and Simulation with Port-Hamiltonian Systems5531.
Maten, E Jan W; Ehrhardt, Matthias
MS40: Computational methods for finance and energy markets
19th European Conference on Mathematics for Industry, Seite 3775530.
Putek, Piotr; PAPLICKI, Piotr; Pulch, Roland; Maten, Jan; Günther, Michael; PA{\L}KA, Ryszard
NONLINEAR MULTIOBJECTIVE TOPOLOGY OPTIMIZATION AND MULTIPHYSICS ANALYSIS OF A PERMANENT-MAGNET EXCITED SYNCHRONOUS MACHINE5529.
Günther, Michael; Wandelt, Dipl Math Mich{\`e}le
Numerical Analysis and Simulation I: ODEs