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
- 2019
4117.
Hartikainen, Markus; Miettinen, Kaisa; Klamroth, Kathrin
Interactive nonconvex Pareto navigator for multiobjective optimization
European Journal of Operational Research, 275 (1) :238-251
20194116.
Pulch, Roland; Putek, Piotr; De Gersem, Herbert; Gillon, Renaud
Inverse modeling: Glue-Package-Die problem
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 279–289
Herausgeber: Springer Cham
2019
279–2894115.
Ehrhardt, Matthias; Vázquez, Carlos
Jump-diffusion models with two stochastic factors for pricing swing options in electricity markets with partial-integro differential equations
Applied Numerical Mathematics, 139 :77–92
2019
Herausgeber: North-Holland4114.
Ehrhardt, Matthias; Vázquez, Carlos
Jump-diffusion models with two stochastic factors for pricing swing options in electricity markets with partial-integro differential equations
Applied Numerical Mathematics, 139 :77--92
2019
Herausgeber: North-Holland4113.
Ehrhardt, Matthias; Vázquez, Carlos
Jump-diffusion models with two stochastic factors for pricing swing options in electricity markets with partial-integro differential equations
Applied Numerical Mathematics, 139 :77–92
2019
Herausgeber: North-Holland4112.
Kleefeldt, Simon; Bohrmann-Linde, Claudia
Keep Track of The Heat
20194111.
Griebel, M.; Rieger, C.; Zaspel, Peter
Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations
IJUQ, 9 (5)
20194110.
Jensen, Per
Linear and bent triatomic molecules are not qualitatively different!
Canadian Journal of Physics :1-6
2019
Herausgeber: NRC Research Press4109.
Bolten, Matthias; Claus, L.
Local Fourier Analysis of multigrid methods for the Stokes problem
PAMM, 19 :e201900394
20194108.
Bolten, M.; Claus, L.
Local Fourier Analysis of multigrid methods for the Stokes problem
PAMM, 19 :e201900394
20194107.
Bolten, M.; Claus, L.
Local Fourier Analysis of multigrid methods for the Stokes problem
PAMM, 19 :e201900394
20194106.
Glück, Jochen; Wolff, Manfred P. H.
Long-term analysis of positive operator semigroups via asymptotic domination
Positivity, 23 (5) :1113--1146
20194105.
Ehrhardt, Matthias; Gašper, Ján; Kilianová, Sona
Mathematical Modeling of an SIR-based infectious disease model with vaccination and waning immunity
20194104.
Gerlach, Moritz; Glück, Jochen
Mean ergodicity vs weak almost periodicity
Studia Math., 248 (1) :45--56
20194103.
[german] Yurdanur, Yasemin; Tausch, Michael W.
Metamorphoses of an Experiment - From Hightech UV Immersion Lamp Reactor to Low-Cost TicTac\(^{®}\)-Cell
{CHEMKON}, 26 (3) :125--129
2019
Herausgeber: Wiley4102.
Schulze, Britta; Stiglmayr, Michael; Klamroth, Kathrin
Multi-Objective Unconstrained Combinatorial Optimization: A Polynomial Bound on the Number of Extreme Supported Solutions
Journal of Global Optimization, 74 (3) :495–522
20194101.
Friedhoff, S.; Hahne, J.; Schöps, S.
Multigrid-reduction-in-time for Eddy Current problems
PAMM, 19 (1) :e201900262
20194100.
Friedhoff, S.; Hahne, J.; Schöps, S.
Multigrid-reduction-in-time for Eddy Current problems
PAMM, 19 (1) :e201900262
20194099.
Friedhoff, S.; Hahne, J.; Schöps, S.
Multigrid-reduction-in-time for Eddy Current problems
PAMM, 19 (1) :e201900262
20194098.
Hachtel, Christoph; Bartel, Andreas; Günther, Michael; Sandu, Adrian
Multirate implicit Euler schemes for a class of differential{\textendash}algebraic equations of index-1
JCAM :112499
September 2019
Herausgeber: Elsevier {BV}4097.
Bartel, Andreas; Günther, Michael
Multirate Schemes
Novel Mathematics Inspired by Industrial Challenges :5
20194096.
Nanoelectronic Coupled Problems Solutions
In ter Maten, E. J. W. and Brachtendorf, H.-G. and Pulch, R. and Schoenmaker, W. and De Gersem, H., Editor, Band 29 aus Mathematics in Industry
Herausgeber: Springer
20194095.
Tischendorf, Caren; Maten, E. Jan W.; Schoenmaker, Wim
Nanoelectronic coupled problems solutions – Highlights from the nanoCOPS project
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 1–21
Herausgeber: Springer Cham
2019
1–214094.
Demirkan, Reşat-Anıl
Neuartige Emulgatoren und deren Eignung für Rapsöl und Rapsölmethylester Emulsionen
20194093.
Schöps, Sebastian; Duque Guerra, David J; De Gersem, Herbert; Bartel, Andreas; Günther, Michael; Pulch, Roland
Non-Intrusive Methods for the Cosimulation of Coupled Problems
Nanoelectronic Coupled Problems Solutions :131--159
2019
Herausgeber: Springer International Publishing