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
- 2015
3093.
Ehrhardt, Matthias
On Mayfield’s stability proof for the discretized transparent boundary condition for the parabolic equation
Applied Mathematics Letters, 44 :45–49
2015
Herausgeber: Pergamon3092.
Teng, Long; Ehrhardt, Matthias; G\"unther, Michael
On the {Heston} model with Stochastic Correlation
IJTAF, 19 (06)
September 20153091.
Heilmann, Margareta; Raşa, Ioan
On the decomposition of Bernstein operators
Numerical Functional Analysis and Optimization, 36 (1) :72-85
20153090.
Klamroth, Kathrin; Lacour, Renaud; Vanderpooten, Daniel
On the representation of the search region in multi-objective optimization
European Journal of Operational Research, 245 :767-778
20153089.
Augner, Björn; Jacob, Birgit; Laasri, Hafida
On the right multiplicative perturbation of non-autonomous {L\verb=^=p}-maximal regularity
J. Operator Theory, 74 (2) :391--415
20153088.
Augner, Björn; Jacob, Birgit; Laasri, Hafida
On the right multiplicative perturbation of non-autonomous L^p-maximal regularity
J. Operator Theory, 74 (2) :391--415
20153087.
Winklmeier, Monika; Wyss, Christian
On the spectral decomposition of dichotomous and bisectorial operators
Integral Equations Operator Theory, 82 (1) :119-150
20153086.
Glück, Jochen
On weak decay rates and uniform stability of bounded linear operators
Arch. Math. (Basel), 104 (4) :347--356
20153085.
Ait-Helal, W.; Beeldens, Anne; Boonen, E.; Borbon, A.; Bor{é}ave, A.; Cazaunau, Mathieu; Chen, H.; Da{{\"e}}le, V.; Dupart, Y.; Gaimoz, C.; Gallus, Michael; George, Christian; Grand, N.; Grosselin, B.; Herrmann, Hartmut; Ifang, Stefanie; Kurtenbach, Ralf; Maille, M.; Marjanovic, I.; Mellouki, Abdelwahid; Miet, K.; Mothes, F.; Poulain, L.; Rabe, R.; Zapf, P.; Kleffmann, Jörg; Doussin, Jean-Fran{\c{c}}ois
On-road measurements of NMVOCs and NO\(_{x}\): Determination of light-duty vehicles emission factors from tunnel studies in Brussels city center
Atmospheric Environment, 122 :799-807
2015
Herausgeber: Pergamon3084.
Ait-Helal, W.; Beeldens, Anne; Boonen, E.; Borbon, A.; Bor{é}ave, A.; Cazaunau, Mathieu; Chen, H.; Da{{\"e}}le, V.; Dupart, Y.; Gaimoz, C.; Gallus, Michael; George, Christian; Grand, N.; Grosselin, B.; Herrmann, Hartmut; Ifang, Stefanie; Kurtenbach, Ralf; Maille, M.; Marjanovic, I.; Mellouki, Abdelwahid; Miet, K.; Mothes, F.; Poulain, L.; Rabe, R.; Zapf, P.; Kleffmann, Jörg; Doussin, Jean-Fran{\c{c}}ois
On-road measurements of NMVOCs and NO\(_{x}\): Determination of light-duty vehicles emission factors from tunnel studies in Brussels city center
Atmospheric Environment, 122 :799-807
2015
Herausgeber: Pergamon3083.
Ait-Helal, W.; Beeldens, Anne; Boonen, E.; Borbon, A.; Boréave, A.; Cazaunau, Mathieu; Chen, H.; Daële, V.; Dupart, Y.; Gaimoz, C.; Gallus, Michael; George, Christian; Grand, N.; Grosselin, B.; Herrmann, Hartmut; Ifang, Stefanie; Kurtenbach, Ralf; Maille, M.; Marjanovic, I.; Mellouki, Abdelwahid; Miet, K.; Mothes, F.; Poulain, L.; Rabe, R.; Zapf, P.; Kleffmann, Jörg; Doussin, Jean-François
On-road measurements of NMVOCs and NOx: Determination of light-duty vehicles emission factors from tunnel studies in Brussels city center
Atmospheric Environment, 122 :799-807
2015
Herausgeber: Pergamon3082.
Eisner, Tanja; Farkas, Bálint; Haase, Markus; Nagel, Rainer
Operator Theoretic Aspects of Ergodic Theory
Band 272 aus Graduate Text in Mathematics
Herausgeber: Springer
20153081.
Ankirchner, Stefan; Kruse, Thomas
Optimal position targeting with stochastic linear-quadratic costs
Banach Center Publ, 104 (1) :9--24
20153080.
Ankirchner, Stefan; Kruse, Thomas
Optimal position targeting with stochastic linear-quadratic costs
Banach Center Publications, 104 (1) :9–24
2015
Herausgeber: Institute of Mathematics, Polish Academy of Sciences3079.
Kruse, Thomas; Strack, Philipp
Optimal stopping with private information
Journal of Economic Theory, 159 :702--727
2015
Herausgeber: Elsevier3078.
Kruse, Thomas; Strack, Philipp
Optimal stopping with private information
Journal of Economic Theory, 159 :702–727
2015
Herausgeber: Elsevier3077.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
Option pricing with dynamically correlated stochastic interest rate
Acta Mathematica Universitatis Comenianae, 84 (2) :179--190
20153076.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
Option pricing with dynamically correlated stochastic interest rate
Acta Mathematica Universitatis Comenianae, 84 (2) :179–190
2015
Herausgeber: Univerzita Komenskeho3075.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
Option pricing with dynamically correlated stochastic interest rate
Acta Mathematica Universitatis Comenianae, 84 (2) :179–190
2015
Herausgeber: Univerzita Komenskeho3074.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
Option pricing with dynamically correlated stochastic interest rate
Acta Mathematica Universitatis Comenianae, 84 (2) :179–190
2015
Herausgeber: Univerzita Komenskeho3073.
[german] Tausch, Michael W.; Zepp, Melanie
Organische Photovoltaik
Praxis der Naturwissenschaften - Chemie in der Schule, 64 (1) :18--21
20153072.
Ciuprina, Gabriela; Villena, Jorge Fernández; Ioan, Daniel; Ilievski, Zoran; Kula, Sebastian; Maten, E. Jan W.; Mohaghegh, Kasra; Pulch, Roland; Schilders, Wil H. A.; Silveira, L. Miguel; Ştefănescu, Alexandra; Striebel, Michael
Parameterized model order reduction
In Günther, Michael, Editor aus Mathematics in Industry
Seite 267–359
Herausgeber: Springer Berlin Heidelberg
2015
267–3593071.
Ciuprina, Gabriela; Villena, Jorge Fern{\'{a}}ndez; Ioan, Daniel; Ilievski, Zoran; Kula, Sebastian; Maten, E. Jan W.; Mohaghegh, Kasra; Pulch, Roland; Schilders, Wil H. A.; Silveira, L. Miguel; {\c{S}}tef{\u{a}}nescu, Alexandra; Striebel, Michael
Parameterized Model Order Reduction
In Günther, M., Editor, Coupled Multiscale Simulation and Optimization in Nanoelectronics Band 21 aus Mathematics in Industry
Kapitel 5, Seite 267--359
Herausgeber: Springer Berlin Heidelberg
2015
267--3593070.
Ciuprina, Gabriela; Villena, Jorge Fernández; Ioan, Daniel; Ilievski, Zoran; Kula, Sebastian; Maten, E. Jan W.; Mohaghegh, Kasra; Pulch, Roland; Schilders, Wil H. A.; Silveira, L. Miguel; Ştefănescu, Alexandra; Striebel, Michael
Parameterized model order reduction
In Günther, Michael, Editor aus Mathematics in Industry
Seite 267–359
Herausgeber: Springer Berlin Heidelberg
2015
267–3593069.
Tausch, Michael W.; Heffen, Maria; Krämer, René; Meuter, Nico
Passendes Licht - Harmlose Stoffe
Praxis der Naturwissenschaften - Chemie in der Schule, 64 (2) :45--49
2015