Applied and Computational Mathematics (ACM)

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:

Former and ongoing projects

Cooperations

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: Pergamon

3092.

Teng, Long; Ehrhardt, Matthias; G\"unther, Michael
On the {Heston} model with Stochastic Correlation
IJTAF, 19 (06)
September 2015

3091.

Heilmann, Margareta; Raşa, Ioan
On the decomposition of Bernstein operators
Numerical Functional Analysis and Optimization, 36 (1) :72-85
2015

3090.

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
2015

3089.

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
2015

3088.

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
2015

3087.

Winklmeier, Monika; Wyss, Christian
On the spectral decomposition of dichotomous and bisectorial operators
Integral Equations Operator Theory, 82 (1) :119-150
2015

3086.

Glück, Jochen
On weak decay rates and uniform stability of bounded linear operators
Arch. Math. (Basel), 104 (4) :347--356
2015

3085.

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: Pergamon

3084.

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: Pergamon

3083.

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: Pergamon

3082.

Eisner, Tanja; Farkas, Bálint; Haase, Markus; Nagel, Rainer
Operator Theoretic Aspects of Ergodic Theory
Band 272 aus Graduate Text in Mathematics
Herausgeber: Springer
2015

3081.

Ankirchner, Stefan; Kruse, Thomas
Optimal position targeting with stochastic linear-quadratic costs
Banach Center Publ, 104 (1) :9--24
2015

3080.

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 Sciences

3079.

Kruse, Thomas; Strack, Philipp
Optimal stopping with private information
Journal of Economic Theory, 159 :702--727
2015
Herausgeber: Elsevier

3078.

Kruse, Thomas; Strack, Philipp
Optimal stopping with private information
Journal of Economic Theory, 159 :702–727
2015
Herausgeber: Elsevier

3077.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Option pricing with dynamically correlated stochastic interest rate
Acta Mathematica Universitatis Comenianae, 84 (2) :179--190
2015

3076.

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 Komenskeho

3075.

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 Komenskeho

3074.

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 Komenskeho

3073.

[german] Tausch, Michael W.; Zepp, Melanie
Organische Photovoltaik
Praxis der Naturwissenschaften - Chemie in der Schule, 64 (1) :18--21
2015

3072.

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
267–359

3071.

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--359

3070.

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
267–359

3069.

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