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



2018

3892.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Hybrid finite-difference/pseudospectral methods for the Heston and Heston-Hull-White partial differential equations
Journal of Computational Finance, 21 (5) :1–33
2018
Herausgeber: Incisive Media

3891.

Pulch, R.; Putek, P.; de Gersem, H.; Gillon, R.
Identification of probabilistic input data for a glue-die-package problem
In Quintela, P. and Barral, P. and Gómez, D. and Pena, F.J. and Rodríguez, J. and Salgado, P. and Vázquez-Mendéz, M.E., Editor, Progress in Industrial Mathematics at ECMI 2016 aus Mathematics in Industry
Seite 255--262
Herausgeber: Springer,
2018
255--262

3890.

Gomes, Ricardo J.; Guerreiro, Andreia P.; Kuhn, Tobias; Paquete, Luís
Implicit enumeration strategies for the hypervolume subset selection problem
Computers & Operations Research, 100 :244 - 253
2018

3889.

Jacob, Birgit; Nabiullin, Robert; Partington, Jonathan R.; Schwenninger, Felix L.
Infinite-dimensional input-to-state stability and {O}rlicz spaces
SIAM J. Control Optim., 56 (2) :868--889
2018

3888.

Jacob, Birgit; Nabiullin, Robert; Partington, Jonathan R.; Schwenninger, Felix L.
Infinite-dimensional input-to-state stability and Orlicz spaces
SIAM J. Control Optim., 56 (2) :868--889
2018

3887.

Kienitz, J.; Caspers, P.
Interest Rate Derivatives Explained: Volume 2 Term Structure and Volatility Modelling
Herausgeber: Palgrave McMillan
2018

3886.

Budde, Christian; Farkas, Bálint
Intermediate and extrapolated spaces for bi-continuous operator semigroups
Journal of Evolution Equations, 19 (2) :321-359
2018

3885.

Pulch, R.; Putek, P.; E.J.W. ; Schoenmaker, W.
IX: Uncertainty Quantification: Introduction and Implementations
In ter Maten, E. J. W. and Brachtendorf H., G. and Pulch, R. and Schoenmaker, W., Editor, Nanoelectronic Coupled Problems Solutions
Seite 195-216
Herausgeber: Springer
2018
195-216

3884.

Bohrmann-Linde, Claudia; Krüger, J.; Schneiderhahn, K.
Lehrerband zu Chemie 1 (Baden-Württemberg)
Herausgeber: C.C.Buchner, Bamberg
2018

3883.

Bohrmann-Linde, Claudia; Kröger, Simone; Siehr, I.
Lehrerband zu Chemie 2 (Berlin/Brandenburg)
Herausgeber: C.C.Buchner, Bamberg
2018

3882.

[english] Hoffmann, Heiko; Tausch, Michael W.
Low-Cost Equipment for Photochemical Reactions
Journal of Chemical Education, 95 (12) :2289--2292
2018
Herausgeber: American Chemical Society ({ACS})

3881.

Beckermann, Bernhard; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions
SIAM J. Matrix Anal. Appl., 39 (1) :539-565
2018

3880.

Beckermann, Bernhard; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions
SIAM J. Matrix Anal. Appl., 39 (1) :539-565
2018

3879.

Beckermann, Bernhard; Kressner, Daniel; Schweitzer, Marcel
Low-rank updates of matrix functions
SIAM J. Matrix Anal. Appl., 39 (1) :539-565
2018

3878.

Gerlach, Moritz; Glück, Jochen
Lower bounds and the asymptotic behaviour of positive operator semigroups
Ergodic Theory Dynam. Systems, 38 (8) :3012--3041
2018

3877.

Tausch, Michael W.
Mehr Licht im Chemieunterricht! Experimentelle Zugänge zu Grundkonzepten der Photochemie
{CHIMIA} International Journal for Chemistry, 72 (1) :23--26
2018
Herausgeber: Swiss Chemical Society

3876.

Kaminski, Martin
Methodenentwicklung einer Quarzrohrofenpyrolyse von Mikroplastik und Anreicherung der Produkte in Tenax® mit anschließender GCxGC-MS-Analytik
2018

3875.

Bolten, Matthias; Kahl, K.; Kressner, D.; Macedo, F.; Sokolović, S.
Multigrid methods combined with low-rank approximation for tensor-structured Markov chains
Electron. Trans. Numer. Anal., 48 :348-361
2018

3874.

Bolten, M.; Kahl, K.; Kressner, D.; Macedo, F.; Sokolović, S.
Multigrid methods combined with low-rank approximation for tensor-structured Markov chains
Electron. Trans. Numer. Anal., 48 :348-361
2018

3873.

Bolten, M.; Kahl, K.; Kressner, D.; Macedo, F.; Sokolović, S.
Multigrid methods combined with low-rank approximation for tensor-structured Markov chains
Electron. Trans. Numer. Anal., 48 :348--361
2018

3872.

Hachtel, Christoph; Kerler-Back, Johanna; Bartel, Andreas; Günther, Michael; Stykel, Tatjana
Multirate {DAE}/{ODE}-simulation and model order reduction for coupled field-circuit systems
Scientific Computing in Electrical Engineering: SCEE 2016, St. Wolfgang, Austria, October 2016, Seite 91--100
Springer International Publishing
Herausgeber: Springer International Publishing
2018

3871.

Hachtel, Christoph; Kerler-Back, Johanna; Bartel, Andreas; Günther, Michael; Stykel, Tatjana
Multirate DAE/ODE-simulation and model order reduction for coupled field-circuit systems
Scientific Computing in Electrical Engineering: SCEE 2016, St. Wolfgang, Austria, October 2016, Seite 91--100
Springer International Publishing
2018

3870.

Hachtel, Christoph; Kerler-Back, Johanna; Bartel, Andreas; Günther, Michael; Stykel, Tatjana
Multirate DAE/ODE-simulation and model order reduction for coupled field-circuit systems
In Langer, Ulrich and Amrhein, Wolfgang and Zulehner, Walter, Editor, Scientific Computing in Electrical Engineering: SCEE 2016, St. Wolfgang, Austria, October 2016ausMathematics in Industry, Seite 91–100
In Langer, Ulrich and Amrhein, Wolfgang and Zulehner, Walter, Editor
Herausgeber: Springer Cham
2018

3869.

Hachtel, Christoph; Kerler-Back, Johanna; Bartel, Andreas; Günther, Michael; Stykel, Tatjana
Multirate DAE/ODE-simulation and model order reduction for coupled field-circuit systems
In Langer, Ulrich and Amrhein, Wolfgang and Zulehner, Walter, Editor, Scientific Computing in Electrical Engineering: SCEE 2016, St. Wolfgang, Austria, October 2016ausMathematics in Industry, Seite 91–100
In Langer, Ulrich and Amrhein, Wolfgang and Zulehner, Walter, Editor
Herausgeber: Springer Cham
2018

3868.

Putek, Piotr; Janssen, Rick; Niehof, Jan; Maten, E. Jan W.; Pulch, Roland; Tasi{\'{c}}, Bratislav; Günther, Michael
Nanoelectronic {COupled} Problems Solutions: uncertainty quantification for analysis and optimization of an {RFIC} interference problem
JMI, 8 (1) :1-22
2018