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



2014

2880.

Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
Modelling and Numerical Simulation
Atmospheric Research From Different Perspectives: Bridging the Gap Between Natural and Social Sciences :27--34
2014
Herausgeber: Springer International Publishing

2879.

Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
Modelling and Numerical Simulation
In Koppmann, Ralf, Editor
Seite 27–34
Herausgeber: Springer Cham
2014
27–34

2878.

Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
Modelling and Numerical Simulation
In Koppmann, Ralf, Editor
Seite 27–34
Herausgeber: Springer Cham
2014
27–34

2877.

Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit
Modelling and Numerical Simulation
In Koppmann, Ralf, Editor
Seite 27–34
Herausgeber: Springer Cham
2014
27–34

2876.

Ehrhardt, Matthias; Günther, Michael
Modelling Stochastic Correlations in Finance
Preprint IMACM
2014

2875.

Ehrhardt, Matthias; Günther, Michael
Modelling Stochastic Correlations in Finance
Preprint IMACM
2014

2874.

Ehrhardt, Matthias; Günther, Michael
Modelling Stochastic Correlations in Finance
Preprint IMACM
2014

2873.

Cortés, J. C.; Ehrhardt, M.; Sánchez-Sánchez, A.; Santonja, F. J.; Villanueva, R. J.
Modelling the dynamics of the students academic performance in the {German} region of {North Rhine-Westphalia}: an epidemiological approach with uncertainty
Int. J. Comput. Math., 91 (2) :241--251
2014

2872.

Ehrhardt, Matthias; Sánchez-Sánchez, Almudena
Modelling the dynamics of the students’ academic performance in the German region of the North Rhine-Westphalia: an epidemiological approach with uncertainty
International Journal of Computer Mathematics, 91 (2) :241--251
2014
Herausgeber: Taylor & Francis

2871.

Ehrhardt, Matthias; Sánchez-Sánchez, Almudena
Modelling the dynamics of the students’ academic performance in the German region of the North Rhine-Westphalia: An epidemiological approach with uncertainty
International Journal of Computer Mathematics, 91 (2) :241–251
2014
Herausgeber: Taylor & Francis

2870.

Ehrhardt, Matthias; Sánchez-Sánchez, Almudena
Modelling the dynamics of the students’ academic performance in the German region of the North Rhine-Westphalia: An epidemiological approach with uncertainty
International Journal of Computer Mathematics, 91 (2) :241–251
2014
Herausgeber: Taylor & Francis

2869.

Ehrhardt, Matthias
Multi-Band Effective Mass Approximations: Advanced Mathematical Models and Numerical Techniques
2014

2868.


Multi-Band Effective Mass Approximations: Advanced Mathematical Models and Numerical Techniques
In Ehrhardt, Matthias and Koprucki, Thomas, Editor aus Lecture Notes in Computational Science and Engineering
Herausgeber: Springer Cham
2014

ISBN: 978-3-319-01426-5

2867.


Multi-Band Effective Mass Approximations: Advanced Mathematical Models and Numerical Techniques
In Ehrhardt, Matthias and Koprucki, Thomas, Editor aus Lecture Notes in Computational Science and Engineering
Herausgeber: Springer Cham
2014

ISBN: 978-3-319-01426-5

2866.

Wallington, T. J.; Wiesen, Peter
N\(_{2}\)O emissions from global transportation
Atmospheric Environment, 94 :258-263
2014
Herausgeber: Pergamon

2865.

Wallington, T. J.; Wiesen, Peter
N\(_{2}\)O emissions from global transportation
Atmospheric Environment, 94 :258-263
2014
Herausgeber: Pergamon

2864.

Wallington, T. J.; Wiesen, Peter
N2O emissions from global transportation
Atmospheric Environment, 94 :258-263
2014
Herausgeber: Pergamon

2863.

Maten, E Jan W; Günther, Michael; Putek, Piotr; Benner, Peter; Feng, Lihong; Schneider, Judith; Brachtendorf, Hans-Georg; Bittner, Kai; Deleu, Frederik; Wieers, Aarnout; others
Nanocops: Nanoelectronic coupled problem solutions
2014
Herausgeber: Mathematics and Industry

2862.

Setzer, Klaus-Dieter; Fink, Ewald H.
Near-infrared emission spectra of TeS, TeSe and Te\(_{2}\)
Journal of Molecular Spectroscopy, 304 :28-36
2014
Herausgeber: Academic Press

2861.

Setzer, Klaus-Dieter; Fink, Ewald H.
Near-infrared emission spectra of TeS, TeSe and Te\(_{2}\)
Journal of Molecular Spectroscopy, 304 :28-36
2014
Herausgeber: Academic Press

2860.

Setzer, Klaus-Dieter; Fink, Ewald H.
Near-infrared emission spectra of TeS, TeSe and Te2
Journal of Molecular Spectroscopy, 304 :28-36
2014
Herausgeber: Academic Press

2859.

Putek, Piotr; PAPLICKI, Piotr; Pulch, Roland; Maten, E. Jan W.; Günther, Michael; Palka, Ryszard
Nonlinear multiobjective topology optimization and multiphysics analysis of a permanent-magnet excited synchronous machine
Optimization and Inverse Problems in Electromagnetism OIPE-2014 Book of Digests, Seite 107–108
Herausgeber: TU Delf
2014

2858.

Putek, Piotr; PAPLICKI, Piotr; Pulch, Roland; Maten, E. Jan W.; Günther, Michael; Palka, Ryszard
Nonlinear multiobjective topology optimization and multiphysics analysis of a permanent-magnet excited synchronous machine
Optimization and Inverse Problems in Electromagnetism OIPE-2014 Book of Digests, Seite 107–108
Herausgeber: TU Delf
2014

2857.

Ehrhardt, M.
Nonstandard Finite Difference Schemes for the {Black-Scholes} Equation
In A. Gumel, Editor, Mathematics of Continuous and Discrete Dynamical SystemsBand618, Seite 217--228
In A. Gumel, Editor
Herausgeber: AMS (Contemporary Mathematics)
2014

2856.

Ehrhardt, Matthias
Nonstandard Finite Difference Schemes for the Black--Scholes Equation
Mathematics of Continuous and Discrete Dynamical Systems: Contemporary Mathematics, 618 :217
2014
Herausgeber: American Mathematical Soc.