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



5391.


High order tensor product interpolation in the Combination Technique
preprint, 14 :25

5390.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Hybrid finite difference/pseudospectral methods for stochastic volatility models
19th European Conference on Mathematics for Industry, Seite 388

5389.

Ehrhardt, Matthias; Csomós, Petra; Faragó, István; others
Invited Papers

5388.

Günther, Michael
Lab Exercises for Numerical Analysis and Simulation I: ODEs

5387.

Ehrhardt, Matthias; Günther, Michael
Mathematical Modelling of Dengue Fever Epidemics

5386.

Ehrhardt, Matthias
Mathematical Modelling of Monkeypox Epidemics

5385.

Ehrhardt, Matthias; Günther, Michael
Mathematical Study of Grossman's model of investment in health capital

5384.

Bartel, PD Dr A
Mathematische Modellierung in Anwendungen

5383.


Model Order Reduction Techniques for Basket Option Pricing

5382.

Ehrhardt, Matthias; Günther, Michael
Modelling Stochastic Correlations in Finance

5381.

Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit; Maten, Jan
Modelling, Analysis and Simulation with Port-Hamiltonian Systems

5380.

Maten, E Jan W; Ehrhardt, Matthias
MS40: Computational methods for finance and energy markets
19th European Conference on Mathematics for Industry, Seite 377

5379.

Putek, Piotr; PAPLICKI, Piotr; Pulch, Roland; Maten, Jan; Günther, Michael; PA{\L}KA, Ryszard
NONLINEAR MULTIOBJECTIVE TOPOLOGY OPTIMIZATION AND MULTIPHYSICS ANALYSIS OF A PERMANENT-MAGNET EXCITED SYNCHRONOUS MACHINE

5378.

Günther, Michael; Wandelt, Dipl Math Mich{\`e}le
Numerical Analysis and Simulation I: ODEs

5377.

Ehrhardt, Matthias; Günther, Michael
Numerical Evaluation of Complex Logarithms in the Cox-Ingersoll-Ross Model

5376.

Ehrhardt, Matthias; Günther, Michael
Numerical Pricing of Game (Israeli) Options

5375.

Ehrhardt, Matthias; Farkas, Bálint; Günther, Michael; Jacob, Birgit
Operator Splitting and Multirate Schemes

5374.

Vázquez, C
PDE modeling and numerical methods for swing option pricing in electricity markets
19th European Conference on Mathematics for Industry, Seite 390

5373.

Ehrhardt, Matthias
Positive Schemes for Air Pollution Problems, Optimal Location of Industrial Enterprises and Optimization of their Emissions

5372.

Ehrhardt, Matthias; Vázquez, Carlos
Pricing swing options in electricity markets with two stochastic factors: PIDE modeling and numerical solution
3rd International Conference on Computational Finance (ICCF2019), Seite 89

5371.

Putek, PA; Ter Maten, EJW
Reliability-based Low Torque Ripple Design of Permanent Magnet Machine

5370.

Knechtli, F; Striebel, M; Wandelt, M
Symmetric \& Volume Preserving Projection Schemes

5369.

Putek, Piotr; Günther, Michael
Topology Optimization and Analysis of a PM synchronous Machine for Electrical Automobiles

5368.

Ehrhardt, Matthias; Günther, Michael
Vorhersage-Modelle am Beispiel des Corona-Virus COVID-19

5367.

Acu, A.M.; Heilmann, Margareta; Raşa, I.
Voronovskaja type results for the Aldaz-Kounchev-Render versions of generalized Baskakov Operators
submitted