Applied and Computational Mathematics (ACM)

Computational Magnetics

Many electro-technical devices such as e.g. printed circuit boards, electrical drives and antenna systems can be simulated on the basis of electrical circuits. However, the increasing frequencies and the decreasing size force designers to account for wave propagation effects, eddy-current effects, ferromagnetic saturation and hysteresis. For wave propagation effects and eddy-current effects, the results of stand-alone field simulation can be represented by an order-reduced equivalent model, which is then inserted in the overall circuit model. The representation of field-dependent nonlinearities and hysteresis effects, however, is not straightforward.

2D Simulation of a Transformer

2D Simulation of a Transformer

The coupled field and circuit simulation becomes troublesome when a large number of time steps is required. This occurs when e.g. simulating an electrical drive where the machine requires 10 periods of 50 Hz to reach nominal speed whereas the switching of the Insulated Gate Bipolar Transistors in the frequency converter switches at 20 kHz, necessitating a time steps in the order of a microsecond to be used in the simulation. Since the field model consists typically of a few million degrees of freedom, all those unknowns have to be solved in every time step. Fortunately, the relevant time constants in electrical-energy converter are in the range 50 Hz. Hence the field model does not have to be time-stepped at the same rate as the circuit model, in which fast switches are present. The use of adaptive multirate time-integration schemes can reduce the numerical complexity of the problem substantially.

Research Questions

Cooperation

Former and ongoing projects

Publications



2017

3617.

[german] Zeller, Diana; Bohrmann-Linde, Claudia
Solarzellen ohne Silicium für den Chemieunterricht
Nachrichten aus der Chemie, 65 (12) :1236-1239
2017
Herausgeber: Wiley

3616.

Düring, Bertram; Hendricks, Christian; Miles, James
Sparse Grid High-Order ADI Scheme for Option Pricing in Stochastic Volatility Models
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 295–312
Herausgeber: Springer Cham
2017
295–312

3615.

Düring, Bertram; Hendricks, Christian; Miles, James
Sparse Grid High-Order ADI Scheme for Option Pricing in Stochastic Volatility Models
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 295–312
Herausgeber: Springer Cham
2017
295–312

3614.

Düring, Bertram; Hendricks, Christian; Miles, James
Sparse Grid High-Order ADI Scheme for Option Pricing in Stochastic Volatility Models
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 295–312
Herausgeber: Springer Cham
2017
295–312

3613.

Ehrhardt, Matthias; Ševčovič, Daniel
Stochastic and Computational Finance (Preface)
International Journal of Computer Mathematics, 94 (11) :2145–2146
2017
Herausgeber: Taylor & Francis

3612.

Ehrhardt, Matthias; Ševčovič, Daniel
Stochastic and Computational Finance (Preface)
International Journal of Computer Mathematics, 94 (11) :2145–2146
2017
Herausgeber: Taylor & Francis

3611.

Ehrhardt, Matthias; Ševčovič, Daniel
Stochastic and Computational Finance Preface
2017

3610.

Kotthaus, Andreas F.; Ballaschk, Frederic; Stakaj, Vjoni; Mohr, Fabian
Synthesis and Resolution of a Chiral Diamine: 2,2′-(Propane-2,2-diyl)dipyrrolidine
Synthesis, 49 (14) :3107–3111
2017
ISSN: 0039-7881, 1437-210X

3609.

Ballaschk, Frederic; Erhardt, Hellmuth
Synthesis of substituted pyrazines from N-allyl malonamides
RSC Advances, 7 (88) :55594–55597
2017
ISSN: 2046-2069

3608.

Heuer, C.; Pólvora, P.; Silva, J.; Ehrhardt, M.; Günther, M.; Maten, E. J. W.
The {STRIKE} Computational Finance Toolbox
In M. Ehrhardt and M. Günther and E. J. W. ter Maten, Editor, Novel Methods in Computational FinanceBand25ausMathematics in Industry, Seite 561--601
In M. Ehrhardt and M. Günther and E. J. W. ter Maten, Editor
Herausgeber: Springer
2017

3607.

Wagner, Christian; Kotthaus, Andreas F.
The asymmetric reduction of imidazolinones with trichlorosilane
Chemical Communications, 53 (32) :4513–4516
2017
ISSN: 1364-548X

3606.

[english] Tausch, Michael W.; Bohrmann-Linde, Claudia; Meuter, Nico; Spinnen, Sebastian; Yurdanur, Yasemin; Pereira Vaz, Nuno; Drude, Niklas
The Fascinating World of Photochemistry
2017

3605.

Wegner, Sven-Ake
The heart of the {B}anach spaces
J. Pure Appl. Algebra, 221 (11) :2880--2909
2017

3604.

Wegner, Sven-Ake
The heart of the Banach spaces
J. Pure Appl. Algebra, 221 (11) :2880--2909
2017

3603.

Pinnau, Rene; Totzeck, Claudia; Tse, Oliver
The quasi-neutral limit in optimal semiconductor design
SIAM Journal of Control and Optimization, 55 (4) :2603-2635
2017

3602.

Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B.
The Radau-Lanczos method for matrix functions
SIAM J. Matrix Anal. Appl., 38 (3) :710-732
2017

3601.

Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B.
The Radau-Lanczos method for matrix functions
SIAM J. Matrix Anal. Appl., 38 (3) :710-732
2017

3600.

Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B.
The Radau-Lanczos method for matrix functions
SIAM J. Matrix Anal. Appl., 38 (3) :710-732
2017

3599.

Schmiedt, Hanno; Jensen, Per; Schlemmer, Stephan
The role of angular momentum in the superrotor theory for rovibrational motion of extremely flexible molecules
Journal of Molecular Spectroscopy, 342 :132-137
2017
Herausgeber: Academic Press

3598.

Schmiedt, Hanno; Jensen, Per; Schlemmer, Stephan
The role of angular momentum in the superrotor theory for rovibrational motion of extremely flexible molecules
Journal of Molecular Spectroscopy, 342 :132-137
2017
Herausgeber: Academic Press

3597.

Schmiedt, Hanno; Jensen, Per; Schlemmer, Stephan
The role of angular momentum in the superrotor theory for rovibrational motion of extremely flexible molecules
Journal of Molecular Spectroscopy, 342 :132-137
2017
Herausgeber: Academic Press

3596.

Daners, Daniel; Glück, Jochen
The role of domination and smoothing conditions in the theory of eventually positive semigroups
Bull. Aust. Math. Soc., 96 (2) :286--298
2017

3595.

Heuer, Christof; Pólvora, Pedro; Ehrhardt, Matthias; Günther, Michael; Maten, E. Jan W.
The STRIKE computational finance toolbox
Novel Methods in Computational Finance :561–601
2017
Herausgeber: Springer Cham

3594.

Heuer, Christof; Pólvora, Pedro; Ehrhardt, Matthias; Günther, Michael; Maten, E Jan W
The STRIKE Computational Finance Toolbox
Novel Methods in Computational Finance :561--601
2017
Herausgeber: Springer International Publishing

3593.

Heuer, Christof; Pólvora, Pedro; Ehrhardt, Matthias; Günther, Michael; Maten, E. Jan W.
The STRIKE computational finance toolbox
Novel Methods in Computational Finance :561–601
2017
Herausgeber: Springer Cham