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

3668.

Teng, Long; Ehrhardt, Matthias; G\"unther, Michael
Numerical Simulation of the {Heston} model with Stochastic Correlation
International Journal of Financial Studies, 6 (1):3 (1)
2017

3667.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Numerical simulation of the Heston model under stochastic correlation
International Journal of Financial Studies, 6 (1) :3
2017
Herausgeber: MDPI

3666.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Numerical simulation of the Heston model under stochastic correlation
International Journal of Financial Studies, 6 (1) :3
2017
Herausgeber: MDPI

3665.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Numerical simulation of the Heston model under stochastic correlation
International Journal of Financial Studies, 6 (1) :3
2017
Herausgeber: MDPI

3664.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Numerical simulation of the Heston model under stochastic correlation
International Journal of Financial Studies, 6 (1) :3
2017
Herausgeber: MDPI

3663.

Gaona-Colm{{\'a}}n, Elizabeth; Blanco, Mar{í}a B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
OH- and O\(_{3}\)-initiated atmospheric degradation of camphene: temperature dependent rate coefficients, product yields and mechanisms
RSC Advances, 7 (5) :2733-2744
2017

3662.

Gaona-Colm{{\'a}}n, Elizabeth; Blanco, Mar{í}a B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
OH- and O\(_{3}\)-initiated atmospheric degradation of camphene: temperature dependent rate coefficients, product yields and mechanisms
RSC Advances, 7 (5) :2733-2744
2017

3661.

Gaona-Colmán, Elizabeth; Blanco, María B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
OH- and O3-initiated atmospheric degradation of camphene: temperature dependent rate coefficients, product yields and mechanisms
RSC Advances, 7 (5) :2733-2744
2017

3660.

Gerlach, Moritz; Glück, Jochen
On a convergence theorem for semigroups of positive integral operators
C. R. Math. Acad. Sci. Paris, 355 (9) :973--976
2017

3659.

Siemon, Dominik; Becker, Felix; Eckardt, Linda; Robra-Bissantz, Susanne
One for all and all for one - towards a framework for collaboration support systems
Education and Information Technologies, 24 (2) :1837 - 1861
2017

3658.

Klamroth, Kathrin; Stiglmayr, Michael; Volkert, Klaus; Pahl, Lisa
Optimierung als Bindeglied zwischen Schule, Anwendung und Forschung
In Klamroth, Kathrin and Stiglmayr, Michael and Volkert, Klaus and Pahl, Lisa, Editor, Band 1
2017

3657.

Sayed, S. El; Bolten, M.; Pleiter, D.
Parallel I/O architecture modelling based on file system counters
In M. Taufer and B. Mohr and J. Kunkel, Editor, High Performance Computing. ISC High Performance 2016Band9945ausLNCS, Seite 627--637
In M. Taufer and B. Mohr and J. Kunkel, Editor
Herausgeber: Springer
2017

3656.

Sayed, S. El; Bolten, Matthias; Pleiter, D.
Parallel I/O architecture modelling based on file system counters
In M. Taufer and B. Mohr and J. Kunkel, Editor, High Performance Computing. ISC High Performance 2016Band9945ausLNCS, Seite 627-637
In M. Taufer and B. Mohr and J. Kunkel, Editor
Herausgeber: Springer
2017

3655.

Sayed, S. El; Bolten, M.; Pleiter, D.
Parallel I/O architecture modelling based on file system counters
In M. Taufer and B. Mohr and J. Kunkel, Editor, High Performance Computing. ISC High Performance 2016Band9945ausLNCS, Seite 627-637
In M. Taufer and B. Mohr and J. Kunkel, Editor
Herausgeber: Springer
2017

3654.

Holzschneider, Kristina; H{ä}ring, Andreas P.; Haack, Alexander; Corey, Daniel J.; Benter, Thorsten; Kirsch, Stefan F.
Pathways in the Degradation of Geminal Diazides
The Journal of Organic Chemistry, 82 (15) :8242-8250
2017

3653.

Holzschneider, Kristina; Häring, Andreas P.; Haack, Alexander; Corey, Daniel J.; Benter, Thorsten; Kirsch, Stefan F.
Pathways in the Degradation of Geminal Diazides
The Journal of Organic Chemistry, 82 (15) :8242-8250
2017

3652.

Holzschneider, Kristina; Häring, Andreas P.; Haack, Alexander; Corey, Daniel J.; Benter, Thorsten; Kirsch, Stefan F.
Pathways in the Degradation of Geminal Diazides
The Journal of Organic Chemistry, 82 (15) :8242–8250
2017
ISSN: 0022-3263

3651.

Kienitz, Jörg; McWalter, Thomas; Sheppard, Roelof
PDE methods for SABR
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 265–291
Herausgeber: Springer Cham
2017
265–291

3650.

Kienitz, Jörg; McWalter, Thomas; Sheppard, Roelof
PDE methods for SABR
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 265–291
Herausgeber: Springer Cham
2017
265–291

3649.

Kienitz, Jörg; McWalter, Thomas; Sheppard, Roelof
PDE methods for SABR
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 265–291
Herausgeber: Springer Cham
2017
265–291

3648.

[german] Tausch, Michael W.; Bohrmann-Linde, Claudia; Meuter, Nico; Spinnen, Sebastian; Yurdanur, Yasemin; Pereira Vaz, Nuno; Drude, Niklas
Photochemie und andere interessante Sachen
Beilstein.TV
2017
Herausgeber: Beilstein.TV

3647.

[german] Meuter, Nico; Spinnen, Sebastian; Yurdanur, Yasemin; Tausch, Michael W.
Photonen und Moleküle
CHEMKON, 24 (4) :265--271
2017
Herausgeber: Wiley

3646.

Tausch, Michael W.; Meuter, Nico; Spinnen, Sebastian
Photoprocesses in chemical education. Key experiments for core concepts
Educacion Quimica, 28 (3) :120--126
2017
Herausgeber: Universidad Nacional Autonoma de Mexico

3645.

Ehrhardt, Matthias; Vázquez, Carlos
Pricing swing options in electricity markets with two stochastic factors using a partial differential equation approach
Journal of Computational Finance, 20 (3) :81–107
2017
Herausgeber: Incisive Media

3644.

Ehrhardt, Matthias; Vázquez, Carlos
Pricing swing options in electricity markets with two stochastic factors using a partial differential equation approach
Journal of Computational Finance, 20 (3) :81–107
2017
Herausgeber: Incisive Media