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Chair of Applied Mathematics / Numerical Analysis
Bergische Universität Wuppertal
Faculty of Mathematics and Natural Sciences
Gaußstraße 20
D-42119 Wuppertal
Germany

Phone: +49 202 439 5296
Fax: (Fax currently unavailable)
E-Mail: sek-amna{at}math.uni-wuppertal.de

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Books

References

2014

20.
Matthias Ehrhardt; Th. Koprucki
Advanced Mathematical Models and Numerical Techniques for Multiband Effective Mass Approximations
In Ehrhardt,Matthias and Koprucki,Th., editor,
Publisher: Springer Verlag,
2014
19.
M. Fontes; Michael Günther; Nicole Marheineke
Progress in Industrial Mathematics at ECMI 2012
In Fontes, M. and Günther, Michael and Marheineke, Nicole, editor,
Publisher: Springer,
2014
18.
Michael Günther
COMSON- coupled multiscale similation and optimisation in nanoelectronics .
Publisher: Springer,
2014

2013

17.
Matthias Ehrhardt
Novel Trends in Lattice-Boltzmann Methods - Reactive Flow, Physicochemical Transport and Fluid-Structure Interaction
In Ehrhardt,Matthias, editor, Volume 3 of Progress in Computational Physics.
Publisher: Bentham Science Publishers Ltd,
2013

2012

16.
Matthias Ehrhardt
Coupled Fluid Flow in Energy, Biology and Environmental Research.
In Ehrhardt,Matthias, editor, Volume 2 of Progress in Computational Physics
Publisher: Bentham Science Publishers Ltd,
2012
15.
Michael Günther
COMSON - a Marie Curie Research Training Network in Coupled Multiscale Simulation and Optimization in Nanoelectronics.
In Günther, Michael, editor,
Publisher: Springer, Heidelberg
2012

Note: in preparation

14.
Michael Günther; Andreas Bartel; Markus Brunk; Michael Striebel; Sch
Progress in Industrial Mathematics at ECMI 2010.
In Günther, Michael and Bartel, Andreas and Brunk, Markus and Striebel, Michael and Sch, editor,
Publisher: Springer, Heidelberg
2012

Note: 978-3-642-25099-6

2011

13.
Sebastian Schöps
Multiscale Modeling and Multirate Time-Integration of Field/Circuit Coupled Problems
of Elektrotechnik
Publisher: VDI Verlag, Düsseldorf
2011
ISBN: 978-3-18-339821-8

Abstract: This treatise is intended for mathematicians and computational engineers that work on modeling, coupling and simulation of electromagnetic problems. This includes lumped electric networks, magnetoquasistatic field and semiconductor devices. Their coupling yields a multiscale system of partial differential algebraic equations containing device models of any dimension interconnected by the electric network. It is solved in time domain by multirate techniques that efficiently exploit the structure. The central idea is the usage of lumped surrogate models that describe latent model parts sufficiently accurate (e.g. the field model by an inductance) even if other model parts (e.g. the circuit) exhibit highly dynamic behavior. We propose dynamic iteration and a bypassing technique using surrogate Schur complements. A mathematical convergence analysis is given and numerical examples are discussed. They show a clear reduction in the computational costs compared to single rate approaches.

2010

12.
Matthias Ehrhardt
Wave Propagation in Periodic Media - Analysis, Numerical Techniques and practical Applications, Progress in Computational Physics
Publisher: Bentham Science Publishers Ltd.,
2010
11.
Matthias Ehrhardt
Coupled Fluid Flow in Energy, Biology and Environmental Research, Progress in Computational Physics
Publisher: Bentham Science Publishers Ltd,
2010
10.
Matthias Ehrhardt; Th. Koprucki
Modern Mathematical Models and Numerical Techniques for Multiband Effective Mass Approximations
Publisher: Nova Science Publishers, Hauppauge, NY 11788
2010

Note: in preparation

2008

9.
Matthias Ehrhardt
Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing
Publisher: Nova Science Publishers, Hauppauge, NY 11788
2008
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