Verbundprojekt im Rahmen des BMBF-Programms
Mathematik für Innovationen in Industrie und Dienstleistungen

M. Hinze, M. Kunkel
Residual Based Sampling in POD Model Order Reduction of Drift-Diffusion Equations in Parametrized Electrical Networks.

ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 2011.

M. Hinze, M. Kunkel, A. Steinbrecher, T. Stykel
Model order reduction of coupled circuit-device systems.

Hamburger Beiträge zur Angewandten Mathematik 2011-08, 2011,
erscheint in Journal of Numerical Mathematics.

O. Schmidt
Structure-Exploiting Coupled Symbolic-Numerical Model Reduction For Electrical Networks.

Dissertation, Technische Universität Kaiserslautern. Cuvillier Verlag Göttingen 2010.

J. P. Amorocho, H. Faßbender
Time dependent weight functions for the Trajectory Piecewise-Linear approach.

Proceedings of ECMI 2010. Eingereicht, 2010.

A. Steinbrecher, T. Stykel
Model order reduction of electrical circuits with nonlinear elements.

Proceedings of ECMI 2010. Eingereicht, 2010.

O. Schmidt
Structure-exploiting symbolic-numerical model reduction of nonlinear electrical circuits.

Proceedings of ECMI 2010. Eingereicht, 2010.

P. Benner, A. Schneider
Model Reduction for Linear Descriptor Systems with Many Ports

Proceedings of ECMI 2010. Eingereicht, 2010.

M. Bollhöfer, A. Eppler
A structure preserving FGMRES method for solving large Lyapunov equations

Proceedings of ECMI 2010. Eingereicht, 2010.

P. Benner, A. Schneider
Some Remarks on A Priori Error Estimation for ESVDMOR

Proceedings of SCEE 2010. Eingereicht, 2010.

M. Bollhöfer, A. Eppler
An alternative way of solving large Lyapunov equations

Proceedings in Applied Mathematics and Mechanics. Eingereicht, 2010.

M. Hinze, M. Kunkel
Discrete empirical interpolation in POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks.

Hamburger Beiträge zur Angewandten Mathematik 2010-09.

P. Benner, A. Schneider
Balanced Truncation Model Order Reduction for LTI Systems with many Inputs or Outputs.

Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010, Budapest, 5.-9. Juli 2010.

T. Stykel, T. Reis
The PABTEC algorithm for passivity-preserving model reduction of circuit equations.

Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010, Budapest, 5.-9. Juli, 2010.

A. Steinbrecher
Model Order Reduction of Nonlinear Circuits.

Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010, Budapest, 5.-9. Juli 2010.

O. Schmidt, T. Halfmann, P. Lang
Coupling of numerical and symbolic techniques for model order reduction in circuit design.

In Model Reduction for Circuit Simulation, P. Benner, M. Hinze, J. ter Maten (eds.), Springer-Verlag, Berlin/Heidelberg.

P. Benner, A. Schneider
On Stability, Passivity and Reciprocity Preservation of ESVDMOR.

In Model Reduction for Circuit Simulation, P. Benner, M. Hinze, J. ter Maten (eds.), Springer-Verlag, Berlin/Heidelberg.

J. P. Amorocho, H. Faßbender
Some contributions to the model order reduction of large scale non-linear electric circuits.
Proceedings in Applied Mathematics and Mechanics. Vol. 10, Issue 1, pp. 639-640, November 2010.
DOI: 10.1002/pamm.201010312

M. Hinze, M. Kunkel
Residual Based Sampling in POD Model Order Reduction of Drift-Diffusion Equations in Parametrized Electrical Networks. Preprint, 2010

T. Reis and T.Stykel
Positive real and bounded real balancing for model reduction of descriptor systems. Internat. J. Control 83(1):74-88, 2010

T. Stykel
Balancing-related model reduction of circuit equations using topological structure.

In Model Reduction for Circuit Simulation, P. Benner, M. Hinze, J. ter Maten (eds.), Springer-Verlag, Berlin/Heidelberg.

T. Reis, T. Stykel
Lyapunov balancing for passivity-preserving model reduction of RC circuits
Preprint 2009/27, TU Berlin, 2009.

M. Hinze, M. Kunkel and M. Vierling
POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks
Hamburger Beiträge zur Angewandten Mathematik 2009-03

P. Benner
System Reduction for Nanoscale IC Design (SyreNe), ECMI NEWSLETTER 45, S. 18-21, 2009

P. Benner, M.-S. Hossain, and T. Stykel
Model Reduction of Periodic Descriptor Systems Using Balanced Truncation

In P. Benner, M. Hinze, J. ter Maten (eds.), Model Reduction for Circuit Simulation. Springer-Verlag, Berlin/Heidelberg.

P. Benner, L. Feng
On Recycling Krylov Subspaces for Solving Linear Systems with Successive Right-Hand Sides with Applications in Model Reduction.

In Model Reduction for Circuit Simulation, P. Benner, M. Hinze, J. ter Maten (eds.), Springer-Verlag, Berlin/Heidelberg.

P. Benner
System-Theoretic Methods for Model Reduction of Large-Scale Systems: Simulation, Control, and Inverse Problems

In I. Troch, F. Breitenecker: Proceedings of MathMod 2009, Vienna, February 11-13, 2009, ARGESIM Report Nr. 35, S. 126-145, 2009.

P. Benner
Advances in Balancing-Related Model Reduction for Circuit Simulation

In J. Roos und L.R.J. Costa (Hrsg.), Scientific Computing in Electrical Engineering SCEE 2008, Mathematics in Industry, Vol. 14, pp. 469-482, Springer-Verlag, Berlin/Heidelberg, 2010.
DOI: 10.1007/978-3-642-12294-1_58.

P. Benner and A. Schneider
Model order and terminal reduction approaches via matrix decomposition and low rank approximation

In J. Roos und L.R.J. Costa (Hrsg.), Scientific Computing in Electrical Engineering SCEE 2008, Mathematics in Industry, Vol. 14, pp. 523-530, Springer-Verlag, Berlin/Heidelberg, 2010.
DOI: 10.1007/978-3-642-12294-1_64.

T. Reis and T. Stykel
PABTEC: Passivity-preserving balanced truncation for electrical circuits.
Erscheint in IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2010.

T. Reis and T. Stykel
Passivity-preserving balanced truncation model reduction of circuit equations.

In J. Roos und L.R.J. Costa (Hrsg.), Mathematics in Industry, Vol. 14, pp. 483-490, Springer-Verlag, Berlin/Heidelberg, 2010.
DOI: 10.1007/978-3-642-12294-1_59.

P. Benner, L. Feng, E. B. Rudnyi
Using the Superposition Property for Model Reduction of Linear Systems with a Large Number of Inputs

In Proceedings of the 18th International Symposium on Mathematical Theory of Networks and Systems (MTNS2008),
Virginia Tech, Blacksburg, Virginia, USA, July 28-August 1, 2008 , 12 pages, 2008.