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



2001

1016.

G\"unther, Michael; Kv{\ae}rno, A.; Rentrop, P.
Multirate Partitioned {Runge-Kutta} Methods
BIT, 41 (3) :504--515
2001

1015.

Günther, Michael; Kværno, Anne; Rentrop, Peter
Multirate Partitioned Runge-Kutta Methods
BIT Numerical Mathematics, 41 (3) :504–514
2001
Herausgeber: Springer Netherlands

1014.

Günther, Michael; Kvaern{\o}, Anne; Rentrop, Peter
Multirate partitioned runge-kutta methods
BIT Numerical Mathematics, 41 :504--514
2001
Herausgeber: Kluwer Academic Publishers

1013.

Schandl, Bernd; Klamroth, Kathrin; Wiecek, Margaret M.
Norm-Based Approximation in Bicriteria Programming
Computational Optimization and Applications, 20 (1) :23-42
2001

1012.

Schandl, Bernd; Klamroth, Kathrin; Wiecek, Margaret M.
Norm-based approximation in convex multicriteria programming
In Fleischmann, B. and Lasch, R. and Derigs, U. and Domschke, W. and Rieder, U., Editor, Operations Research Proceedings 2000, Seite 8-13
In Fleischmann, B. and Lasch, R. and Derigs, U. and Domschke, W. and Rieder, U., Editor
Herausgeber: Springer-Verlag
2001

1011.

Houben, S. H. M. J.; Maten, E. J. W.; Maubach, J. M.; Peters, J. M. F.
Novel time-domain methods for free-running oscillators
ECCTD'01 - Proceedings of the 15TH European Conference on Circuit Theory and Design, Seite III-393 - III-396
Helsinki University of Technology
2001

1010.

Denk, Georg; Günther, Michael; Simeon, Bernd
Numerische Simulation in Chip-Design und Fahrzeugtechnik
2001

1009.

Jacob, Birgit; Partington, Jonathan R.
On the boundedness and continuity of the spectral factorization mapping
SIAM J. Control Optim., 40 (1) :88--106
2001

1008.

Günther, Michael
Partielle differential-algebraische Systeme in der numerischen Zeitbereichsanalyse elektrischer Schaltungen
VDI-Verlag
2001

1007.

Günther, Michael; Hoschek, Markus
Partitionierung Strategies in Circuit Simulation
2001

1006.

Günther, Michael; Rentrop, Peter
PDAE-Netzwerkmodelle in der elektrischen Schaltungssimulation
:31-38
2001
Herausgeber: Frankfurt

1005.

Klamroth, Kathrin
Planar location problems with line barriers
Optimization, 49 :517-527
2001

1004.

Arnold, Martin; Günther, Michael
Preconditioned dynamic iteration for coupled differential-algebraic systems
BIT Numerical Mathematics, 1 (41) :1–25
2001
Herausgeber: Springer Netherlands

1003.

Arnold, Martin; Günther, Michael
Preconditioned dynamic iteration for coupled differential-algebraic systems
BIT Numerical Mathematics, 41 (41) :1--25
2001
Herausgeber: Kluwer Academic Publishers

1002.

Bunker, Philip R.; Chan, M. C.; Kraemer, Wolfgang P.; Jensen, Per
Predicted rovibronic spectra of CH\(_{2}\)\(^{+}\) and CD\(_{2}\)\(^{+}\)
Chemical Physics Letters, 341 (3-4) :358-362
2001

1001.

Bunker, Philip R.; Chan, M. C.; Kraemer, Wolfgang P.; Jensen, Per
Predicted rovibronic spectra of CH\(_{2}\)\(^{+}\) and CD\(_{2}\)\(^{+}\)
Chemical Physics Letters, 341 (3-4) :358-362
2001

1000.

Bunker, Philip R.; Chan, M. C.; Kraemer, Wolfgang P.; Jensen, Per
Predicted rovibronic spectra of CH2+ and CD2+
Chemical Physics Letters, 341 (3-4) :358-362
2001

999.

Jensen, Per; Buenker, Robert J.; Gu, Jian-ping; Osmann, Gerald; Bunker, Philip R.
Refined potential-energy surfaces for the X\verb=~=\(^{2}\)A'' and A\verb=~=\(^{2}\)A' electronic states of the HO\(_{2}\) molecule
Canadian Journal of Physics, 79 (2-3) :641-652
2001
Herausgeber: NRC Research Press Ottawa, Canada

998.

Jensen, Per; Buenker, Robert J.; Gu, Jian-ping; Osmann, Gerald; Bunker, Philip R.
Refined potential-energy surfaces for the X\verb=~=\(^{2}\)A'' and A\verb=~=\(^{2}\)A' electronic states of the HO\(_{2}\) molecule
Canadian Journal of Physics, 79 (2-3) :641-652
2001
Herausgeber: NRC Research Press Ottawa, Canada

997.

Jensen, Per; Buenker, Robert J.; Gu, Jian-ping; Osmann, Gerald; Bunker, Philip R.
Refined potential-energy surfaces for the X~2A" and A~2A' electronic states of the HO2 molecule
Canadian Journal of Physics, 79 (2-3) :641-652
2001
Herausgeber: NRC Research Press Ottawa, Canada

996.

Lampe, S.; Brachtendorf, H. G.; Maten, E. J. W.; Onneweer, S. P.; Laur, R.
Robust Limit Cycle Calculations of Oscillators
Lecture Notes in Computational Science and Engineering
Seite 233--240
Herausgeber: Springer Berlin Heidelberg
2001
233--240

995.

Günther, M.; Hoschek, M.; Weiner, R.
ROW methods adapted to a cheap Jacobian
Applied Numerical Mathematics, 37 (1) :231–240
2001
Herausgeber: Elsevier

994.

Günther, Michael; Hoschek, Markus; Weiner, R
ROW methods adapted to a cheap Jacobian
Applied numerical mathematics, 37 (1-2) :231--240
2001
Herausgeber: North-Holland

993.

G\"unther, Michael; Hoschek, M.; Weiner, R.
ROW methods adapted to a cheap Jacobian}
APNUM, 37 :231-240
2001

992.

Günther, Michael; Hoschek, Markus
ROW-type Integration Methods for Circuit Simulation Packages
:448-455
2001
Herausgeber: B.G. Teubner, Stuttgart