Applied and Computational Mathematics (ACM)

Engineering

3D models of pc components

The advance in telecommunications and computer technology within the last decades is representative for the technological progress of the society. This highly visible progress is strongly driven by the development of new and more powerful electromagnetic devices and electric circuits, whose behavior is abstractly described by Maxwell's Equations (see Moore's Law). Their simulation yields large systems of equations, that are tightly coupled and due to higher integration and increasing frequencies additional multiphysical phenomena must be taken into account.

In those complex applications one faces typically one or several of the following subproblems (for example when modeling a desktop computer)

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

DOI: 10.1023/A:1021967112503

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

DOI: 10.1023/A:1011267305444

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

DOI: 10.1007/978-3-642-56656-1_2

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

DOI: 10.1137/S036301299935184X

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

DOI: 10.1080/02331930108844547

1004.

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

DOI: 10.1023/A:1021909032551

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

DOI: 10.1016/S0009-2614(01)00498-5

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

DOI: 10.1016/S0009-2614(01)00498-5

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

DOI: 10.1016/S0009-2614(01)00498-5

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

DOI: 10.1139/p01-018

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

DOI: 10.1139/p01-018

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

DOI: 10.1139/p01-018

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

DOI: 10.1007/978-3-642-56470-3_23

995.

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

DOI: 10.1016/S0168-9274(00)00040-4

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