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



1996

616.

Bunker, Philip R.; Jensen, Per; Yamaguchi, Yukio; Schaefer III, Henry F.
The Rovibrational Energy Levels of Quasilinear c\verb=~= \(^{1}\)A\(_{1}\) Methylene
Journal of Molecular Spectroscopy, 179 (2) :263-268
1996
Herausgeber: Academic Press

615.

Bunker, Philip R.; Jensen, Per; Yamaguchi, Yukio; Schaefer III, Henry F.
The Rovibrational Energy Levels of Quasilinear c~ 1A1 Methylene
Journal of Molecular Spectroscopy, 179 (2) :263-268
1996
Herausgeber: Academic Press

614.

Arste, J.; Klamroth, Kathrin; Mengersen, Ingrid
Three color Ramsey numbers for small graphs
Utilitas Mathematica, 49 :85--96
1996

613.

[german] Tausch, Michael W.
Ungleiche Gleichgewichte
{CHEMKON}, 3 (3) :123--127
1996
Herausgeber: Wiley
1995

612.

Mengel, Markus; Jensen, Per
A Theoretical Study of the Stark Effect in Triatomic Molecules: Application to H\(_{2}\)O
Journal of Molecular Spectroscopy, 169 (1) :73-91
1995
Herausgeber: Academic Press

611.

Mengel, Markus; Jensen, Per
A Theoretical Study of the Stark Effect in Triatomic Molecules: Application to H\(_{2}\)O
Journal of Molecular Spectroscopy, 169 (1) :73-91
1995
Herausgeber: Academic Press

610.

Mengel, Markus; Jensen, Per
A Theoretical Study of the Stark Effect in Triatomic Molecules: Application to H2O
Journal of Molecular Spectroscopy, 169 (1) :73-91
1995
Herausgeber: Academic Press

609.

Jensen, Per; Brumm, Martin; Kraemer, Wolfgang P.; Bunker, Philip R.
A Treatment of the Renner Effect Using the MORBID Hamiltonian
Journal of Molecular Spectroscopy, 171 (1) :31-57
1995
Herausgeber: Academic Press

608.

Jensen, Per; Brumm, Martin; Kraemer, Wolfgang P.; Bunker, Philip R.
A Treatment of the Renner Effect Using the MORBID Hamiltonian
Journal of Molecular Spectroscopy, 171 (1) :31-57
1995
Herausgeber: Academic Press

607.

Jensen, Per; Brumm, Martin; Kraemer, Wolfgang P.; Bunker, Philip R.
A Treatment of the Renner Effect Using the MORBID Hamiltonian
Journal of Molecular Spectroscopy, 171 (1) :31-57
1995
Herausgeber: Academic Press

606.

Jensen, Per; Brumm, Martin; Kraemer, Wolfgang P.; Bunker, Philip R.
An ab Initio Calculation of the Rovibronic Energies of the CH\(_{2}\)\(^{+}\) Molecule
Journal of Molecular Spectroscopy, 172 (1) :194-204
1995
Herausgeber: Academic Press

605.

Jensen, Per; Brumm, Martin; Kraemer, Wolfgang P.; Bunker, Philip R.
An ab Initio Calculation of the Rovibronic Energies of the CH\(_{2}\)\(^{+}\) Molecule
Journal of Molecular Spectroscopy, 172 (1) :194-204
1995
Herausgeber: Academic Press

604.

Jensen, Per; Brumm, Martin; Kraemer, Wolfgang P.; Bunker, Philip R.
An ab Initio Calculation of the Rovibronic Energies of the CH2+ Molecule
Journal of Molecular Spectroscopy, 172 (1) :194-204
1995
Herausgeber: Academic Press

603.

Gerstberger, R.; Günther, M.
Charge-oriented extrapolation methods in digital circuit simulation
Applied Numerical Mathematics, 18 (1) :115–125
1995
Herausgeber: Elsevier

602.

Gerstberger, Robert; Günther, Michael
Charge-oriented extrapolation methods in digital circuit simulation
Applied numerical mathematics, 18 (1-3) :115--125
1995
Herausgeber: North-Holland

601.

Flaud, Jean-Marie; Camy-Peyret, C.; B{ü}rger, H.; Jensen, Per; Kozin, Igor N.
Experimental evidence for the formation of fourfold rovibrational energy clusters in the \(\nu\)\(_{1}\)/\(\nu\)\(_{3}\) vibrational states of H\(_{2}\)\(^{80}\)Se
Journal of Molecular Spectroscopy, 172 (1) :126-134
1995
Herausgeber: Academic Press

600.

Flaud, Jean-Marie; Camy-Peyret, C.; B{ü}rger, H.; Jensen, Per; Kozin, Igor N.
Experimental evidence for the formation of fourfold rovibrational energy clusters in the \(\nu\)\(_{1}\)/\(\nu\)\(_{3}\) vibrational states of H\(_{2}\)\(^{80}\)Se
Journal of Molecular Spectroscopy, 172 (1) :126-134
1995
Herausgeber: Academic Press

599.

Flaud, Jean-Marie; Camy-Peyret, C.; Bürger, H.; Jensen, Per; Kozin, Igor N.
Experimental evidence for the formation of fourfold rovibrational energy clusters in the ν1/ν3 vibrational states of H280Se
Journal of Molecular Spectroscopy, 172 (1) :126-134
1995
Herausgeber: Academic Press

598.

Heilmann, Margareta
Explicit Voronovskaja-type results for linear combinations of BDT-operators
Approximation Theory and its Applications, 11 (1) :54-61
1995

597.

Ehrhardt, M.
Finite Differenzenverfahren für hyperbolische Systeme mit absorbierenden Randbedingungen
Technische Universität Berlin
1995

596.

Jensen, Per; Li, Yan; Hirsch, Gerhard; Buenker, Robert J.; Lee, Timothy J.; Kozin, Igor N.
Fourfold clusters of rovibrational energies in H\(_{2}\)Te studied with an ab initio potential energy function
Chemical Physics, 190 (2-3) :179-189
1995

595.

Jensen, Per; Li, Yan; Hirsch, Gerhard; Buenker, Robert J.; Lee, Timothy J.; Kozin, Igor N.
Fourfold clusters of rovibrational energies in H\(_{2}\)Te studied with an ab initio potential energy function
Chemical Physics, 190 (2-3) :179-189
1995

594.

Jensen, Per; Li, Yan; Hirsch, Gerhard; Buenker, Robert J.; Lee, Timothy J.; Kozin, Igor N.
Fourfold clusters of rovibrational energies in H2Te studied with an ab initio potential energy function
Chemical Physics, 190 (2-3) :179-189
1995

593.

Breidohr, R.; Shestakov, Oleg; Setzer, Klaus-Dieter; Fink, Ewald H.
High-Resolution Study of the a \(^{3}\)\(\Sigma\)\(^{+}\) (a\(_{1}\) 1) → X \(^{1}\)\(\Sigma\)\(^{+}\) (X 0\(^{+}\)) Transitions of BiP and BiAs
Journal of Molecular Spectroscopy, 172 (2) :369-377
1995
Herausgeber: Academic Press

592.

Breidohr, R.; Shestakov, Oleg; Setzer, Klaus-Dieter; Fink, Ewald H.
High-Resolution Study of the a \(^{3}\)\(\Sigma\)\(^{+}\) (a\(_{1}\) 1) → X \(^{1}\)\(\Sigma\)\(^{+}\) (X 0\(^{+}\)) Transitions of BiP and BiAs
Journal of Molecular Spectroscopy, 172 (2) :369-377
1995
Herausgeber: Academic Press