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



2007

1643.

Greb, Julia; Pulch, Roland
Simulation of quasiperiodic signals via warped MPDAEs using Houben’s approach
In Ciuprina, Gabriela and Ioan, Daniel, Editor
Seite 237–243
Herausgeber: Springer Berlin Heidelberg
2007
237–243

1642.

Busch, Ekkehard; Rekowski, Reimund; Mölleken, Helga
Speisepilze mit medizinisch wirksamen Inhaltsstoffen (1)
Zeitschrift für Phytotherapie, 28 (3) :115--124
2007

1641.

Verhoeven, A.; Maten, E. J. W. Ter; Mattheij, R. M. M.; Tasi{\'{c}}, B.
Stability analysis of the {BDF} Slowest-first multirate methods
International Journal of Computer Mathematics, 84 (6) :895--923
Juni 2007
Herausgeber: Informa {UK} Limited

1640.

Crone, Benedikt
Synthesis of 4-Iodo-3-furanones Utilizing Electrophile-Induced Tandem Cyclization/1,2-Migration Reactions
The Journal of Organic Chemistry, 72 (14) :5435–5438
2007
ISSN: 0022-3263

1639.

Liébert, Clémence
Synthesis of Heterocyclic Systems by Transition‐Metal‐Catalyzed Cyclization‐Migration Reactions – A Diversity‐Oriented Strategy for the Construction of Spirocyclic 3(2H)‐Furanones and 3‐Pyrrolones
European Journal of Organic Chemistry, 2007 (22) :3711–3717
2007
ISSN: 1099-0690

1638.

Niedojadlo, Anita; Becker, Karl Heinz; Kurtenbach, Ralf; Wiesen, Peter
The contribution of traffic and solvent use to the total NMVOC emission in a German city derived from measurements and CMB modelling
Atmospheric Environment, 41 (33) :7108-7126
2007
Herausgeber: Pergamon

1637.

Niedojadlo, Anita; Becker, Karl Heinz; Kurtenbach, Ralf; Wiesen, Peter
The contribution of traffic and solvent use to the total NMVOC emission in a German city derived from measurements and CMB modelling
Atmospheric Environment, 41 (33) :7108-7126
2007
Herausgeber: Pergamon

1636.

Niedojadlo, Anita; Becker, Karl Heinz; Kurtenbach, Ralf; Wiesen, Peter
The contribution of traffic and solvent use to the total NMVOC emission in a German city derived from measurements and CMB modelling
Atmospheric Environment, 41 (33) :7108-7126
2007
Herausgeber: Pergamon

1635.

Boschke, E.; Böhmer, U.; Lange, J.; Constapel, M.; Schellenträger, M.; Bley, T.
The use of respirometric measurements to determine the toxicity of textile dyes in aqueous solution and after oxidative decolourisation processes.
Chemosphere, 67 :2163--2168
2007

1634.

Yurchenko, Sergey N.; Thiel, Walter; Jensen, Per
Theoretical ROVibrational Energies (TROVE): A robust numerical approach to the calculation of rovibrational energies for polyatomic molecules
Journal of Molecular Spectroscopy, 245 (2) :126-140
2007
Herausgeber: Academic Press

1633.

Yurchenko, Sergey N.; Thiel, Walter; Jensen, Per
Theoretical ROVibrational Energies (TROVE): A robust numerical approach to the calculation of rovibrational energies for polyatomic molecules
Journal of Molecular Spectroscopy, 245 (2) :126-140
2007
Herausgeber: Academic Press

1632.

Yurchenko, Sergey N.; Thiel, Walter; Jensen, Per
Theoretical ROVibrational Energies (TROVE): A robust numerical approach to the calculation of rovibrational energies for polyatomic molecules
Journal of Molecular Spectroscopy, 245 (2) :126-140
2007
Herausgeber: Academic Press

1631.

Odaka, Tina Erica; Melnikov, Vladlen V.; Jensen, Per; Hirano, Tsuneo; Lang, Bruno; Langer, Peter
Theoretical study of the double Renner effect for A\verb=~=\(^{2}\)\(\Pi\) MgNC/MgCN: Higher excited rovibrational states
The Journal of Chemical Physics, 126 (9) :094301
2007

1630.

Odaka, Tina Erica; Melnikov, Vladlen V.; Jensen, Per; Hirano, Tsuneo; Lang, Bruno; Langer, Peter
Theoretical study of the double Renner effect for A\verb=~=\(^{2}\)\(\Pi\) MgNC/MgCN: Higher excited rovibrational states
The Journal of Chemical Physics, 126 (9) :094301
2007

1629.

Odaka, Tina Erica; Melnikov, Vladlen V.; Jensen, Per; Hirano, Tsuneo; Lang, Bruno; Langer, Peter
Theoretical study of the double Renner effect for A~2Π MgNC/MgCN: Higher excited rovibrational states
The Journal of Chemical Physics, 126 (9) :094301
2007

1628.

Voss, T.; Pulch, R.; Maten, E. J. W.; Guennouni, A. El
Trajectory Piecewise Linear Approach for Nonlinear Differential-Algebraic Equations in circuit simulation
In G. Ciuprina and D. Ioan, Editor, Scientific Computing in Electrical Engineering at SCEE 2006 Band 11 aus Mathematics in Industry
Seite 167--173
Herausgeber: Springer Berlin Heidelberg
2007
167--173

1627.

Voϐ, T.; Pulch, R.; Maten, E. J. W.; El Guennouni, A.
Trajectory piecewise linear approach for nonlinear differential-algebraic equations in circuit simulation
In Ciuprina, Gabriela and Ioan, Daniel, Editor
Seite 167–173
Herausgeber: Springer Berlin Heidelberg
2007
167–173

1626.

Schiewek, Ralf; Schellenträger, Marc; Mönnikes, René; Lorenz, Matthias; Giese, Ronald; Brockmann, Klaus Josef; Gäb, Siegmar; Benter, Thorsten; Schmitz, Oliver Johannes
Ultrasensitive determination of polycyclic aromatic compounds with atmospheric-pressure laser ionization as an interface for GC/MS
Analytical Chemistry, 79 (11) :4135-4140
2007

1625.

Schiewek, Ralf; Schellentr{ä}ger, Marc; M{ö}nnikes, Ren{é}; Lorenz, Matthias; Giese, Ronald; Brockmann, Klaus Josef; G{ä}b, Siegmar; Benter, Thorsten; Schmitz, Oliver Johannes
Ultrasensitive determination of polycyclic aromatic compounds with atmospheric-pressure laser ionization as an interface for GC/MS
Analytical Chemistry, 79 (11) :4135-4140
2007

1624.

Schiewek, Ralf; Schellentr{ä}ger, Marc; M{ö}nnikes, Ren{é}; Lorenz, Matthias; Giese, Ronald; Brockmann, Klaus Josef; G{ä}b, Siegmar; Benter, Thorsten; Schmitz, Oliver Johannes
Ultrasensitive determination of polycyclic aromatic compounds with atmospheric-pressure laser ionization as an interface for GC/MS
Analytical Chemistry, 79 (11) :4135-4140
2007

1623.

Eisner, Tanja; Farkas, Bálint; Nagel, Rainer; Serény, András
Weakly and almost weakly stable C\sb 0-semigroups
Int. J. Dyn. Syst. Differ. Equ., 1 (1) :44-57
2007
2006

1622.

Jakubek, Z. J.; Bunker, Philip R.; Zachwieja, M.; Nakhate, S. G.; Simard, B.; Yurchenko, Sergey N.; Thiel, Walter; Jensen, Per
A dispersed fluorescence and ab initio investigation of the X\verb=~=\(^{2}\)B\(_{1}\) and A\verb=~=\(^{2}\)A\(_{1}\) electronic states of the PH\(_{2}\) molecule
The Journal of Chemical Physics, 124 (9) :094306
2006

1621.

Jakubek, Z. J.; Bunker, Philip R.; Zachwieja, M.; Nakhate, S. G.; Simard, B.; Yurchenko, Sergey N.; Thiel, Walter; Jensen, Per
A dispersed fluorescence and ab initio investigation of the X\verb=~=\(^{2}\)B\(_{1}\) and A\verb=~=\(^{2}\)A\(_{1}\) electronic states of the PH\(_{2}\) molecule
The Journal of Chemical Physics, 124 (9) :094306
2006

1620.

Jakubek, Z. J.; Bunker, Philip R.; Zachwieja, M.; Nakhate, S. G.; Simard, B.; Yurchenko, Sergey N.; Thiel, Walter; Jensen, Per
A dispersed fluorescence and ab initio investigation of the X~2B1 and A~2A1 electronic states of the PH2 molecule
The Journal of Chemical Physics, 124 (9) :094306
2006

1619.

Verhoeven, A.; Guennouni, A. El; Maten, E. J. W.; Mattheij, R. M. M.
A General Compound Multirate Method for Circuit Simulation Problems
In A. M. Anile and G. Ali and G. Mascali, Editor, Scientific Computing in Electrical Engineering Band 9 aus Mathematics in Industry
Seite 143--150
Herausgeber: Springer Berlin Heidelberg
2006
143--150