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



2007

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

1618.

Bolten, M.; Sutmann, G.
A highly accurate and optimal method to calculate long range interactions
In J. Meinke and O. Zimmermann and S. Mohanty and U.H.E. Hansmann, Editor, Proceedings of the workshop ``From computational biophysics to systems biology''Band34ausNIC Series, Seite 189--192
In J. Meinke and O. Zimmermann and S. Mohanty and U.H.E. Hansmann, Editor
Herausgeber: John von Neumann Institute for Computing, Jülich
2006