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



2020

4316.

Kapllani, Lorenc; Teng, Long
Deep Learning algorithms for solving high dimensional nonlinear Backward Stochastic Differential Equations
arXiv preprint arXiv:2010.01319
2020

4315.

Bohrmann-Linde, Claudia
Der Stoff für Stoffe - Herkunft und Eigenschaften von Textilfasern
Grundschule Sachunterricht, 88 :23--31
2020

4314.

Bohrmann-Linde, Claudia; Kleefeldt, Simon
Der Wärme auf der Spur- Einsatz von Wärmebildkameras bei chemischen Schulversuchen
Naturwissenschaften im Unterricht - Chemie (177/178) :20-23
2020

4313.

Zargaran, Amin; Janoske, Uwe
Development of an algorithm for reconstruction of droplet history based on deposition pattern using computational fluid dynamics and convolutional neural network
Computer Methods in Applied Mechanics and Engineering, 372 :113442
Dezember 2020
Herausgeber: Elsevier {BV}

4312.

Wyss, Christian
Dichotomous Hamiltonians and Riccati equations for systems with unbounded control and observation operators
, Control Theory of Infinite-Dimensional Systems Band 277 aus Oper. Theory Adv. Appl.
Seite 158-194
Herausgeber: Birkhäuser
2020
158-194

4311.

Lang, B.; Müller, D.; Arndt, H.; Bartel, A.; Blankenagel, K.; Gottschalk, H.; Günther, M.; Humbert, L.; Jacob, B.; Klamroth, K.; Rüdiger, B.; Späth, B.; Stiglmayr, M.; Wyss, C.
Die Stimmen der Fächer hören
In Michaela Heer and Ulrich Heinen, Editor
Kapitel Fachlichkeitsaspekte im Mathematik- und Informatikstudium, Seite 413--428
Herausgeber: Schoeningh Ferdinand GmbH
2020
413--428

4310.

[english] Bohrmann-Linde, Claudia; Zeller, Diana; Kläger, Sebastian
Digital Learning Tools for Teaching ''Alternative Solar Cells with Titanium Dioxide'' (ALSO-TiO2) - A Contribution to Sustainable Development Education
World Journal of Chemical Education, 8 (1) :29--39
2020

4309.

Ehrhardt, Matthias
Dirac particles in transparent quantum graphs: Tunable transport of relativistic quasiparticles in branched structures
Physical Review E, 101 (6) :062208
2020
Herausgeber: American Physical Society

4308.

Ehrhardt, Matthias
Dirac particles in transparent quantum graphs: Tunable transport of relativistic quasiparticles in branched structures
Physical Review E, 101 (6) :062208
2020
Herausgeber: American Physical Society

4307.

Ehrhardt, Matthias
Dirac particles in transparent quantum graphs: Tunable transport of relativistic quasiparticles in branched structures
Physical Review E, 101 (6) :062208
2020
Herausgeber: American Physical Society

4306.

Heilmann, Margareta; Nasaireh, Fadel; Raşa, Ioan
Discrete operators associated with linking operators
Analysis and Mathematical Physics, 10 (72)
2020

4305.

Günther, Michael; Bartel, Andreas; Jacob, Birgit; Reis, Timo
Dynamic iteration schemes and port-Hamiltonian formulation in coupled DAE circuit simulation
arXiv preprint arXiv:2004.12951
2020

4304.

Ehrhardt, Matthias
Elliptical and Archimedean copula models: An application to the price estimation of portfolio credit derivatives
Journal of Credit Risk, 17 (1) :1–29
2020
Herausgeber: Incisive Media

4303.

Ehrhardt, Matthias
Elliptical and Archimedean copula models: An application to the price estimation of portfolio credit derivatives
Journal of Credit Risk, 17 (1) :1–29
2020
Herausgeber: Incisive Media

4302.

Ehrhardt, Matthias
Elliptical and Archimedean copula models: an application to the price estimation of portfolio credit derivatives
Journal of Credit Risk
2020

4301.

Lengauer, C.; Apel, S.; Bolten, M.; Chiba, S.; Rüde, U.; Teich, J.; Größlinger, A.; Hannig, F.; Köstler, H.; Claus, L.; Grebhahn, A.; Groth, S.; Kronawitter, S.; Kuckuk, S.; Rittich, H.; Schmitt, C.; Schmitt, J.
ExaStencils: Advanced Multigrid Solver Generation
In H. J. Bungartz and S. Reiz and B. Uekermann and P. Neumann and W. Nagel, Editor, Software for Exascale Computing - SPPEXA 2016-2019Band136ausLNCS, Seite 405--452
In H. J. Bungartz and S. Reiz and B. Uekermann and P. Neumann and W. Nagel, Editor
Herausgeber: Springer, Cham
2020

4300.

Lengauer, C.; Apel, S.; Bolten, Matthias; Chiba, S.; Rüde, U.; Teich, J.; Größlinger, A.; Hannig, F.; Köstler, H.; Claus, L.; Grebhahn, A.; Groth, S.; Kronawitter, S.; Kuckuk, S.; Rittich, H.; Schmitt, C.; Schmitt, J.
ExaStencils: Advanced Multigrid Solver Generation
In H. J. Bungartz and S. Reiz and B. Uekermann and P. Neumann and W. Nagel, Editor, Software for Exascale Computing - SPPEXA 2016-2019Band136ausLNCS, Seite 405-452
In H. J. Bungartz and S. Reiz and B. Uekermann and P. Neumann and W. Nagel, Editor
Herausgeber: Springer, Cham
2020

4299.

Lengauer, C.; Apel, S.; Bolten, M.; Chiba, S.; Rüde, U.; Teich, J.; Größlinger, A.; Hannig, F.; Köstler, H.; Claus, L.; Grebhahn, A.; Groth, S.; Kronawitter, S.; Kuckuk, S.; Rittich, H.; Schmitt, C.; Schmitt, J.
ExaStencils: Advanced Multigrid Solver Generation
In H. J. Bungartz and S. Reiz and B. Uekermann and P. Neumann and W. Nagel, Editor, Software for Exascale Computing - SPPEXA 2016-2019Band136ausLNCS, Seite 405-452
In H. J. Bungartz and S. Reiz and B. Uekermann and P. Neumann and W. Nagel, Editor
Herausgeber: Springer, Cham
2020

4298.

Borghi, Federica; Celik, Ibrahim E.; Biallas, Phillip; Mittendorf, Fabia
Expanding the Versatile Reactivity of Diazido Malonic Acid Esters and Amides: Decarboxylation and Imine Formation
European Journal of Organic Chemistry, 2020 (28) :4389–4398
2020
ISSN: 1434-193X, 1099-0690

4297.

Grandrath, Rebecca; Bohrmann-Linde, Claudia
Experimentalkurs zu Biologischen Brennstoffzellen. Begleitendes E-Book für die Sekundarstufe I [Lehrerversion]
2020

4296.

Grandrath, Rebecca; Bohrmann-Linde, Claudia
Experimentalkurs zu Biologischen Brennstoffzellen. Begleitendes E-Book für die Sekundarstufe I [Schülerband]
2020
Wuppertal

4295.

[english] Grandrath, Rebecca; Bohrmann-Linde, Claudia
Fuel cells in the chemistry classroom - a brief survey among German chemistry teachers
ARISE, 3 (1) :13-16
2020
ISSN: 2626-9902

4294.

Kreidler, Henrik; Siewert, Sita
Gelfand-type theorems for dynamical Banach modules
Mathematische Zeitschrift
2020

4293.

Backhaus, Jan; Bolten, Matthias; Doganay, Onur Tanil; Ehrhardt, Matthias; Engel, Benedikt; Frey, Christian; Gottschalk, Hanno; Günther, Michael; Hahn, Camilla; Jäschke, Jens; Jaksch, Peter; Klamroth, Kathrin; Liefke, Alexander; Luft, Daniel; Mäde, Lucas; Marciniak, Vincent; Reese, Marco; Schultes, Johanna; Schulz, Volker; Schmitz, Sebastian; Steiner, Johannes; Stiglmayr, Michael
GivEn - Shape Optimization for Gas Turbines in Volatile Energy Networks
In S. Göttlich and M. Herty and A. Milde, Editor, Mathematical MSO for Power Engineering and ManagementausMathematics in Industry
In S. Göttlich and M. Herty and A. Milde, Editor
Herausgeber: Springer
2020

4292.

Doganay, Onur Tanil; Gottschalk, Hanno; Hahn, Camilla; Klamroth, Kathrin; Schultes, Johanna; Stiglmayr, Michael
Gradient based biobjective shape optimization to improve reliability and cost of ceramic components
Optimization and Engineering, 21 (4) :1359-1387
2020
Herausgeber: Springer