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



2024

5242.

Bartel, Andreas; Clemens, Markus; Günther, Michael; Jacob, Birgit; Reis, Timo
Port-Hamiltonian systems’ modelling in electrical engineering
In van Beurden, Martijn and Budko, Neil V. and Ciuprina, Gabriela and Schilders, Wil and Bansal, Harshit and Barbulescu, Ruxandra, Editor, Scientific Computing in Electrical Engineering: SCEE 2022, Amsterdam, The Netherlands, July 2022ausMathematics in Industry, Seite 133–143
In van Beurden, Martijn and Budko, Neil V. and Ciuprina, Gabriela and Schilders, Wil and Bansal, Harshit and Barbulescu, Ruxandra, Editor
Herausgeber: Springer Cham
2024

5241.

Bartel, Andreas; Clemens, Markus; Günther, Michael; Jacob, Birgit; Reis, Timo
Port-Hamiltonian systems’ modelling in electrical engineering
In van Beurden, Martijn and Budko, Neil V. and Ciuprina, Gabriela and Schilders, Wil and Bansal, Harshit and Barbulescu, Ruxandra, Editor, Scientific Computing in Electrical Engineering: SCEE 2022, Amsterdam, The Netherlands, July 2022ausMathematics in Industry, Seite 133–143
In van Beurden, Martijn and Budko, Neil V. and Ciuprina, Gabriela and Schilders, Wil and Bansal, Harshit and Barbulescu, Ruxandra, Editor
Herausgeber: Springer Cham
2024

5240.

Vinod, Vivin; Lyu, Dongyu; Ruth, Marcel; Kleinekathöfer, Ulrich; Schreiner, Peter R.; Zaspel, Peter
Predicting Molecular Energies of Small Organic Molecules with Multifidelity Methods.
2024

5239.

Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Reducing Obizhaeva-Wang-type trade execution problems to LQ stochastic control problems
Finance and Stochastics, 28 (3) :813–863
2024
Herausgeber: Springer Verlag

5238.

Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Reducing Obizhaeva-Wang-type trade execution problems to LQ stochastic control problems
Finance and Stochastics, 28 (3) :813–863
2024
Herausgeber: Springer Verlag

5237.

Saini, B. S.; Miettinen, K.; Klamroth, K.; Steuer, R. E.; Dächert, K.
SCORE Band Visualizations: Supporting Decision Makers in Comparing High-Dimensional Outcome Vectors in Multiobjective Optimization
IEEE Access, 12 :164371—164388
2024

5236.

Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Self-exciting price impact via negative resilience in stochastic order books
Annals of Operations Research, 336 (1) :637–659
2024
Herausgeber: Springer Netherlands

5235.

Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Self-exciting price impact via negative resilience in stochastic order books
Annals of Operations Research, 336 (1) :637–659
2024
Herausgeber: Springer Netherlands

5234.

Andersen, Kim Allan; Boomsma, Trine Krogh; Efkes, Britta; Forget, Nicolas
Sensitivity Analysis of the Cost Coefficients in Multiobjective Integer Linear Optimization
Management Science
2024

5233.

[english] Grandrath, Rebecca; Bohrmann-Linde, Claudia
Simple biofuel cells: the superpower of baker’s yeast
Science in School - The European journal for science teachers, 66
Februar 2024

5232.

Wissdorf, Walter; Thinius, Marco; Benter, Thorsten
Simulation of Space Charge Effects in Fourier Transform Quadrupole Ion Traps (FT-QITs)
Journal of the American Society for Mass Spectrometry, 35 (12) :2969—2983
Dezember 2024
ISSN: 1044-0305, 1879-1123

5231.

Palitta, Davide; Schweitzer, Marcel; Simoncini, Valeria
Sketched and truncated polynomial Krylov subspace methods: Matrix Sylvester equations
Math. Comp.
2024

5230.

Liu, Qian
Small-signal synchronization stability of sequence-decomposed grid-forming IBRs
Dezember 2024

5229.

Antunes, Carlos Henggeler; Fonseca, Carlos M.; Paquete, Luís; Stiglmayr, Michael
Special issue on exact and approximation methods for mixed-integer multi-objective optimization
Mathematical Methods of Operations Research
August 2024
Herausgeber: Springer Science and Business Media LLC
ISSN: 1432-5217

5228.

Hastir, Anthony; Jacob, Birgit; Zwart, Hans
Spectral analysis of a class of linear hyperbolic partial differential equations
IEEE Control Systems Letters, 8 :766-771
2024

5227.

Bartel, Andreas; Diab, Malak; Frommer, Andreas; Günther, Michael; Marheineke, Nicole
Splitting Techniques for DAEs with port-Hamiltonian Applications
Preprint
2024

5226.

Bartel, Andreas; Diab, Malak; Frommer, Andreas; Günther, Michael; Marheineke, Nicole
Splitting Techniques for DAEs with port-Hamiltonian Applications
Preprint
2024

5225.

Bartel, A.; Diab, M.; Frommer, A.; G\"unther ; Marheineke, N.
Splitting Techniques for DAEs with port-Hamiltonian Applications
2024

5224.


Sprachsensibler Chemieunterricht digital umgesetzt - Ein Seminarexkurs im Rahmen des Praxissemesters
2024

5223.

Ackermann, Julia; Ehrhardt, Matthias; Kruse, Thomas; Tordeux, Antoine
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
arXiv preprint arXiv:2401.17954
2024

5222.

Ackermann, Julia; Ehrhardt, Matthias; Kruse, Thomas; Tordeux, Antoine
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
Preprint
2024

5221.

Ackermann, Julia; Ehrhardt, Matthias; Kruse, Thomas; Tordeux, Antoine
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
Preprint
2024

5220.

Ackermann, Julia; Ehrhardt, Matthias; Kruse, Thomas; Tordeux, Antoine
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
Preprint
2024

5219.

Jacob, Birgit; Glück, Jochen; Meyer, Annika; Wyss, Christian; Zwart, Hans
Stability via closure relations with applications to dissipative and port-Hamiltonian systems
J. Evol. Equ., 24 :Paper No. 62
2024

5218.

Clemens, Markus; Henkel, Marvin-Lucas; Kasolis, Fotios; Günther, Michael
Structural Aspects of Electromagneto-Quasistatic Field Formulations of Darwin-Type Derived in the Port-Hamiltonian System Framework
TechRxiv
2024
Herausgeber: IEEE