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



2023

5113.

Bartel, A.; Günther, M.; Jacob, Birgit; Reis, T.
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems
Numer. Math., 155 (1-2) :1-34
2023

5112.

Farkas, Bálint; Jacob, Birgit; Reis, Timo; Schmitz, Merlin
Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems
2023

5111.

Frommer, Andreas; Günther, Michael; Liljegren-Sailer, Björn; Marheineke, Nicole
Operator splitting for port-Hamiltonian systems
arXiv preprint arXiv:2304.01766
2023

5110.

Frommer, Andreas; Günther, Michael; Liljegren-Sailer, Björn; Marheineke, Nicole
Operator splitting for port-Hamiltonian systems
Preprint
2023

5109.

Frommer, Andreas; Günther, Michael; Liljegren-Sailer, Björn; Marheineke, Nicole
Operator splitting for port-Hamiltonian systems
Preprint
2023

5108.

Bartel, Andreas; Diab, Malak; Frommer, Andreas; Günther, Michael
Operator splitting for semi-explicit differential-algebraic equations and port-Hamiltonian DAEs
Preprint
2023

5107.

Bartel, Andreas; Diab, Malak; Frommer, Andreas; Günther, Michael
Operator splitting for semi-explicit differential-algebraic equations and port-Hamiltonian DAEs
Preprint
2023

5106.

Doganay, Onur Tanil; Klamroth, Kathrin; Lang, Bruno; Stiglmayr, Michael; Totzeck, Claudia
Optimal control for port-Hamiltonian systems and a new perspective on dynamic network flow problems
2023

5105.

Klamroth, Kathrin; Stiglmayr, Michael; Sudhoff, Julia
Ordinal optimization through multi-objective reformulation
European Journal of Operational Research, 311 (2) :427-443
2023
ISSN: 0377-2217

5104.

Illmann, Niklas; Patroescu-Klotz, Iulia; Wiesen, Peter
Organic acid formation in the gas-phase ozonolysis of α,β-unsaturated ketones
Physical Chemistry Chemical Physics, 25 (1) :106—116
2023
ISSN: 1463-9076, 1463-9084

5103.

Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Anh Nguyen, Tuan
Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations
Journal of Numerical Mathematics, 31 (1) :1–28
2023
Herausgeber: De Gruyter

5102.

Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Anh Nguyen, Tuan
Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations
Journal of Numerical Mathematics, 31 (1) :1–28
2023
Herausgeber: De Gruyter

5101.

Alves, A. Augusto; others
Parallel processing of radio signals and detector arrays in CORSIKA 8
PoS, ICRC2023 :469
2023

5100.

Heldmann, Fabian; Berkhahn, Sarah; Ehrhardt, Matthias; Klamroth, Kathrin
PINN training using biobjective optimization: The trade-off between data loss and residual loss
Journal of Computational Physics, 488 :112211
2023

5099.

Heldmann, Fabian; Ehrhardt, Matthias; Klamroth, Kathrin
PINN training using biobjective optimization: The trade-off between data loss and residual loss
Journal of Computational Physics, 488 :112211
2023
Herausgeber: Academic Press

5098.

Heldmann, Fabian; Ehrhardt, Matthias; Klamroth, Kathrin
PINN training using biobjective optimization: The trade-off between data loss and residual loss
Journal of Computational Physics, 488 :112211
2023
Herausgeber: Academic Press

5097.

Acu, Ana-Maria; Heilmann, Margareta; Raşa, Ioan; Seserman, Andra
Poisson approximation to the binomial distribution: extensions to the convergence of positive operators
Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117
2023

5096.

Bartel, Andreas; Clemens, Markus; Günther, Michael; Jacob, Birgit; Reis, Timo
Port-{H}amiltonian Systems Modelling in Electrical Engineering
arXiv preprint arXiv:2301.02024
2023

5095.

Jacob, Birgit; Totzeck, Claudia
Port-Hamiltonian structure of interacting particle systems and its mean-field limit
2023

5094.

Bartel, Andreas; Clemens, Markus; Günther, Michael; Jacob, Birgit; Reis, Timo
Port-Hamiltonian Systems Modelling in Electrical Engineering
arXiv preprint arXiv:2301.02024
2023

5093.

Bahja, Ali Rida
Pose Estimation using Deep Learning and Systematic Dataset Generation for Industrial Manufacturing
2023

5092.

Abel, Ulrich; Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
Positive linear operators preserving certain monomials on [0, ∞)
Dolomites Research Notes on Approximation, 16 :1-9
2023
ISSN: 2035-6803

5091.

Bell, David M.; Cirtog, Manuela; Doussin, Jean-François; Fuchs, Hendrik; Illmann, Jan Niklas; Muñoz, Amalia; Patroescu-Klotz, Iulia; Picquet-Varrault, Bénédicte; Ródenas, Mila; Saathoff, Harald
Preparation of Experiments: Addition and In Situ Production of Trace Gases and Oxidants in the Gas Phase
Springer International Publishing :129—161
2023

5090.

Morejon, Leonel; Condorelli, Antonio; Biteau, Jonathan; Kampert, Karl-Heinz
Propagation of Ultra High-Energy Cosmic Rays in light of the latest EBL constraints
PoS, ICRC2023 :283
2023

5089.

Ahmed, Mustafa
Quantifizierung der Genauigkeit der Co-Simulation Scalar Potential Finite Difference Methode bei der Expositionsbestimmung von Menschen durch die vernachlässigte Rückwirkung der körperinduzierten Ströme auf das magnetische Quellfeld
2023