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

5125.

Vinod, Vivin; Maity, Sayan; Zaspel, Peter; Kleinekathöfer, Ulrich
Multifidelity Machine Learning for Molecular Excitation Energies
J. Chem. Theory Comput., 19 (21) :7658-7670
2023

5124.

Beck, Christian; Jentzen, Arnulf; Kleinberg, Konrad; Kruse, Thomas
Nonlinear Monte Carlo methods with polynomial runtime for Bellman equations of discrete time high-dimensional stochastic optimal control problems
Preprint
2023

5123.

Beck, Christian; Jentzen, Arnulf; Kleinberg, Konrad; Kruse, Thomas
Nonlinear Monte Carlo methods with polynomial runtime for Bellman equations of discrete time high-dimensional stochastic optimal control problems
2023

5122.

Müller, Mats; Kemper, Svenja; Schlenkhoff, Andreas
Numerical modelling of the hydraulic capacity of grates inlets (OpenFOAM)
E-proceedings of the 40th IAHR World Congress in 2023 in Vienna, Austria.
2023

5121.

Finster, Rebecca; Kronschläger, Thomas; Grogorick, Linda; Robra-Bissantz, Susanne
Ok, gegen Cupids Pfeil hilft keine Firewall – Sichere(s) Daten durch ganzheitlichen Kompetenzaufbau
HMD - Praxis der Wirtschaftsinformatik, 61 :27–42
2023

5120.

Ehrhardt, Matthias; Kozitskiy, Sergey B
On a generalization of the split-step Padé method to the case of unknown vector-functions
Preprint IMACM
2023
Herausgeber: Bergische Universität Wuppertal

5119.

Ehrhardt, Matthias; Kozitskiy, Sergey B
On a generalization of the split-step Padé method to the case of unknown vector-functions
Preprint IMACM
2023
Herausgeber: Bergische Universität Wuppertal

5118.

Farkas, Bálint; Jacob, Birgit; Schmitz, Merlin
On exponential splitting methods for semilinear abstract Cauchy problems
Integral Equations and Operator Theory, 95 :Paper No. 15
2023

5117.

Kraus, Konstantin; Klamroth, Kathrin; Stiglmayr, Michael
On the online path extension problem -- Location and routing problems in board games
2023

5116.

Bartel, Andreas; Günther, Michael; Jacob, Birgit; Reis, Timo
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems
Accepted at Numerische Mathematik
2023

5115.

Bartel, Andreas; Günther, Michael; Jacob, Birgit; Reis, Timo
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems
Numerische Mathematik, 155 (1-2) :1–34
2023
Herausgeber: Springer New York

5114.

Bartel, Andreas; Günther, Michael; Jacob, Birgit; Reis, Timo
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems
Numerische Mathematik, 155 (1-2) :1–34
2023
Herausgeber: Springer New York

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