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:
- Speed up of circuit simulation by identification of active and latent parts in electric circuits (Multirate)
- Model Order Reduction for parasitic circuits
- Coupling of circuit simulators with distributed device models (Dynamic Iteration, Semiconductors, Electromagnetic Field Devices)
Former and ongoing projects
Cooperations
- Academic
- Markus Clemens, Bergische Universität Wuppertal
- Herbert de Gersem, K.U. Leuven, Belgium
- Caren Tischendorf, Universität zu Köln, Germany
- Industrial
Publications
- 2019
3992.
Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail
Wasserstein convergence rates for random bit approximations of continuous Markov processes
Journal of Mathematical Analysis and Applications, 493 (2) :124543
2019
Herausgeber: Academic Press3991.
Jacob, Birgit; Wegner, Sven-Ake
Well-posedness of a class of hyperbolic partial differential equations on the semi-axis
J. Evol. Equ., 19 (4) :1111--1147
20193990.
Jacob, Birgit; Kaiser, Julia T.
Well-posedness of systems of 1-{D} hyperbolic partial differential equations
J. Evol. Equ., 19 (1) :91--109
20193989.
Jacob, Birgit; Kaiser, Julia T.
Well-posedness of systems of 1-D hyperbolic partial differential equations
J. Evol. Equ., 19 (1) :91--109
20193988.
Ehrhardt, Matthias
Wide-angle mode parabolic equation with transparent boundary conditions and its applications in shallow water acoustics
2019 Days on Diffraction (DD), Seite 221–225
IEEE
Herausgeber: IEEE
20193987.
Ehrhardt, Matthias
Wide-angle mode parabolic equation with transparent boundary conditions and its applications in shallow water acoustics
2019 Days on Diffraction (DD), Seite 221--225
IEEE
20193986.
Ehrhardt, Matthias
Wide-angle mode parabolic equation with transparent boundary conditions and its applications in shallow water acoustics
2019 Days on Diffraction (DD), Seite 221–225
IEEE
Herausgeber: IEEE
20193985.
Cuny, Christophe; Eisner, Tanja; Farkas, Bálint
Wiener's lemma along primes and other subsequences
Advances in Mathematics, 347 :340 - 383
20193984.
Jacob, Birgit; Morris, Kirsten A.; Zwart, Hans
Zero dynamics for networks of waves
Automatica J. IFAC, 103 :310--321
2019- 2018
3983.
Sharma, M. K.; Göstl, Robert; Frijns, A. J. H.; Wieringa, F. P.; Kooman, J. P.; Sijbesma, R. P.; Smeulders, D. M. J.
A Fluorescent Micro-Optofluidic Sensor for In-Line Ion Selective Electrolyte Monitoring
IEEE Sensors Journal, 18 (10) :3946--3951
Mai 2018
ISSN: 1530-437X3982.
[1,2]-Migration Reactions Catalyzed by Gold Complexes and their Applications in Total Synthesis
Israel Journal of Chemistry, 58 (5) :596–607
2018
ISSN: 1869-58683981.
Jacob, Birgit; Partington, Jonathan R.; Pott, Sandra; Wynn, Andrew
{\(\beta\)}-admissibility of observation operators for hypercontractive semigroups
J. Evol. Equ., 18 (1) :153--170
20183980.
Jacob, Birgit; Partington, Jonathan R.; Pott, Sandra; Wynn, Andrew
β-admissibility of observation operators for hypercontractive semigroups
J. Evol. Equ., 18 (1) :153--170
20183979.
Daners, Daniel; Glück, Jochen
A criterion for the uniform eventual positivity of operator semigroups
Integral Equations Operator Theory, 90 (4) :Paper No. 46, 19
20183978.
Farkas, Bálint; Nagy, Béla; Révész, Szilárd Gy.
A minimax problem for sums of translates on the torus
Transactions of the London Mathematical Society, 5 (1) :1-46
20183977.
Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
A new convergent explicit tree-grid method for HJB equations in one space dimension
Numerical Mathematics: Theory, Methods and Applications, 11 (1) :1–29
2018
Herausgeber: Global Science Press3976.
Ehrhardt, Matthias; Günther, Michael
A new convergent explicit Tree-Grid method for HJB equations in one space dimension
Preprint, 17 (06)
20183975.
Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
A new convergent explicit tree-grid method for HJB equations in one space dimension
Numerical Mathematics: Theory, Methods and Applications, 11 (1) :1–29
2018
Herausgeber: Global Science Press3974.
Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
A new convergent explicit tree-grid method for HJB equations in one space dimension
Numerical Mathematics: Theory, Methods and Applications, 11 (1) :1–29
2018
Herausgeber: Global Science Press3973.
Heilmann, Margareta; Raşa, Ioan
A nice representation for a link between Baskakov-and Szász–Mirakjan–Durrmeyer operators and their kantorovich variants
Results in Mathematics, 74 (1) :9
20183972.
Glück, Jochen
A note on lattice ordered $C^*$-algebras and Perron-Frobenius theory
Math. Nachr., 291 (11-12) :1727--1732
20183971.
Bartel, Andreas; Ehrhardt, Matthias
A numerical tool for the study of the hydrodynamic recovery of the lattice Boltzmann Method
Computers & Fluids, 172 :241–250
2018
Herausgeber: Pergamon3970.
Bartel, Andreas; Ehrhardt, Matthias
A numerical tool for the study of the hydrodynamic recovery of the Lattice Boltzmann Method
Computers & Fluids, 172 :241--250
2018
Herausgeber: Pergamon3969.
Bartel, Andreas; Ehrhardt, Matthias
A numerical tool for the study of the hydrodynamic recovery of the lattice Boltzmann Method
Computers & Fluids, 172 :241–250
2018
Herausgeber: Pergamon3968.
Harbrecht, Helmut; Zaspel, Peter
A scalable H-matrix approach for the solution of boundary integral equations on multi-GPU clusters
2018