Multirate Partial Differential Algebraic Equations
In radio frequency (RF) applications, electric circuits produce signals exhibiting fast oscillations, whereas the amplitude and/or frequency change slowly in time. Thus, solving a system of differential algebraic equations (DAEs), which describes the circuit's transient behaviour, becomes inefficient, since the fast rate restricts the step sizes in time. A multivariate model is able to decouple the widely separated time scales of RF signals and provides an alternative approach. Consequently, a system of DAEs changes into a system of multirate partial differential algebraic equations (MPDAEs). The determination of multivariate solutions allows for the exact reconstruction of corresponding time-dependent signals. Hence, an efficient numerical simulation is obtained by exploiting the periodicities in fast time scales. On the one hand, the simulation of enveloppe-modulated signals requires the solution of initial-boundary value problems of the MPDAEs. On the other hand, the simulation of quasiperiodic signals implies multiperiodic boundary conditions only for the MPDAEs. In case of quasiperiodic signals, a method of characteristics solves the multirate model efficiently, since the system of partial differential algebraic equations exhibits a hyperbolic structure.
Publications
- 2023
4737.
Alameddine, Jean-Marco; Albrecht, Johannes; Dembinski, Hans; Gutjahr, Pascal; Kampert, Karl-Heinz; Rhode, Wolfgang; Sackel, Maximilian; Sandrock, Alexander; Soedingrekso, Jan
Improvements in charged lepton and photon propagation for the software PROPOSAL
November 20234736.
[german] Grandrath, Rebecca
Videoschnitt für Einsteiger:innen
Unterricht Biologie - Das Schülerarbeitsheft, 51 :32-36
November 20234735.
[german] Kiesling, Elisabeth; Kremer, Richard; Pereira Vaz, Nuno; Venzlaff, Julian; Bohrmann-Linde, Claudia
Wege aus der Klimakrise – ein BNE-Schülerlaborangebot mit mehrdimensionalem Zugang
MNU Journal, 76 (06/2023) :464 - 471
November 2023
ISSN: 0025-58664734.
He, Siyang; Schog, Simon; Chen, Ying; Ji, Yuxin; Panitz, Sinan; Richtering, Walter; Göstl, Robert
Photoinduced Mechanical Cloaking of Diarylethene-Crosslinked Microgels
Advanced Materials, 35 (41) :2305845
Oktober 2023
ISSN: 1521-40954733.
Springer, Bastian L.; Holzschneider, K.; Mohr, Fabian; Kirsch, S. F.
Phenanthro[9,10‑d]imidazoles: An Unexpected Synthetic Route
Synthesis, 55 (24) :4224-4230
Oktober 2023
Herausgeber: Thieme
ISSN: 0039-78814732.
Abdul Halim, A.; others
Demonstrating Agreement between Radio and Fluorescence Measurements of the Depth of Maximum of Extensive Air Showers at the Pierre Auger Observatory
Oktober 20234731.
Abdul Halim, A.; others
Radio Measurements of the Depth of Air-Shower Maximum at the Pierre Auger Observatory
Oktober 20234730.
Göstl, Robert
Trendbericht: Makromolekulare Chemie 2023
Nachrichten aus der Chemie, 71 (10) :48--54
September 2023
ISSN: 1868-00544729.
Meinert, Janning; Morej\'on, Leonel; Sandrock, Alexander; Eichmann, Björn; Kreidelmeyer, Jonas; Kampert, Karl-Heinz
Modified temperature redshift relation and UHECR propagation
September 20234728.
[english] Venzlaff, Julian; Kosumi, Kaltrina; Zeller, Diana; Bohrmann-Linde, Claudia
Education for Sustainable Development and Experiments involving Titanium Dioxide
World Journal of Chemical Education, 11 (3) :80-86
August 20234727.
[english] Brunnert, Rainer; Tausch, Michael W.
Green Chemistry in STEM Education: Light for Basic Concepts
World Journal of Chemical Education, 11 (3) :65-73
August 20234726.
Desai, Prachi; Dasgupta, Anshuman; Sofias, Alexandros Marios; Peña, Quim; Göstl, Robert; Slabu, Ioana; Schwaneberg, Ulrich; Stiehl, Thomas; Wagner, Wolfgang; Jockenhövel, Stefan; Stingl, Julia; Kramann, Rafael; Trautwein, Christian; Brümmendorf, Tim H.; Kiessling, Fabian; Herrmann, Andreas; Lammers, Twan
Transformative Materials for Interfacial Drug Delivery
Advanced Healthcare Materials, 12 (20) :2301062
August 2023
ISSN: 2192-26594725.
Haussmann, N.; Stroka, S.; Clemens, M.
Anwendung neuronaler Netze in der Bestimmung der Exposition gegenüber niederfrequenten Magnetfeldern bei induktiven Ladesystemen
URSI e.V. Deutschland 2023 Kleinheubacher Tagung (KHB 2023)
Miltenberg, Germany
07 20234724.
Clevenhaus, A.; Totzeck, C.; Ehrhardt, M.
A numerical study of the impact of variance boundary conditions for the Heston model
IMACM preprint 23/11
Juli 20234723.
Stroka, S.; Haussmann, N.; Clemens, M.
Bewertung niederfrequenter Magnetfeldexpositionen unter Einsatz ordnungsreduzierender Modelle
URSI e.V. Deutschland 2023 Kleinheubacher Tagung (KHB 2023)
Miltenberg, Germany
06 20234722.
[german] Venzlaff, Julian; Bohrmann-Linde, Claudia
Photoreformierung – grüner Wasserstoff aus Alkohol, Zucker und Stärke
CHEMKON, 30 (6) :254-259
Juni 20234721.
Mittendorf, Fabia; Quambusch, Moritz; Kirsch, S. F.
Total synthesis of both enantiomers of the biosurfactant aureosurfactin via bidirectional synthesis with a chiral Horner–Wittig building block
Organic & Biomolecular Chemistry, 2023 (21) :4574-4577
05 2023
Herausgeber: RSC4720.
Haussmann, N.; Stroka, S.; Tiemann, M.; David, A.; Schmuelling, B.; Clemens, M.
Vorstellung des MILAS Projektes: Autonome induktiv geladene Elektro-Shuttles im öffentlichen Nahverkehr
5. Wissenschaftsforum Mobilität 2023, „Next Chapter in Mobility“
Duisburg, Germany
5 20234719.
Kähne, B.; Clemens, M.
A ROW-Type Method for GPU-Accelerated Large-Scale Finite Element Simulations of Nonlinear Eddy Current Problems
The 13th International Symposium on Electric and Magnetic Fields (EMF 2023)
Marseilles, France
5 20234718.
Haussmann, N.; Stroka, S.; Clemens, M.
Reduction of the Numerical Error in High-Resolution Low-Frequency Magnetic-Field Exposure Scenarios of Human Models Utilizing Smoothing Methods
The 13th International Symposium on Electric and Magnetic Fields (EMF 2023)
Marseilles, France, 29.-31.08.2023
04 20234717.
Zhou, Yu; Centeno, Silvia P.; Zhang, Kuan; Zheng, Lifei; Göstl, Robert; Herrmann, Andreas
Fracture Detection in Bio-Glues with Fluorescent-Protein-Based Optical Force Probes
Advanced Materials, 35 (16) :2210052
April 2023
ISSN: 1521-40954716.
Bensberg, Kathrin; Kunz, K.; Kirsch, Stefan F.
Thermolysis of Geminal Diazido Malonamides: Simple Access to Tetrazoles and Functionalization of In Situ Formed Isocyanates
European Journal of Organic Chemistry, 26 (18) :e2023002
04 2023
Herausgeber: Wiley
ISSN: 1434-193X4715.
Küng, Robin; Germann, Anne; Krüsmann, Marcel; Niggemann, Louisa P.; Meisner, Jan; Karg, Matthias; Göstl, Robert; Schmidt, Bernd M.
Mechanoresponsive Metal-Organic Cage-Crosslinked Polymer Hydrogels
Chemistry – A European Journal, 29 (18) :e202300079
März 2023
ISSN: 1521-37654714.
[german] Grandrath, Rebecca; Bohrmann-Linde, Claudia
Dem Apfel ans Leder
Nachrichten aus der Chemie, 71 :12-14
März 20234713.
Ponce, Cristobal; Wu, Yongxin; Le Gorrec, Yann; Ramirez, Hector
Port-Hamiltonian modeling of multidimensional flexible mechanical structures defined by linear elastic relations
November 2023