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
4702.
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
20234701.
Abdul Halim, Adila; others
Radio Interferometry applied to air showers recorded by the Auger Engineering Radio Array
PoS, ICRC2023 :380
20234700.
Güttel, Stefan; Schweitzer, Marcel
Randomized sketching for Krylov approximations of large-scale matrix functions
SIAM J. Matrix Anal. Appl., 44 (3) :1073-1095
20234699.
Makarov, Denis; Petrov, Pavel; Uleysky, Mikhail
Random matrix theory for sound propagation in a shallow-water acoustic waveguide with sea bottom roughness
submitted to J. Marine Sci. Eng.
Juni 2023- 2022
4698.
[english] Grandrath, Rebecca; Bohrmann-Linde, Claudia
Biological Fuel Cells with Drugstore Products
World Journal of Chemical Education, 10 (4) :149-154
Dezember 20224697.
David, A.; Tiemann, M.; Schmuelling, B.; Haussmann, N.; Stroka, S.; Clemens, M.
Electromagnetic Compatibility Evaluation of Wireless Charging Systems for Public Spaces
2022 Second International Conference on Sustainable Mobility Applications, Renewables and Technology (SMART)
Italy (Online conference)
Herausgeber: Digest submitted.
Dezember 20224696.
Yildiz, Deniz; Göstl, Robert; Herrmann, Andreas
Sonopharmacology: controlling pharmacotherapy and diagnosis by ultrasound-induced polymer mechanochemistry
Chemical Science, 13 (46) :13708--13719
November 2022
ISSN: 2041-65394695.
Haussmann, N.; Mease, R.; Zang, M.; Stroka, S.; Hensel, H.; Clemens, M.
Efficient High-Resolution Electric Field Simulations Inside the Human Body in the Vicinity of Wireless Power Transfer Systems With Varying Models
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 42 :903-913
November 2022
Herausgeber: Emerald Publishing Limited
ISSN: 0332-16494694.
Baumann, Christoph; Willis-Fox, Niamh; Campagna, Davide; Rognin, Etienne; Marten, Paul; Daly, Ronan; Göstl, Robert
Regiochemical effects for the mechanochemical activation of 9-π-extended anthracene-maleimide Diels–Alder adducts
Journal of Polymer Science, 60 (22) :3128--3133
November 2022
ISSN: 2642-41694693.
[german] Zeller, Diana
Heimische Ökosysteme erkunden. Mit Maphub kooperative, ökologische Kartierung umsetzen
In Meier, Monique; Thyssen, Christoph, Editor aus Digital Unterrichten Biologie
November 20224692.
Kharandiuk, Tetiana; Tan, Kok Hui; Xu, Wenjing; Weitenhagen, Fabian; Braun, Susanne; Göstl, Robert; Pich, Andrij
Mechanoresponsive diselenide-crosslinked microgels with programmed ultrasound-triggered degradation and radical scavenging ability for protein protection
Chemical Science, 13 (38) :11304--11311
Oktober 2022
ISSN: 2041-65394691.
Rasch, Dustin; Göstl, Robert
Pyrene-Based Macrocrosslinkers with Supramolecular Mechanochromism for Elastic Deformation Sensing in Hydrogel Networks
Organic Materials, 4 (4) :170--177
Oktober 2022
ISSN: 2625-18254690.
Campagna, Davide; Göstl, Robert
Mechanoresponsive Carbamoyloximes for the Activation of Secondary Amines in Polymers
Angewandte Chemie International Edition, 61 (39) :e202207557
September 2022
ISSN: 1521-37734689.
Campagna, Davide; Göstl, Robert
Mechanoresponsive Carbamoyloxime für die Aktivierung Sekundärer Amine in Polymeren
Angewandte Chemie, 134 (39) :e202207557
September 2022
ISSN: 1521-37574688.
[german] Bohrmann-Linde, Claudia; Gökkus, Yasemin; Humbert, Ludger; Kiesling, Elisabeth; Kremer, Richard; Losch, Daniel; Schmitz, Denise; Zeller, Diana
Analyse, Struktur und Darstellung chemiedidaktischer Elemente aus informatischer Perspektive – Entwicklung eines interdisziplinären Lehrkonzeptes
MNU-Journal, 05.2022 :423-429
September 20224687.
[german] Kremer, Richard; Bohrmann-Linde, Claudia; Tausch, Michael W.
Künstliche Photosynthese im Fokus - Photokatalytische Wasserstofferzeugung in der Eintopfzelle
CHEMKON, 29 (6) :646-653
September 20224686.
Aad, Georges; others
Measurements of observables sensitive to colour reconnection in $t\bar{t}$ events with the ATLAS detector at $\sqrt{s}=13$ TeV
Eur. Phys. J. C, 83 (6) :518
September 20224685.
Brunnert, Rainer
Photoprozesse im bilingualen Chemie- und Biologieunterricht: eine explorative Studie
August 20224684.
Klok, Harm-Anton; Herrmann, Andreas; Göstl, Robert
Force ahead: Emerging Applications and Opportunities of Polymer Mechanochemistry
ACS Polymers Au, 2 (4) :208--212
August 20224683.
Bohrmann-Linde, Claudia; Siehr, Ilona
CHEMIE Einführungsphase Nordrhein-Westfalen
Herausgeber: C.C.Buchner Verlag, Bamberg
August 2022ISBN: 9783661060019
4682.
Niggemann, L. P.; Göstl, Robert
Mechanoresponsive Functional Polymer Materials
aus Smart Materials Series
Seite 604--636
Herausgeber: Royal Society of Chemistry
2 Edition
Juli 2022
604--6364681.
Xuan, Mingjun; Schumacher, Christian; Bolm, Carsten; Göstl, Robert; Herrmann, Andreas
The Mechanochemical Synthesis and Activation of Carbon-Rich π-Conjugated Materials
Advanced Science, 9 (19) :2105497
Juli 2022
ISSN: 2198-38444680.
[german] Grandrath, Rebecca; Bohrmann-Linde, Claudia
Strom aus Bäckerhefe
Nachrichten aus der Chemie, 70 (7-8) :18-21
Juli 20224679.
[german] Zeller, Diana; Stinken-Rösner, Lisa; Meier, Monique
Interaktive Videoformate für den naturwissenschaftlichen Unterricht. Vom Rezipieren zum Interagieren
Unterricht Biologie, 475 :44-47
07 20224678.
[german] Grandrath, Rebecca; Bohrmann-Linde, Claudia
Entwicklung eines lowcost Experiments für den Chemieunterricht am Beispiel der enzymatischen Brennstoffzelle mit Lactase
CHEMKON, 29 (S1) :233-238
Juni 2022