Coupled DAE Problems

A circuit (DAE model) coupled to a magnetostatic field device (PDE model)

Coupled Problems of differential-algebraic equations (DAEs) arise typically from either multiphysical modeling (e.g. in circuit simulation with heating) or from refined modeling, where crucial parts of the original problem are replaced by a better, but computational more expensive model (e.g. circuits refined by field models). Furthermore splitting methods may turn a monolithic DAE problem into coupled subproblems, e.g. because of different time scales (multirate). In any case the DAEs arise from network approaches or space-discretization of PDAEs (Partial Differential Algebraic Equations).

Often the coupled equations have quite different properties, i.e., symmetries, definiteness or time scales. Thus the coupled system must be analyzed (e.g. the index) and tailored methods have to be developed (e.g. dynamic iteration).

Details

Publications

2025: 5536.
Barmin, Roman A.; Moosavifar, MirJavad; Rama, Elena; Blöck, Julia; Rix, Anne; Petrovskii, Vladislav S.; Gumerov, Rustam A.; Köhler, Jens; Pohl, Michael; Bastard, Céline; Rütten, Stephan; Charlton, Laura; Khiêm, Vu Ngoc; Domenici, Fabio; Lisson, Thomas; Savina, Ekaterina; Zhang, Rui; Baier, Jasmin; Koletnik, Susanne; Koutsos, Vasileios; Itskov, Mikhail; Paradossi, Gaio; Schmitz, Georg; Vermonden, Tina; De Laporte, Laura; Göstl, Robert; Herrmann, Andreas; Potemkin, Igor I; Kiessling, Fabian; Lammers, Twan; Pallares, Roger M.
Microbubble Shell Stiffness Engineering Enhances Ultrasound Imaging, Drug Delivery, and Sonoporation
Advanced Materials, 37 :e07655
November 2025
ISSN: 1521-4095
DOI: 10.1002/adma.202507655; 5535.
Aydonat, Simay; Campagna, Davide; Göstl, Robert
Efficient, Functional Group-Tolerant, and Catalyst-Free Nitrile Formation From Aldehydes
Chemistry – A European Journal, 31 :e02629
November 2025
ISSN: 1521-3765
DOI: 10.1002/chem.202502629; 5534.
[german] Bohrmann-Linde, Claudia; Eilks, Ingo; Grandrath, Rebecca; Linkwitz, Michael; Hoffmann, Marco
Fachkapitel Chemie - KMK BMZ Orientierungsrahmen für BNE in der gymnasialen Oberstufe
Page 647-669
Publisher: ENGAGEMENT GLOBAL GmbH, Friedrich-Ebert-Allee 40 D-53113 Bonn
October 2025
647-669
ISBN: 978-3-14-130363-6; 5533.
[German] Tausch, Michael W.
Zyklische Chemie mit Lichtantrieb
Nachrichten aus der Chemie, 73 (10) :13-16
September 2025
DOI: 10.1002/nadc.20254151388; 5532.
Tausch, Michael W.
Chemie mit Licht - Innovative Didaktik für Studium und Lehre, 2. Aufl. BNE., Ergänzung Kap. 8: Nachhaltigkeit mit Licht für Leben und Technik
Publisher: Springer Nature Verlag, Heidelberg, Berlin
September 2025
ISBN: 978-3-662-71188-0; 5531.
Blank, Kerstin G.; Göstl, Robert
Moving mechanochemistry forward: programming force-induced responses into macromolecular systems
RSC Mechanochemistry, 2 (5) :627-630
September 2025
ISSN: 2976-8683
DOI: 10.1039/D5MR90024G; 5530.
[English] Tausch, Michael W.
Solstice in STEM Education – Cyclic Chemistry Driven by Light
World Journal of Chemical Education, 13 (3) :54-59
August 2025
DOI: 10.12691/wjce-13-3-3; 5529.
[german] Grandrath, Rebecca; Zeller, Diana; Cornelius, Soraya; Bohrmann-Linde, Claudia
Fortbildungsreihe der Chemiedidaktik Wuppertal im ComeMINT-Projekt
In van Vorst, Helena: Entdecken, lehren und forschen im Schülerlabor. Gesellschaft für Didaktik der Chemie und Physik., Editor, Entdecken, lehren und forschen im Schülerlabor. Gesellschaft für Didaktik der Chemie und Physik. Jahrestagung in Bochum 2024.
Page 900-903
07 2025
900-903; 5528.
[german] Zeller, Diana; Frohne, Thorben; Bohrmann-Linde, Claudia; Mack, Nils; Schrader, Claudia
VR-Lernsetting zu Verbrennungen: Erkundung der Teilchenebene in 3D
In van Vorst, Helena, Editor, Entdecken, lehren und forschen im Schülerlabor. Gesellschaft für Didaktik der Chemie und Physik. Band 45
Page 573-576
07 2025
573-576; 5527.
Fan, Jilin; Lennarz, Regina; Zhang, Kuan; Mourran, Ahmed; Meisner, Jan; Xuan, Mingjun; Göstl, Robert; Herrmann, Andreas
Polymer microbubbles as universal platform to accelerate polymer mechanochemistry
Nature Communications, 16 (1) :5380
June 2025
ISSN: 2041-1723
DOI: 10.1038/s41467-025-60667-8; 5526.
Zschau, Timo; Bensberg, Kathrin; Meysing, Cedric; Lamuadni, Nofisa; Gómez-Suárez, Adrián; Kirsch, S. F.
Upcycling Food Waste: Ursolic Acid as Sustainable Feedstock
European Journal of Organic Chemistry
06 2025
ISSN: 1099-0690
DOI: 10.1002/ejoc.202500422; 5525.
Govaerts, Sebastian; Mayer-Figge, Jan Lukas; Chotia, Mohit; Kirsch, S. F.; Gómez-Suárez, Adrián
Synthesis and Nucleophilic Ring-Opening of 1,1-Dicyanocyclopropanes: Accessing β-Aminocarbonyl Derivatives from Olefins
Organic Letters, 27 :5549-5554
05 2025
Publisher: ACS
ISSN: 1523-7052
DOI: 10.1021/acs.orglett.5c00395; 5524.
Xu, Zhuo
Input-to-state type Stability for Simplified Fluid-Particle Interaction System
May 2025
Download; 5523.
Asya, Berçin V.; Wang, Sitao; Euchler, Eric; Khiêm, Vu Ngoc; Göstl, Robert
Optical Force Probes for Spatially Resolved Imaging of Polymer Damage and Failure
Aggregate, 6 (4) :e70014
April 2025
ISSN: 2692-4560
DOI: 10.1002/agt2.70014; 5522.
Hahmann, Johannes; Schüpp, Boris N.; Ishaqat, Aman; Selvakumar, Arjuna; Göstl, Robert; Gräter, Frauke; Herrmann, Andreas
Sequence-specific, mechanophore-free mechanochemistry of DNA
Chem, 11 (4) :102376
April 2025
ISSN: 2451-9294, 2451-9308
DOI: 10.1016/j.chempr.2024.11.014; 5521.
Ocqueteau, Vicente; Tucsnak, Marius
On an Initial Value Problem Describing the Small Oscillations of a Floating Cylinder
April 2025
Download; 5520.
Bensberg, Kathrin; Gómez-Suárez, Adrián; Kirsch, S. F.
Solid-Supported Iodine(V) Reagents in Organic Synthesis
Chemistry - A European Journal, 31 :e202500670
03 2025
Publisher: Wiley
ISSN: 1521-3765
DOI: 10.1002/chem.202500670; 5519.
[german] Grandrath, Rebecca; Wiebel, Michelle; Bensberg, Kathrin; Schebb, Nils Helge; Kirsch, Stefan F.; Bohrmann-Linde, Claudia
Aus der Schale in die Schule
Nachrichten aus der Chemie, 73 (3) :10-12
March 2025
DOI: 10.1002/nadc.20254148144; 5518.
Storch, Sonja; Campagna, Davide; Aydonat, Simay; Göstl, Robert
Mechanochemical generation of nitrogen-centred radicals for the formation of tertiary amines in polymers
RSC Mechanochemistry, 2 (2) :240-245
March 2025
DOI: 10.1039/D4MR00099D; 5517.
Grandrath, Rebecca; Wiebel, Michelle; Bensberg, Kathrin; Schebb, Nils Helge; Kirsch, S. F.; Bohrmann-Linde, Claudia
Aus der Schale in die Schule
Nachrichten aus der Chemie, 73 :10-12
02 2025
Publisher: Wiley
ISSN: 1868-0054
DOI: 10.1002/nadc.20254148144; 5516.
Krieger, Emil; Schweitzer, Marcel
A general framework for Krylov ODE residuals with applications to randomized Krylov methods
2025
DOI: 10.48550/arXiv.2510.17538; 5515.
Clevenhaus, A.; Totzeck, C.; Ehrhardt, M.
A Space Mapping approach for the calibration of financial models with the application to the Heston model
2025
DOI: 10.48550/arXiv.2501.14521; 5514.
Gaul, Daniela; Klamroth, Kathrin; Pfeiffer, Christian; Stiglmayr, Michael; Schulz, Arne
A Tight Formulation for the Dial-a-Ride Problem
European Journal of Operational Research, 321 (2) :363-382
2025
ISSN: 0377-2217
DOI: 10.1016/j.ejor.2024.09.028; 5513.
Bauß, Julius; Stiglmayr, Michael
Adapting Branching and Queuing for Multi-objective Branch and Bound
In Voigt, G., Fliedner, M., Haase, K., Brüggemann, W., Hoberg, K., Meissner, J., Editor, Operations Research Proceedings 2023. OR 2023. Lecture Notes in Operations Research
In Voigt, G., Fliedner, M., Haase, K., Brüggemann, W., Hoberg, K., Meissner, J., Editor
Publisher: Springer, Cham
2025
DOI: 10.1007/978-3-031-58405-3_68; 5512.
Könen, David; Stiglmayr, Michael
An output-polynomial time algorithm to determine all supported efficient solutions for multi-objective integer network flow problems
Discrete Applied Mathematics, 376 :1-14
2025
Publisher: Elsevier BV
ISSN: 0166-218X
DOI: 10.1016/j.dam.2025.06.001