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

5555: 5753.
Song, Yongcun; Wang, Ziqi; Zuazua, Enrique
Approximate and Weighted Data Reconstruction Attack in Federated Learning
IEEE Transactions on Big Data
5555
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2026: 5752.
Arora, Sahiba; Mui, Jonathan
Smoothing of operator semigroups under relatively bounded perturbations
Journal of Mathematical Analysis and Applications
November 2026
DOI: https://doi.org/10.1016/j.jmaa.2026.130640; 5751.
Storch, Sonja; Wienen, David; Lennarz, Regina; Lauwigi, Tobias; Gries, Thomas; Meisner, Jan; Göstl, Robert
A Thermally Stable and Processable [4 + 2] Photodimer of π-Extended Anthracene as an Optical Force Probe for Damage Detection in Thermoplastics
Journal of the American Chemical Society, 148 (38) :40696–40703
September 2026
ISSN: 0002-7863
DOI: 10.1021/jacs.6c05379; 5750.
Keyvani, Majid Barzegar; Fu, Zongwen; Göstl, Robert; Shokri, Hamed; Putignano, Carmine; Percoco, Gianluca; Gökce, Bilal
Additive Manufacturing of Alumina-Reinforced Elastomers
Advanced Engineering Materials, 28 (18) :e71082
September 2026
ISSN: 1527-2648
DOI: 10.1002/adem.71082; 5749.
Chang, Xingmao; Schlittenhardt, Sören; Zolg, Julia; Herm, Maximilian; He, Siyang; Wakchaure, Vivek Chandrakant; Abdullin, Dinar; Göstl, Robert; Guldi, Dirk M.; Kuehne, Alexander J. C.; Richert, Sabine; Delius, Max
Bistabiles Schalten der π-Konjugation in einem Dithienylethen-verbrückten lumineszierenden Trityl-Diradicaloid
Angewandte Chemie, 138 :e5705848
September 2026
ISSN: 1521-3757
DOI: 10.1002/ange.5705848; 5748.
Chang, Xingmao; Schlittenhardt, Sören; Zolg, Julia; Herm, Maximilian; He, Siyang; Wakchaure, Vivek Chandrakant; Abdullin, Dinar; Göstl, Robert; Guldi, Dirk M.; Kuehne, Alexander J. C.; Richert, Sabine; Delius, Max
Bistable Switching of π-Conjugation in a Dithienylethene-Bridged Luminescent Trityl Diradicaloid
Angewandte Chemie International Edition, 65 :e5705848
September 2026
ISSN: 1521-3773
DOI: 10.1002/anie.5705848; 5747.
Schumann, Ronja; Bock, Andreas; Majer, Felix; Baumann, Michael; Olney-Fraser, Michael; Kazak, Lev; Jelezko, Fedor; Kuehne, Alexander J. C.; Göstl, Robert
Mechanochemical Activation of a Bridged-Exciplex Optical Force Probe
Advanced Science, 13 :e77144
August 2026
ISSN: 2198-3844
DOI: 10.1002/advs.77144; 5746.
Storch, Sonja; Göstl, Robert
Can polymer mechanochemistry stop a bullet?
Chem, 12 (8) :103191
August 2026
ISSN: 2451-9294
DOI: 10.1016/j.chempr.2026.103191; 5745.
Göstl, Robert; Wong, Wai-Yeung; Zhang, Xinxing
Mechanoluminescence: emerging trends and future perspectives
Journal of Materials Chemistry C, 14 (29) :12879–12881
July 2026
ISSN: 2050-7526
DOI: 10.1039/d6tc90072k; 5744.
[German] Meuter, Nico; Bohrmann-Linde, Claudia
Thermodynamische Betrachtungen des Entropieversuchs mit Citronensäure und Natriumcarbonat-Decahydrat
CHEMKON
July 2026
DOI: 10.1002/ckon.70025; 5743.
Gao, Xiang; Chakraborty, Gurudas; Urhahne, Felix Joel; Lantzius-Beninga, Marcus; Lennarz, Regina; Fan, Jilin; Stappert, Kara; Meisner, Jan; Göstl, Robert; Herrmann, Andreas
The mechanochemical activation of a pyrimidine dimer
Chemical Science, 17 (21) :10589-10599
June 2026
ISSN: 2041-6539
DOI: 10.1039/D6SC02165D; 5742.
Glück, Jochen; Mui, Jonathan
Non-positivity of the heat equation with non-local Robin boundary conditions
Journal of Differential Equations
June 2026
DOI: https://doi.org/10.1016/j.jde.2026.114315; 5741.
Pollmeier, Pascal; Ponath, Jonas; Bohrmann-Linde, Claudia; Rubner, Isabel; Sommer, Katrin; Fechner, Sabine
Digital und praxisnah: Was Chemielehrkräfte sich von (digitalisierungsbezogenen) Fortbildungen wünschen
CHEMKON
April 2026
DOI: 10.1002/ckon.70019; 5740.
Xu, Zhuo
Input-to-state type Stability for Simplified Fluid-Particle Interaction System
IMA Journal of Mathematical Control and Information, 43 (3)
March 2026
Download; 5739.
Kiesling, Elisabeth; Grandrath, Rebecca; Bohrmann-Linde, Claudia
Von der Querschnittsaufgabe BNE zur Unterrichtsplanung: Ein Umsetzungsbeispiel zum Thema Fette für den Chemieunterricht der Sekundarstufe II
MNU-Journal, 02/2026 :141-146
March 2026; 5738.
Kunze, Markus; Mui, Jonathan; Ploss, David
Elliptic operators with non-local Wentzell-Robin boundary conditions
Journal of Spectral Theory
February 2026
DOI: https://doi.org/10.4171/jst/595; 5737.
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, 38 (6) :e07655
January 2026
ISSN: 1521-4095
DOI: 10.1002/adma.202507655; 5736.
Tapera, Michael; Savvidis, Athanasios; Meysing, Cedric; Gómez-Suárez, Adrián; Kirsch, S. F.
Oxidative Cleavage of β-Substituted Primary Alcohols in Flow
Organic Letters
January 2026
Publisher: ACS
ISSN: 1523-7052
DOI: https://pubs.acs.org/doi/10.1021/acs.orglett.5c04782; 5735.
Tapera, Michael; Savvidis, Athanasios; Meysing, Cedric; Gómez-Suárez, Adrián; Kirsch, S. F.
Oxidative Cleavage of β-Substituted Primary Alcohols in Flow
Organic Letters
January 2026
Publisher: ACS
ISSN: 1523-7052
DOI: https://pubs.acs.org/doi/10.1021/acs.orglett.5c04782; 5734.
Maity, Sayan; Vinod, Vivin; Zaspel, Peter; Kleinekathöfer, Ulrich
∆-Machine Learning for LC-DFT-level Excitation Energies of Bacteriochlorophyll Molecules in a LH2 Complex
ChemRxiv preprint
2026
DOI: 10.26434/chemrxiv.15002714/v1; 5733.
Krieger, Emil; Schweitzer, Marcel
A general framework for Krylov ODE residuals with applications to randomized Krylov methods
accepted for publication in Electron. Trans. Numer. Anal.
2026
DOI: 10.48550/arXiv.2510.17538; 5732.
Prinz, Kathrin; Nemesch, Levin; Ruzika, Stefan
A High-Performance Parallel Algorithm for Multi-Objective Integer Optimization
2026
Download; 5731.
Ocqueteau, Vicente
Analysis of a Model for a Floating Platform Coupled with a Flexible Beam
2026
Download; 5730.
Abel, Ulrich; Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
Asymptotic expansions for generalized Bernstein-Durrmeyer and genuine Bernstein-Durrmeyer operators
Complex Anal. Oper. Theory, 20
2026
DOI: 10.1007/s11785-026-01929-1; 5729.
Abel, Ulrich; Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
Asymptotic properties for a general class of Szász-Mirakjan-Durrmeyer operators
Mathematical Methods in the Applied Sciences :734–743
2026
DOI: 10.1002/mma.70185