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
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5594.
Song, Yongcun; Wang, Ziqi; Zuazua, Enrique
Approximate and Weighted Data Reconstruction Attack in Federated Learning
IEEE Transactions on Big Data
5555- 2026
5593.
Arora, Sahiba; Mui, Jonathan
Smoothing of operator semigroups under relatively bounded perturbations
Journal of Mathematical Analysis and Applications
November 20265592.
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
Publisher: The Royal Society of Chemistry
ISSN: 2041-65395591.
Glück, Jochen; Mui, Jonathan
Non-positivity of the heat equation with non-local Robin boundary conditions
Journal of Differential Equations
June 20265590.
Xu, Zhuo
Input-to-state type Stability for Simplified Fluid-Particle Interaction System
IMA Journal of Mathematical Control and Information, 43 (3)
March 20265589.
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 20265588.
Kunze, Markus; Mui, Jonathan; Ploss, David
Elliptic operators with non-local Wentzell-Robin boundary conditions
Journal of Spectral Theory
February 20265587.
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: 1521-40955586.
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: 1523-70525585.
Prinz, Kathrin; Nemesch, Levin; Ruzika, Stefan
A High-Performance Parallel Algorithm for Multi-Objective Integer Optimization
20265584.
Ocqueteau, Vicente
Analysis of a Model for a Floating Platform Coupled with a Flexible Beam
20265583.
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
20265582.
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
20265581.
Elghazi, Bouchra; Jacob, Birgit; Zwart, Hans
Boundary control systems on a one-dimension spatial domain
20265580.
Sinani, Mario A.; Palacios, Rafael; Fasel, Urban; Wynn, Andrew
Data-Driven Parametric Aeroelastic Modeling of the Pazy Wing
Page 0187
2026
01875579.
Finster, Rebecca; Grogorick, Linda; Robra-Bissantz, Susanne
Einheitliche Vorgaben, heterogene Praxis: Potenziale der NIS2-Umsetzung in einer öffentlichen Verwaltung
HMD - Praxis der Wirtschaftsinformatik
20265578.
Abel, Ulrich; Acu, Ana-Maria; Heilmann, Margareta; Raşa, Ioan
Genuine Bernstein-Durrmeyer operators preserving 1 and x^j (II)
Approximation Theory and Special Functions, Page 97--112
ATSF 2024
Ankara, Turkey
Publisher: Springer Nature Switzerland
2026ISBN: 978-3-031-93279-3
5577.
Vinod, Vivin; Zaspel, Peter
Improvise, Adapt, Overcome: An On-The-Fly Multifidelity Algorithm for Efficient Machine Learning
20265576.
Abel, Ulrich; Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
Kernels for composition of positive linear operators
Journal of Mathematical Analysis and Applications, 555 (2) :130052
2026
ISSN: 0022-247X5575.
Zeller, Diana; Bohrmann-Linde, Claudia
KI-Chatbots als Unterrichtswerkzeug: Eine Lehrkräftefortbildung zum Einsatz von KI-Chatbots im Chemieunterricht
CHEMKON, 33/3 :71-76
2026
angenommen5574.
Vinod, Vivin; Zaspel, Peter
LFaB: Low Fidelity as Bias for Active Learning in the Chemical Configuration Space
J. Chem. Theory Comput.
20265573.
Könen, David; Stiglmayr, Michael
Output-sensitive Complexity of Multi-Objective Integer Network Flow Problems
Journal of Combinatorial Optimization, 51 (14)
20265572.
Yuden, Kezang; Nemesch, Levin; Ruzika, Stefan
Parametric Biobjective Linear Programming
20265571.
Lopes, Gonçalo; Klamroth, Kathrin; Paquete, Luís
Solving hypervolume scalarizations for MOCO problems
20265570.
Acu, A.M.; Heilmann, Margareta; Raşa, I.
Convergence of linking Durrmeyer type modifications of generalized Baskatov operators
Bulleting of the Malaysian Math. Sciences Society
