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

2026: 5593.
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; 5592.
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; 5591.
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; 5590.
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; 5589.
Prinz, Kathrin; Nemesch, Levin; Ruzika, Stefan
A High-Performance Parallel Algorithm for Multi-Objective Integer Optimization
2026
Download; 5588.
Ocqueteau, Vicente
Analysis of a Model for a Floating Platform Coupled with a Flexible Beam
2026
Download; 5587.
Elghazi, Bouchra; Jacob, Birgit; Zwart, Hans
Boundary control systems on a one-dimension spatial domain
2026
Download; 5586.
Sinani, Mario A.; Palacios, Rafael; Fasel, Urban; Wynn, Andrew
Data-Driven Parametric Aeroelastic Modeling of the Pazy Wing
2026
DOI: 10.2514/6.2026-0187; 5585.
Finster, Rebecca; Grogorick, Linda; Robra-Bissantz, Susanne
Einheitliche Vorgaben, heterogene Praxis: Potenziale der NIS2-Umsetzung in einer öffentlichen Verwaltung
HMD - Praxis der Wirtschaftsinformatik
2026
DOI: 10.1365/s40702-026-01248-1; 5584.
Zeller, Diana; Bohrmann-Linde, Claudia
KI-Chatbots als Unterrichtswerkzeug: Eine Lehrkräftefortbildung zum Einsatz von KI-Chatbots im Chemieunterricht
CHEMKON
2026
angenommen
DOI: doi.org/10.1002/ckon.70007; 5583.
Könen, David; Stiglmayr, Michael
Output-sensitive Complexity of Multi-Objective Integer Network Flow Problems
Journal of Combinatorial Optimization, 51 (14)
2026
DOI: 10.1007/s10878-025-01376-2; 5582.
Yuden, Kezang; Nemesch, Levin; Ruzika, Stefan
Parametric Biobjective Linear Programming
2026; 5581.
Lopes, Gonçalo; Klamroth, Kathrin; Paquete, Luís
Solving hypervolume scalarizations for MOCO problems
2026
: 5580.
Acu, A.M.; Heilmann, Margareta; Raşa, I.
Convergence of linking Durrmeyer type modifications of generalized Baskatov operators
Bulleting of the Malaysian Math. Sciences Society; 5579.
Ehrhardt, Matthias
Ein einfaches Kompartment-Modell zur Beschreibung von Revolutionen am Beispiel des Arabischen Frühlings; 5578.
Günther, Michael
Einführung in die Finanzmathematik; 5577.
Al{\i}, G; Bartel, A
Electrical RLC networks and diodes; 5576.
Gjonaj, Erion; Bahls, Christian Rüdiger; Bandlow, Bastian; Bartel, Andreas; Baumanns, Sascha; Belzen, F; Benderskaya, Galina; Benner, Peter; Beurden, MC; Blaszczyk, Andreas; others
Feldmann, Uwe, 143 Feng, Lihong, 515 De Gersem, Herbert, 341 Gim, Sebasti{\'a}n, 45, 333
MATHEMATICS IN INDUSTRY 14 :587; 5575.
Ehrhardt, Matthias
für Angewandte Analysis und Stochastik; 5574.
Ehrhardt, Matthias; Günther, Michael; Striebel, Michael
Geometric Numerical Integration Structure-Preserving Algorithms for Lattice QCD Simulations; 5573.

High order tensor product interpolation in the Combination Technique
preprint, 14 :25; 5572.
Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Hybrid finite difference/pseudospectral methods for stochastic volatility models
19th European Conference on Mathematics for Industry, Page 388; 5571.
Ehrhardt, Matthias; Csomós, Petra; Faragó, István; others
Invited Papers; 5570.
Günther, Michael
Lab Exercises for Numerical Analysis and Simulation I: ODEs; 5569.
Ehrhardt, Matthias; Günther, Michael
Mathematical Modelling of Dengue Fever Epidemics