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
- 2024
5300.
Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Reducing Obizhaeva-Wang-type trade execution problems to LQ stochastic control problems
Finance and Stochastics, 28 (3) :813–863
2024
Publisher: Springer Verlag5299.
Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Reducing Obizhaeva-Wang-type trade execution problems to LQ stochastic control problems
Finance and Stochastics, 28 (3) :813–863
2024
Publisher: Springer Verlag5298.
Vinod, Vivin; Zaspel, Peter
QeMFi: A Multifidelity Dataset of Quantum Chemical Properties of Diverse Molecules
20245297.
Vinod, Vivin; Lyu, Dongyu; Ruth, Marcel; Kleinekathöfer, Ulrich; Schreiner, Peter R.; Zaspel, Peter
Predicting Molecular Energies of Small Organic Molecules with Multifidelity Methods.
20245296.
Bartel, Andreas; Clemens, Markus; Günther, Michael; Jacob, Birgit; Reis, Timo
Port-Hamiltonian systems’ modelling in electrical engineering
In van Beurden, Martijn and Budko, Neil V. and Ciuprina, Gabriela and Schilders, Wil and Bansal, Harshit and Barbulescu, Ruxandra, Editor, Scientific Computing in Electrical Engineering: SCEE 2022, Amsterdam, The Netherlands, July 2022fromMathematics in Industry, Page 133–143
In van Beurden, Martijn and Budko, Neil V. and Ciuprina, Gabriela and Schilders, Wil and Bansal, Harshit and Barbulescu, Ruxandra, Editor
Publisher: Springer Cham
20245295.
Antunes, Carlos Henggeler; Fonseca, Carlos M.; Paquete, Luís; Stiglmayr, Michael
Special issue on exact and approximation methods for mixed-integer multi-objective optimization
Mathematical Methods of Operations Research
August 2024
Publisher: Springer Science and Business Media LLC
ISSN: 1432-52175294.
Bartel, A.; Diab, M.; Frommer, A.; G\"unther ; Marheineke, N.
Splitting Techniques for DAEs with port-Hamiltonian Applications
20245293.
Hastir, Anthony; Jacob, Birgit; Zwart, Hans
Spectral analysis of a class of linear hyperbolic partial differential equations
IEEE Control Systems Letters, 8 :766-771
20245292.
Kapllani, Lorenc; Teng, Long; Rottmann, Matthias
Uncertainty quantification for deep learning-based schemes for solving high-dimensional backward stochastic differential equations
Preprint IMACM
2024
Publisher: Bergische Universität Wuppertal5291.
Levron, Yoash; Valadez, Alan; Weiss, George
Testing the Local Stability of a Multi-Machine Power System with Constant Power Loads
September 20245290.
Ehrhardt, Matthias; Kruse, Thomas; Tordeux, Antoine
The collective dynamics of a stochastic port-Hamiltonian self-driven agent model in one dimension
ESAIM: Mathematical Modelling and Numerical Analysis, 58 (2) :515–544
2024
Publisher: EDP Sciences5289.
Ghasemzadeh, Mohammadamin; Amirfazli, Alidad
Study of Insect Impact on an Aerodynamic Body Using a Rotary Wing Simulator
Fluids, 9 (1)
2024
ISSN: 2311-55215288.
Arslan, Bahar; Relton, Samuel D.; Schweitzer, Marcel
Structured level-2 condition numbers of matrix functions
Electron. J. Linear Algebra, 40 :28-47
20245287.
Rohde, Martin; Burgmann, Sebastian; Janoske, Uwe
The impact of a two-dimensional vibration excitation on the critical incident flow velocity of a sessile droplet
International Journal of Multiphase Flow, 171 :104663
2024
Publisher: Pergamon5286.
Günther, Michael; Jacob, Birgit; Totzeck, Claudia
Structure-Preserving Identification of Port-Hamiltonian Systems—A Sensitivity-Based Approach
In van Beurden, Martijn and Budko, Neil V. and Ciuprina, Gabriela and Schilders, Wil and Bansal, Harshit and Barbulescu, Ruxandra, Editor, Scientific Computing in Electrical Engineering SCEE 2022, Amsterdam, The Netherlands, July 2022fromMathematics in Industry, Page 167–174
In van Beurden, Martijn and Budko, Neil V. and Ciuprina, Gabriela and Schilders, Wil and Bansal, Harshit and Barbulescu, Ruxandra, Editor
Publisher: Springer Cham
20245285.
Reiter, Kendra; Schmidt, Marie; Stiglmayr, Michael
The Line-Based Dial-a-Ride Problem
In Bouman, Paul C. and Kontogiannis, Spyros C., Editor, 24th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2024)Volume123fromOpen Access Series in Informatics (OASIcs), Page 14:1—14:20
24th Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2024). Open Access Series in Informatics (OASIcs)
In Bouman, Paul C. and Kontogiannis, Spyros C., Editor
Publisher: Schloss Dagstuhl — Leibniz-Zentrum für Informatik, Dagstuhl, Germany
20245284.
Günther, Michael; Jacob, Birgit; Totzeck, Claudia
Structure-Preserving Identification of Port-Hamiltonian Systems—A Sensitivity-Based Approach
In van Beurden, Martijn and Budko, Neil V. and Ciuprina, Gabriela and Schilders, Wil and Bansal, Harshit and Barbulescu, Ruxandra, Editor, Scientific Computing in Electrical Engineering SCEE 2022, Amsterdam, The Netherlands, July 2022fromMathematics in Industry, Page 167–174
In van Beurden, Martijn and Budko, Neil V. and Ciuprina, Gabriela and Schilders, Wil and Bansal, Harshit and Barbulescu, Ruxandra, Editor
Publisher: Springer Cham
20245283.
Günther, M.; Jacob, Birgit; Totzeck, Claudia
Structure-preserving identification of port-Hamiltonian systems - a sensitivity-based approach
Volume 43
Publisher: Springer, Cham.
van Beurden, M., Budko, N.V., Ciuprina, G., Schilders, W., Bansal, H., Barbulescu, R. Edition
20245282.
Clemens, Markus; Henkel, Marvin-Lucas; Kasolis, Fotios; Günther, Michael
Structural Aspects of Electromagneto-Quasistatic Field Formulations of Darwin-Type Derived in the Port-Hamiltonian System Framework
TechRxiv
2024
Publisher: IEEE5281.
Bartel, Andreas; Diab, Malak; Frommer, Andreas; Günther, Michael; Marheineke, Nicole
Splitting Techniques for DAEs with port-Hamiltonian Applications
Preprint
20245280.
Clemens, Markus; Henkel, Marvin-Lucas; Kasolis, Fotios; Günther, Michael
Structural Aspects of Electromagneto-Quasistatic Field Formulations of Darwin-Type Derived in the Port-Hamiltonian System Framework
TechRxiv
2024
Publisher: IEEE5279.
Ackermann, Julia; Ehrhardt, Matthias; Kruse, Thomas; Tordeux, Antoine
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
Preprint
20245278.
Ackermann, Julia; Ehrhardt, Matthias; Kruse, Thomas; Tordeux, Antoine
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
Preprint
20245277.
Ackermann, Julia; Ehrhardt, Matthias; Kruse, Thomas; Tordeux, Antoine
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
Preprint
20245276.
Ackermann, Julia; Ehrhardt, Matthias; Kruse, Thomas; Tordeux, Antoine
Stabilisation of stochastic single-file dynamics using port-Hamiltonian systems
arXiv preprint arXiv:2401.17954
2024