Applied and Computational Mathematics (ACM)

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



2023

4687.

Lars, Thun
Investigation of time constraints for quality prediction in arc welding using deep learning
2023

4686.

Lund, Kathryn; Schweitzer, Marcel
The Frechet derivative of the tensor t-function
Calcolo, 60 :35
2023

4685.

Lund, Kathryn; Schweitzer, Marcel
The Frechet derivative of the tensor t-function
Calcolo, 60
2023

4684.

Meinert, Janning; Morej\'on, Leonel; Sandrock, Alexander; Eichmann, Björn; Kreidelmeyer, Jonas; Kampert, Karl-Heinz
The impact of a modified CMB photon density on UHECR propagation
PoS, ICRC2023 :322
2023

4683.

Alameddine, Jean-Marco; others
The particle-shower simulation code CORSIKA 8
PoS, ICRC2023 :310
2023

4682.

Guerreiro, Andreia P.; Klamroth, Kathrin; Fonseca, Carlos M.
Theoretical aspects of subset selection in multi-objective optimization
In Brockhoff, D. and Emmerich, M. and Naujoks, B. and Purshouse, R., Editor from Natural Computing Series
Page 213--239
Publisher: Springer
2023
213--239

4681.

[en] Lauer, Patrick; Arnold, Lukas; Brännström, Fabian
Inverse modelling of pyrolization kinetics with ensemble learning methods
Fire Safety Journal
January 2023
ISSN: 03797112

4680.

Pereselkov, Sergey; Kuz’kin, Venedikt; Ehrhardt, Matthias; Tkachenko, Sergey; Rybyanets, Pavel; Ladykin, Nikolay
Three-dimensional modeling of sound field holograms of a moving source in the presence of internal waves causing horizontal refraction
Journal of Marine Science and Engineering, 11 (10) :1922
2023
Publisher: MDPI

4679.

Kapllani, Lorenc; Teng, Long; Rottmann, Matthias
Uncertainty quantification for deep learning-based schemes for solving high-dimensional backward stochastic differential equations
Submitted to SIAM-ASA J. Uncertain. Quantif.
2023

4678.

Schweitzer, Marcel
Integral representations for higher-order Frechet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number
Linear Algebra Appl., 656 :247-276
2023
Publisher: Elsevier

4677.

Schweitzer, Marcel
Integral representations for higher-order Frechet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number
Linear Algebra Appl., 656 :247-276
2023

4676.

Bülow, Friedrich; Hahn, Yannik; Meyes, Richard; Meisen, Tobias; others
Transparent and Interpretable State of Health Forecasting of Lithium-Ion Batteries with Deep Learning and Saliency Maps
International Journal of Energy Research, 2023
2023
Publisher: Hindawi

4675.

Akramov, ME; Yusupov, JR; Ehrhardt, M; Susanto, H; Matrasulov, DU
Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons
Physics Letters A :128611
2023
Publisher: North-Holland

4674.

Akramov, ME; Yusupov, JR; Ehrhardt, M; Susanto, H; Matrasulov, DU
Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons
Physics Letters A :128611
2023
Publisher: North-Holland

4673.

Akramov, ME; Yusupov, JR; Ehrhardt, Matthias; Susanto, H; Matrasulov, DU
Transparent boundary conditions for the nonlocal nonlinear Schrödinger equation: A model for reflectionless propagation of PT-symmetric solitons
Physics Letters, Section A, 459 :128611
2023
Publisher: North-Holland

4672.

Jacob, Birgit; Zwart, Hans
Infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain: An Introduction
2023

4671.

David, Amelie; Stroka, Steven; Haussmann, Norman; Schmülling, Benedikt; Clemens, Markus
Überprüfung der elektromagnetischen Umweltverträglichkeit bei induktiver Ladung
In Proff, Heike and Clemens, Markus and Marrón, Pedro J. and Schmülling, Benedikt, Editor
Page 143-180
Publisher: Springer Fachmedien Wiesbaden, Wiesbaden
2023
143-180

4670.

Dobrick, Alexander; Hölz, Julian; Kunze, Markus
Ultra Feller operators from a functional analytic perspective
2023

4669.

Poggi, Aurora; Di Persio, Luca; Ehrhardt, Matthias
Electricity Price Forecasting via Statistical and Deep Learning Approaches: The German Case
AppliedMath, 3 (2) :316--342
2023
Publisher: Multidisciplinary Digital Publishing Institute

4668.

Klamroth, Kathrin; Lang, Bruno; Stiglmayr, Michael
Efficient Dominance Filtering for Unions and Minkowski Sums of Non-Dominated Sets
Computers and Operations Research
2023
Publisher: Elsevier {BV}

4667.

Bolten, Matthias; Friedhoff, S.; Hahne, J.
Task graph-based performance analysis of parallel-in-time methods
Parallel Comput., 118 :103050
2023

4666.

Kordon, Florian; Stiglmayr, Michael; Maier, Andreas; Vicario, Celia Mart{\'{\i}}n; Pertlwieser, Tobias; Kunze, Holger
A principled representation of elongated structures using heatmaps
Scientific Reports, 13 (15253)
September 2023

4665.

Schäfers, Torben; Teng, Long
Asymmetry in stochastic volatility models with threshold and time-dependent correlation
Studies in Nonlinear Dynamics & Econometrics, 27 (2) :131–146
2023
Publisher: De Gruyter

4664.

Dehne, Tobias
Assessment of horizontal flame spread with solid pyrolysis modelling in the Fire Dynamics Simulator
Bergische Universität Wuppertal
2023

4663.

[en] Börger, Kristian; Ellingham, Jennifer; Belt, Alexander; Schultze, Thorsten; Bieder, Stefan; Weckman, Elizabeth; Arnold, Lukas
Assessing performance of LEDSA and Radiance method for measuring extinction coefficients in real-scale fire environments
Fire Safety Journal, 141
December 2023
ISSN: 03797112

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