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



2019

4041.

Wissdorf, Walter; Lorenz, Matthias; Brockmann, Klaus Josef; Benter, Thorsten
Systematic Ion Source Parameter Assessment by Automated Determination of the Distribution of Ion Acceptance (DIA) Using APLI
Journal of The American Society for Mass Spectrometry, 30 (7) :1262-1275
2019
Publisher: Journal of The American Society for Mass Spectrometry

4040.

[english] Grandrath, Rebecca; Bohrmann-Linde, Claudia
Teaching Sustainability in the Chemistry Classroom: Exploring Fuel Cells in Simple Hands-on Experiments with Hydrogen, Sugar and Alcohol
World Journal of Chemical Education, 7 (2) :172-178
2019
ISSN: 2375-1657

4039.

Janssen, Rick; Gillon, Renaud; Wieers, Aarnout; Deleu, Frederik; Guegnaud, Hervé; Reynier, Pascal; Schoenmaker, Wim; Maten, E. Jan W.
Test cases for power-MOS devices and RF-circuitry
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor from Mathematics in Industry
Page 459–485
Publisher: Springer Cham
2019
459–485

4038.

Ehrhardt, Matthias; Günther, Michael
The 2D tree--grid method
Journal of Computational Finance
2019

4037.

Biallas, Phillip; Mensak, Tobias M.; Kunz, Kevin-Alexander; Kirsch, Stefan F.
The Deazidoalkoxylation: Sequential Nucleophilic Substitutions with Diazidated Diethyl Malonate
The Journal of Organic Chemistry, 84 (3) :1654–1663
2019
ISSN: 0022-3263

4036.

Ferrari, Paola; Furci, Isabella; Hon, Sean; Mursaleen, Mohammad Ayman; Serra-Capizzano, Stefano
The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures
SIAM J. Matrix Anal. Appl., 40 (3) :1066-1086
2019

4035.

Ferrari, Paola; Furci, Isabella; Hon, Sean; Mursaleen, Mohammad Ayman; Serra-Capizzano, Stefano
The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures
SIAM J. Matrix Anal. Appl., 40 (3) :1066-1086
2019
ISSN: 0895-4798

4034.

Ferrari, Paola; Furci, Isabella; Hon, Sean; Mursaleen, Mohammad Ayman; Serra-Capizzano, Stefano
The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures
SIAM J. Matrix Anal. Appl., 40 (3) :1066-1086
2019
ISSN: 0895-4798

4033.

Kruse, Thomas; Schneider, Judith C; Schweizer, Nikolaus
The joint impact of F-divergences and reference models on the contents of uncertainty sets
Operations Research, 67 (2) :428--435
2019
Publisher: INFORMS

4032.

Kruse, Thomas; Schneider, Judith; Schweizer, Nikolaus
The joint impact of F-divergences and reference models on the contents of uncertainty sets
Operations Research, 67 (2) :428–435
2019
Publisher: INFORMS

4031.

Bunker, Philip R.; Mills, Ian M.; Jensen, Per
The Planck constant and its units
Journal of Quantitative Spectroscopy and Radiative Transfer, 237 :106594
2019

4030.

Bunker, Philip R.; Mills, Ian M.; Jensen, Per
The Planck constant and its units
Journal of Quantitative Spectroscopy and Radiative Transfer, 237 :106594
2019

4029.

Bunker, Philip R.; Mills, Ian M.; Jensen, Per
The Planck constant and its units
Journal of Quantitative Spectroscopy and Radiative Transfer, 237 :106594
2019

4028.

Ehrhardt, Matthias; Günther, Michael
The Two-Dimensional Tree--Grid Method
Journal of Computational Finance, Forthcoming
2019

4027.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
The two-dimensional tree-grid method
Journal of Computational Finance, 23 (2) :29–57
2019
Publisher: Incisive Media

4026.

Kossaczky, Igor; Ehrhardt, Matthias
The two-dimensional tree-grid method
JOURNAL OF COMPUTATIONAL FINANCE, 23 (2) :29--57
2019
Publisher: INCISIVE MEDIA HAYMARKET HOUSE, 28-29 HAYMARKET, LONDON, SW1Y 4RX, ENGLAND

4025.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
The two-dimensional tree-grid method
Journal of Computational Finance, 23 (2) :29–57
2019
Publisher: Incisive Media

4024.

Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
The two-dimensional tree-grid method
Journal of Computational Finance, 23 (2) :29–57
2019
Publisher: Incisive Media

4023.

Palma-Cando, A.; Rendon-Enriquez, Ibeth; Tausch, Michael W.; Scherf, U.
Thin Functional Polymer Films by Electropolymerization
Nanomaterials, 9 (8) :1125
2019

4022.

[english] Kremer, Richard; Meuter, Nico; Tausch, Michael W.
Towards Artificial Photosynthesis - Promoting Microscale Photochemistry in Science Education
African Journal of Chemical Education, 9 (3) :120-134
2019

4021.

[english] Brunnert, Rainer; Yurdanur, Yasemin; Tausch, Michael W.
Towards Artificial Photosynthesis in Science Education
World Journal of Chemical Education, 7 (2) :33--39
2019
Publisher: Science and Education Publishing Co., Ltd.

4020.

Mellor, Thomas M.; Yurchenko, Sergey N.; Mant, Barry P.; Jensen, Per
Transformation Properties under the Operations of the Molecular Symmetry Groups G\(_{36}\) and G\(_{36}\)(EM) of Ethane H\(_{3}\)CCH\(_{3}\)
Symmetry, 11 (7) :862
2019

4019.

Mellor, Thomas M.; Yurchenko, Sergey N.; Mant, Barry P.; Jensen, Per
Transformation Properties under the Operations of the Molecular Symmetry Groups G\(_{36}\) and G\(_{36}\)(EM) of Ethane H\(_{3}\)CCH\(_{3}\)
Symmetry, 11 (7) :862
2019

4018.

Mellor, Thomas M.; Yurchenko, Sergey N.; Mant, Barry P.; Jensen, Per
Transformation Properties under the Operations of the Molecular Symmetry Groups G36 and G36(EM) of Ethane H3CCH3
Symmetry, 11 (7) :862
2019

4017.

Ehrhardt, Matthias
Transparent nonlinear networks
Physical Review E, 100 (3) :032204
2019
Publisher: American Physical Society