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

2016: 3392.
Maten, E Jan W; Putek, Piotr A; Günther, Michael; Pulch, Roland; Tischendorf, Caren; Strohm, Christian; Schoenmaker, Wim; Meuris, Peter; Smedt, Bart De; Benner, Peter; Feng, Lihong; Banagaaya, Nicodemus; Yue, Yao; Janssen, Rick; Dohmen, Jos J; Tasic, Bratislav; Deleu, Frederik; Gillon, Renaud; Wieers, Aarnout; Brachtendorf, Hans-Georg; Bittner, Kai; Kratochvíl, Tomáš; Petřzela, Jiří; Sotner, Roman; Götthans, Tomáš; Dřínovský, Jiří; Schöps, Sebastian; Guerra, David J Duque; Casper, Thorben; Gersem, Herbert De; Römer, Ulrich; Reynier, Pascal; Barroul, Patrice; Masliah, Denis; Rousseau, Benoît
Nanoelectronic COupled problems solutions - nanoCOPS: modelling, multirate, model order reduction, uncertainty quantification, fast fault simulation
Journal of Mathematics in Industry, 7 (1) :1–19
2016
Herausgeber: Springer Verlag
DOI: 10.1186/s13362-016-0025-5; 3391.
Maten, E Jan W; Putek, Piotr A; Günther, Michael; Pulch, Roland; Tischendorf, Caren; Strohm, Christian; Schoenmaker, Wim; Meuris, Peter; De Smedt, Bart; Benner, Peter; others
Nanoelectronic COupled problems solutions-nanoCOPS: modelling, multirate, model order reduction, uncertainty quantification, fast fault simulation
Journal of Mathematics in Industry, 7 (1) :1--19
2016
Herausgeber: SpringerOpen; 3390.
Onana Ahanda, Guy Gerald
Neuartige oberflächenaktive Verbindungen auf Basis von Citronensäure-bis-imiden
2016; 3389.
Golińska, Anna; Wegner, Sven-Ake
Non-power bounded generators of strongly continuous semigroups
J. Math. Anal. Appl., 436 (1) :429--438
2016
DOI: 10.1016/j.jmaa.2015.12.015; 3388.
Ehrhardt, Matthias; Jódar Sánchez, Lucas
Novel methods in computational finance
2016
ISBN: 3319612816; 3387.
Ehrhardt, Matthias; Jódar Sánchez, Lucas
Novel methods in computational finance
International Journal of Computer Mathematics, 93 (5) :723–724
2016
Herausgeber: Taylor & Francis
DOI: 10.1080/00207160.2015.1071692; 3386.
Ehrhardt, Matthias; Jódar Sánchez, Lucas
Novel methods in computational finance
International Journal of Computer Mathematics, 93 (5) :723–724
2016
Herausgeber: Taylor & Francis
DOI: 10.1080/00207160.2015.1071692; 3385.
Kauppila, Tiina J.; Haack, Alexander; Kroll, Kai; Kersten, Hendrik; Benter, Thorsten
Nucleophilic Aromatic Substitution Between Halogenated Benzene Dopants and Nucleophiles in Atmospheric Pressure Photoionization
Journal of The American Society for Mass Spectrometry, 27 (3) :422-431
2016
DOI: 10.1007/s13361-015-1315-7; 3384.
Kauppila, Tiina J.; Haack, Alexander; Kroll, Kai; Kersten, Hendrik; Benter, Thorsten
Nucleophilic Aromatic Substitution Between Halogenated Benzene Dopants and Nucleophiles in Atmospheric Pressure Photoionization
Journal of The American Society for Mass Spectrometry, 27 (3) :422-431
2016
DOI: 10.1007/s13361-015-1315-7; 3383.
Kauppila, Tiina J.; Haack, Alexander; Kroll, Kai; Kersten, Hendrik; Benter, Thorsten
Nucleophilic Aromatic Substitution Between Halogenated Benzene Dopants and Nucleophiles in Atmospheric Pressure Photoionization
Journal of The American Society for Mass Spectrometry, 27 (3) :422-431
2016
DOI: 10.1007/s13361-015-1315-7; 3382.
Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail
Numerical approximation of irregular SDEs via Skorokhod embeddings
Journal of Mathematical Analysis and Applications, 440 (2) :692--715
2016
Herausgeber: Elsevier; 3381.
Ankirchner, Stefan; Kruse, Thomas; Urusov, Mikhail
Numerical approximation of irregular SDEs via Skorokhod embeddings
Journal of Mathematical Analysis and Applications, 440 (2) :692–715
2016
Herausgeber: Elsevier
DOI: 10.1016/j.jmaa.2016.03.055; 3380.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
On the Heston model with stochastic correlation
International Journal of Theoretical and Applied Finance, 19 (06) :1650033
2016
Herausgeber: World Scientific Publishing Company; 3379.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
On the Heston model with stochastic correlation
International Journal of Theoretical and Applied Finance, 19 (06) :1650033
2016
Herausgeber: World Scientific Publishing
DOI: 10.1142/S0219024916500333; 3378.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
On the Heston model with stochastic correlation
International Journal of Theoretical and Applied Finance, 19 (06) :1650033
2016
Herausgeber: World Scientific Publishing
DOI: 10.1142/S0219024916500333; 3377.
Teng, Long; Ehrhardt, Matthias; Günther, Michael
On the Heston model with stochastic correlation
International Journal of Theoretical and Applied Finance, 19 (06) :1650033
2016
Herausgeber: World Scientific Publishing
DOI: 10.1142/S0219024916500333; 3376.
Kossaczk{\'{y}}, Igor; Ehrhardt, Matthias; Günther, Michael
On the non-existence of higher order monotone approximation schemes for {HJB} equations
Applied Mathematics Letters, 52 :53--57
Februar 2016
Herausgeber: Elsevier {BV}
DOI: 10.1016/j.aml.2015.08.005; 3375.
Ehrhardt, Matthias; Günther, Michael
On the non-existence of higher order monotone approximation schemes for HJB equations
Applied Mathematics Letters, 52 :53--57
2016
Herausgeber: Pergamon; 3374.
Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
On the non-existence of higher order monotone approximation schemes for HJB equations
Applied Mathematics Letters, 52 :53–57
2016
Herausgeber: Pergamon
DOI: 10.1016/j.aml.2015.08.005; 3373.
Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
On the non-existence of higher order monotone approximation schemes for HJB equations
Applied Mathematics Letters, 52 :53–57
2016
Herausgeber: Pergamon
DOI: 10.1016/j.aml.2015.08.005; 3372.
Kossaczky, Igor; Ehrhardt, Matthias; Günther, Michael
On the non-existence of higher order monotone approximation schemes for HJB equations
Applied Mathematics Letters, 52 :53–57
2016
Herausgeber: Pergamon
DOI: 10.1016/j.aml.2015.08.005; 3371.
Glück, Jochen
On the peripheral spectrum of positive operators
Positivity, 20 (2) :307--336
2016
ISSN: 1385-1292
DOI: 10.1007/s11117-015-0357-1
Download; 3370.
Gallus, Jens; Kirchner, Ulf; Vogt, Rainer; Boerensen, Christoph; Benter, Thorsten
On-road particle number measurements using a portable emission measurement system (PEMS)
Atmospheric Environment, 124 (A) :37-45
2016
DOI: 10.1016/j.atmosenv.2015.11.012; 3369.
Gallus, Jens; Kirchner, Ulf; Vogt, Rainer; Boerensen, Christoph; Benter, Thorsten
On-road particle number measurements using a portable emission measurement system (PEMS)
Atmospheric Environment, 124 (A) :37-45
2016
DOI: 10.1016/j.atmosenv.2015.11.012; 3368.
Gallus, Jens; Kirchner, Ulf; Vogt, Rainer; Boerensen, Christoph; Benter, Thorsten
On-road particle number measurements using a portable emission measurement system (PEMS)
Atmospheric Environment, 124 (A) :37-45
2016
DOI: 10.1016/j.atmosenv.2015.11.012