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

2002: 1143.
Mannschreck, K.; B{ä}chmann, K.; Becker, Karl Heinz; Heil, Th.; Kurtenbach, Ralf; Memmesheimer, M.; Mohnen, V.; Obermeier, A.; Poppe, Dirk; Steinbrecher, R.; Schmitz, Th.; Volz-Thomas, A.; Zabel, Friedhelm
A database for volatile organic compounds
Journal of Atmospheric Chemistry, 42 (1-3) :281-286
2002
DOI: 10.1023/A:1015708211775; 1142.
Mannschreck, K.; Bächmann, K.; Becker, Karl Heinz; Heil, Th.; Kurtenbach, Ralf; Memmesheimer, M.; Mohnen, V.; Obermeier, A.; Poppe, Dirk; Steinbrecher, R.; Schmitz, Th.; Volz-Thomas, A.; Zabel, Friedhelm
A database for volatile organic compounds
Journal of Atmospheric Chemistry, 42 (1-3) :281-286
2002
DOI: 10.1023/A:1015708211775; 1141.
Pulch, R.; Günther, M.
A method of characteristics for solving multirate partial differential equations in radio frequency application
Applied Numerical Mathematics, 42 (1) :397–409
2002
Herausgeber: Elsevier
DOI: 10.1016/S0168-9274(01)00163-5; 1140.
Pulch, Roland; Günther, Michael
A method of characteristics for solving multirate partial differential equations in radio frequency application
Applied numerical mathematics, 42 (1-3) :397--409
2002
Herausgeber: North-Holland; 1139.
Bartel, Andreas; Günther, Michael
A multirate W-method for electrical networks in state-space formulation
Journal of Computational and Applied Mathematics, 147 (2) :411–425
2002
Herausgeber: Elsevier
DOI: 10.1016/S0377-0427(02)00476-4; 1138.
Bartel, A.; G\"unther, Michael
A multirate W-method for electrical networks in state-space formulation
Comp.~Appl.~Math., 147 (2) :411--425
2002; 1137.
Odaka, Tina Erica; Hirano, Tsuneo; Jensen, Per
A theoretical study of A\verb=~=\(^{2}\)\(\Pi\) MgCN
Journal of Molecular Spectroscopy, 216 (2) :379-396
2002
DOI: 10.1006/jmsp.2002.8633; 1136.
Odaka, Tina Erica; Hirano, Tsuneo; Jensen, Per
A theoretical study of A\verb=~=\(^{2}\)\(\Pi\) MgCN
Journal of Molecular Spectroscopy, 216 (2) :379-396
2002
DOI: 10.1006/jmsp.2002.8633; 1135.
Jensen, Per; Wesolowski, Steven S.; Brinkmann, Nicole R.; Richardson, Nancy A.; Yamaguchi, Yukio; Schaefer, Henry F.; Bunker, Philip R.
A Theoretical Study of a\verb=~=\(^{4}\)A\(_{2}\) CH\(_{2}\)\(^{+}\)
Journal of Molecular Spectroscopy, 211 (2) :254-261
2002
DOI: 10.1006/jmsp.2001.8503; 1134.
Jensen, Per; Wesolowski, Steven S.; Brinkmann, Nicole R.; Richardson, Nancy A.; Yamaguchi, Yukio; Schaefer, Henry F.; Bunker, Philip R.
A Theoretical Study of a\verb=~=\(^{4}\)A\(_{2}\) CH\(_{2}\)\(^{+}\)
Journal of Molecular Spectroscopy, 211 (2) :254-261
2002
DOI: 10.1006/jmsp.2001.8503; 1133.
Odaka, Tina Erica; Hirano, Tsuneo; Jensen, Per
A theoretical study of A~2Π MgCN
Journal of Molecular Spectroscopy, 216 (2) :379-396
2002
DOI: 10.1006/jmsp.2002.8633; 1132.
Jensen, Per; Wesolowski, Steven S.; Brinkmann, Nicole R.; Richardson, Nancy A.; Yamaguchi, Yukio; Schaefer, Henry F.; Bunker, Philip R.
A Theoretical Study of a~4A2 CH2+
Journal of Molecular Spectroscopy, 211 (2) :254-261
2002
DOI: 10.1006/jmsp.2001.8503; 1131.
Hirano, Tsuneo; Ishii, Keisaku; Odaka, Tina Erica; Jensen, Per
A Theoretical Study of MgNC and MgCN in the X\verb=~=\(^{2}\)\(\Sigma\)\(^{+}\) Electronic State
Journal of Molecular Spectroscopy, 215 (1) :42-57
2002
DOI: 10.1006/jmsp.2002.8598; 1130.
Hirano, Tsuneo; Ishii, Keisaku; Odaka, Tina Erica; Jensen, Per
A Theoretical Study of MgNC and MgCN in the X\verb=~=\(^{2}\)\(\Sigma\)\(^{+}\) Electronic State
Journal of Molecular Spectroscopy, 215 (1) :42-57
2002
DOI: 10.1006/jmsp.2002.8598; 1129.
Hirano, Tsuneo; Ishii, Keisaku; Odaka, Tina Erica; Jensen, Per
A Theoretical Study of MgNC and MgCN in the X~2Σ+ Electronic State
Journal of Molecular Spectroscopy, 215 (1) :42-57
2002
DOI: 10.1006/jmsp.2002.8598; 1128.
Jacob, Birgit; Partington, Jonathan R.; Pott, Sandra
Admissible and weakly admissible observation operators for the right shift semigroup
Proc. Edinb. Math. Soc. (2), 45 (2) :353--362
2002
DOI: 10.1017/S0013091500001024; 1127.
Odaka, Tina Erica; Hirano, Tsuneo; Jensen, Per
An ab initio study of the A\verb=~= \(^{2}\)\(\Pi\) state and the A\verb=~= \(^{2}\)\(\Pi\) ← X\verb=~= \(^{2}\)\(\Sigma\)\(^{+}\) electronic transition of MgNC
Journal of Molecular Spectroscopy, 211 (1) :147-161
2002
DOI: 10.1006/jmsp.2001.8485; 1126.
Odaka, Tina Erica; Hirano, Tsuneo; Jensen, Per
An ab initio study of the A\verb=~= \(^{2}\)\(\Pi\) state and the A\verb=~= \(^{2}\)\(\Pi\) ← X\verb=~= \(^{2}\)\(\Sigma\)\(^{+}\) electronic transition of MgNC
Journal of Molecular Spectroscopy, 211 (1) :147-161
2002
DOI: 10.1006/jmsp.2001.8485; 1125.
Odaka, Tina Erica; Hirano, Tsuneo; Jensen, Per
An ab initio study of the A~ 2Π state and the A~ 2Π ← X~ 2Σ+ electronic transition of MgNC
Journal of Molecular Spectroscopy, 211 (1) :147-161
2002
DOI: 10.1006/jmsp.2001.8485; 1124.
Tausch, Michael W.; Weber, O.
Analytische Chemie - ein in der Schule verkannter Teilbereich?
Praxis der Naturwissenschaften - Chemie in der Schule, 51 (4) :36
2002; 1123.
Tausch, Michael W.
Aromatenchemie heute - Es muss nicht immer Benzol sein
Praxis der Naturwissenschaften - Chemie in der Schule, 51 (3) :1
2002; 1122.
Geiger, Harald; Barnes, Ian; Becker, Karl Heinz; Bohn, Birger; Brauers, Theo; Donner, Birgit; Dorn, Hans-Peter; Elend, Manfred; Freitas Dinis, Carlos M.; Grossmann, Dirk; Hass, Heinz; Hein, Holger; Hoffmann, Axel; Hoppe, Lars; Hülsemann, Frank; Kley, Dieter; Klotz, Björn; Libuda, Hans G.; Maurer, Tobias; Mihelcic, Djuro; Moortgat, Geert K.; Olariu, Romeo; Neeb, Peter; Poppe, Dirk; Ruppert, Lars; Sauer, Claudia G.; Shestakov, Oleg; Somnitz, Holger; Stockwell, William R.; Thüner, Lars P.; Wahner, Andreas; Wiesen, Peter; Zabel, Friedhelm; Zellner, Reinhard; Zetzsch, Cornelius
Chemical Mechanism Development: Laboratory Studies and Model Applications
Tropospheric Chemistry
Seite 323-357
Herausgeber: Springer Netherlands, Dordrecht
2002
323-357
DOI: 10.1007/978-94-010-0399-5_14; 1121.
Geiger, Harald; Barnes, Ian; Becker, Karl Heinz; Bohn, Birger; Brauers, Theo; Donner, Birgit; Dorn, Hans-Peter; Elend, Manfred; Freitas Dinis, Carlos M.; Grossmann, Dirk; Hass, Heinz; Hein, Holger; Hoffmann, Axel; Hoppe, Lars; H{ü}lsemann, Frank; Kley, Dieter; Klotz, Bj{ö}rn; Libuda, Hans G.; Maurer, Tobias; Mihelcic, Djuro; Moortgat, Geert K.; Olariu, Romeo; Neeb, Peter; Poppe, Dirk; Ruppert, Lars; Sauer, Claudia G.; Shestakov, Oleg; Somnitz, Holger; Stockwell, William R.; Th{ü}ner, Lars P.; Wahner, Andreas; Wiesen, Peter; Zabel, Friedhelm; Zellner, Reinhard; Zetzsch, Cornelius
Chemical Mechanism Development: Laboratory Studies and Model Applications
Tropospheric Chemistry
Seite 323-357
Herausgeber: Springer Netherlands, Dordrecht
2002
323-357
DOI: 10.1007/978-94-010-0399-5_14; 1120.
Geiger, Harald; Barnes, Ian; Becker, Karl Heinz; Bohn, Birger; Brauers, Theo; Donner, Birgit; Dorn, Hans-Peter; Elend, Manfred; Freitas Dinis, Carlos M.; Grossmann, Dirk; Hass, Heinz; Hein, Holger; Hoffmann, Axel; Hoppe, Lars; H{ü}lsemann, Frank; Kley, Dieter; Klotz, Bj{ö}rn; Libuda, Hans G.; Maurer, Tobias; Mihelcic, Djuro; Moortgat, Geert K.; Olariu, Romeo; Neeb, Peter; Poppe, Dirk; Ruppert, Lars; Sauer, Claudia G.; Shestakov, Oleg; Somnitz, Holger; Stockwell, William R.; Th{ü}ner, Lars P.; Wahner, Andreas; Wiesen, Peter; Zabel, Friedhelm; Zellner, Reinhard; Zetzsch, Cornelius
Chemical Mechanism Development: Laboratory Studies and Model Applications
Tropospheric Chemistry
Seite 323-357
Herausgeber: Springer Netherlands, Dordrecht
2002
323-357
DOI: 10.1007/978-94-010-0399-5_14; 1119.
Appel, Matthew F.; van der Veer, Wytze E.; Benter, Thorsten
Conductive carbon filled polymeric electrodes: Novel ion optical elements for time-of-flight mass spectrometers
Journal of The American Society for Mass Spectrometry, 13 (10) :1170-1175
2002
DOI: 10.1016/S1044-0305(02)00438-5