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
- 2001
985.
McKeachie, J. Ryan; Veer, Wytze E.; Short, Luke Chandler; Garnica, R. M.; Appel, Matthew F.; Benter, Thorsten
Selective ultra-trace detection of NO and NO\(_{2}\) in complex gas mixtures using broad-bandwidth REMPI mass spectrometry
Analyst, 126 (8) :1221-1228
2001984.
McKeachie, J. Ryan; Veer, Wytze E.; Short, Luke Chandler; Garnica, R. M.; Appel, Matthew F.; Benter, Thorsten
Selective ultra-trace detection of NO and NO\(_{2}\) in complex gas mixtures using broad-bandwidth REMPI mass spectrometry
Analyst, 126 (8) :1221-1228
2001983.
McKeachie, J. Ryan; van der Veer, Wytze E.; Short, Luke Chandler; Garnica, R. M.; Appel, Matthew F.; Benter, Thorsten
Selective ultra-trace detection of NO and NO2 in complex gas mixtures using broad-bandwidth REMPI mass spectrometry
Analyst, 126 (8) :1221-1228
2001982.
Bach, Thorsten; Kirsch, Stefan
Synthesis of 6-Substituted 4-Hydroxy-2-pyrones from Aldehydes by Addition of an Acetoacetate Equivalent, Dess-Martin Oxidation and Subsequent Cyclization
Synlett, 2001 (12) :1974–1976
2001
ISSN: 0936-5214, 1437-2096981.
Jacob, Birgit; Partington, Jonathan R.
The Weiss conjecture on admissibility of observation operators for contraction semigroups
Integral Equations Operator Theory, 40 (2) :231--243
2001980.
Bartel, Andreas; Günther, Michael
The developments in multirating for coupled systems
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, 81 (S3) :739–742
2001979.
Bartel, A.; G\"unther, Michael
The developments in multirating for coupled systems
Z. f. Angew. Math. u. Mech., 81 (3) :S739--S742
2001978.
Yurchenko, Sergey N.; Jensen, Per; Li, Yan; Buenker, Robert J.; Bunker, Philip R.
The near ultraviolet band system of singlet methylene
Journal of Molecular Spectroscopy, 208 (1) :136-143
2001977.
Yurchenko, Sergey N.; Jensen, Per; Li, Yan; Buenker, Robert J.; Bunker, Philip R.
The near ultraviolet band system of singlet methylene
Journal of Molecular Spectroscopy, 208 (1) :136-143
2001976.
Yurchenko, Sergey N.; Jensen, Per; Li, Yan; Buenker, Robert J.; Bunker, Philip R.
The near ultraviolet band system of singlet methylene
Journal of Molecular Spectroscopy, 208 (1) :136-143
2001975.
Tausch, Michael W.; Wachtendonk, M.
UNTERRICHTSPRAXIS S II, Band 1 ''Protolysegleichgewichte''
Herausgeber: Aulis Verlag Deubner, Köln
2001974.
Tausch, Michael W.; Woock, M.; Twellmann, M.
Vom Erdöl zum Kaugummi - ein Kontext und seine Facetten
Praxis der Naturwissenschaften - Chemie in der Schule, 50 (1) :11
2001973.
[german] Bohrmann, Claudia; Twellmann, M.; Tausch, Michael W.
Vom galvanischen Element zur Solarzelle
Naturwissenschaften im Unterricht Chemie, 66 (6) :12–16
2001972.
Jacob, Birgit
Zeros of Fredholm operator valued H^p-functions
Math. Nachr., 227 :81--97
2001- 2000
971.
Günther, Michael
A joint DAE/PDE model for interconnected electrical networks
Mathematical and Computer Modelling of Dynamical Systems, 6 :114–128
2000
Herausgeber: Taylor & Francis970.
A joint DAE/PDE model for interconnected electrical networks
Mathematical and Computer Modelling of Dynamical Systems, 6 (2) :114--128
2000
Herausgeber: Taylor \& Francis969.
Garnica, R. M.; Appel, Matthew F.; Eagan, L.; McKeachie, J. Ryan; Benter, Thorsten
A REMPI method for the ultrasensitive detection of NO and NO\(_{2}\) using atmospheric pressure laser ionization mass spectrometry
Analytical Chemistry, 72 (22) :5639-5646
2000968.
Garnica, R. M.; Appel, Matthew F.; Eagan, L.; McKeachie, J. Ryan; Benter, Thorsten
A REMPI method for the ultrasensitive detection of NO and NO\(_{2}\) using atmospheric pressure laser ionization mass spectrometry
Analytical Chemistry, 72 (22) :5639-5646
2000967.
Garnica, R. M.; Appel, Matthew F.; Eagan, L.; McKeachie, J. Ryan; Benter, Thorsten
A REMPI method for the ultrasensitive detection of NO and NO2 using atmospheric pressure laser ionization mass spectrometry
Analytical Chemistry, 72 (22) :5639-5646
2000966.
Gu, Jian-ping; Hirsch, Gerhard; Buenker, Robert J.; Brumm, Martin; Osmann, Gerald; Bunker, Philip R.; Jensen, Per
A theoretical study of the absorption spectrum of singlet CH\(_{2}\)
Journal of Molecular Structure, 517-518 :247-264
2000965.
Gu, Jian-ping; Hirsch, Gerhard; Buenker, Robert J.; Brumm, Martin; Osmann, Gerald; Bunker, Philip R.; Jensen, Per
A theoretical study of the absorption spectrum of singlet CH\(_{2}\)
Journal of Molecular Structure, 517-518 :247-264
2000964.
Gu, Jian-ping; Hirsch, Gerhard; Buenker, Robert J.; Brumm, Martin; Osmann, Gerald; Bunker, Philip R.; Jensen, Per
A theoretical study of the absorption spectrum of singlet CH2
Journal of Molecular Structure, 517-518 :247-264
2000963.
Vander Auwera, J.; Kleffmann, J{ö}rg; Flaud, Jean-Marie; Pawelke, G.; B{ü}rger, H.; Hurtmans, D.; P{é}trisse, R.
Absolute \(\nu\)\(_{2}\) Line Intensities of HOCl by Simultaneous Measurements in the Infrared with a Tunable Diode Laser and Far-Infrared Region Using a Fourier Transform Spectrometer
Journal of Molecular Spectroscopy, 204 (1) :36-47
2000
Herausgeber: Academic Press962.
Vander Auwera, J.; Kleffmann, J{ö}rg; Flaud, Jean-Marie; Pawelke, G.; B{ü}rger, H.; Hurtmans, D.; P{é}trisse, R.
Absolute \(\nu\)\(_{2}\) Line Intensities of HOCl by Simultaneous Measurements in the Infrared with a Tunable Diode Laser and Far-Infrared Region Using a Fourier Transform Spectrometer
Journal of Molecular Spectroscopy, 204 (1) :36-47
2000
Herausgeber: Academic Press961.
Vander Auwera, J.; Kleffmann, Jörg; Flaud, Jean-Marie; Pawelke, G.; Bürger, H.; Hurtmans, D.; Pétrisse, R.
Absolute ν2 Line Intensities of HOCl by Simultaneous Measurements in the Infrared with a Tunable Diode Laser and Far-Infrared Region Using a Fourier Transform Spectrometer
Journal of Molecular Spectroscopy, 204 (1) :36-47
2000
Herausgeber: Academic Press