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



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
2001

984.

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
2001

983.

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
2001

982.

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, 1437-2096

981.

Jacob, Birgit; Partington, Jonathan R.
The Weiss conjecture on admissibility of observation operators for contraction semigroups
Integral Equations Operator Theory, 40 (2) :231--243
2001

980.

Bartel, Andreas; Günther, Michael
The developments in multirating for coupled systems
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, 81 (S3) :739–742
2001

979.

Bartel, A.; G\"unther, Michael
The developments in multirating for coupled systems
Z. f. Angew. Math. u. Mech., 81 (3) :S739--S742
2001

978.

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
2001

977.

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
2001

976.

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
2001

975.

Tausch, Michael W.; Wachtendonk, M.
UNTERRICHTSPRAXIS S II, Band 1 ''Protolysegleichgewichte''
Herausgeber: Aulis Verlag Deubner, Köln
2001

974.

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
2001

973.

[german] Bohrmann, Claudia; Twellmann, M.; Tausch, Michael W.
Vom galvanischen Element zur Solarzelle
Naturwissenschaften im Unterricht Chemie, 66 (6) :12–16
2001

972.

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 & Francis

970.


A joint DAE/PDE model for interconnected electrical networks
Mathematical and Computer Modelling of Dynamical Systems, 6 (2) :114--128
2000
Herausgeber: Taylor \& Francis

969.

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
2000

968.

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
2000

967.

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
2000

966.

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
2000

965.

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
2000

964.

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
2000

963.

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 Press

962.

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 Press

961.

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