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
- 1996
675.
Polyansky, Oleg L.; Jensen, Per; Tennyson, Jonathan
The potential energy surface of H216O
Journal of Chemical Physics, 105 (15) :6490-6497
1996674.
Polyansky, Oleg L.; Jensen, Per; Tennyson, Jonathan
The Potential Energy Surface of Hydrogen Sulfide
Journal of Molecular Spectroscopy, 178 (2) :184-188
1996
Herausgeber: Academic Press673.
Bunker, Philip R.; Jensen, Per; Yamaguchi, Yukio; Schaefer III, Henry F.
The Rovibrational Energy Levels of Quasilinear c~ 1A1 Methylene
Journal of Molecular Spectroscopy, 179 (2) :263-268
1996
Herausgeber: Academic Press672.
Kozin, Igor N.; Jensen, Per; Polanz, Oliver; Klee, Stefan; Poteau, Laurent; Demaison, Jean
The Rotational Spectrum of H\(_{2}\)Te
Journal of Molecular Spectroscopy, 180 (2) :402-413
1996
Herausgeber: Academic Press671.
Kozin, Igor N.; Jensen, Per; Polanz, Oliver; Klee, Stefan; Poteau, Laurent; Demaison, Jean
The Rotational Spectrum of H\(_{2}\)Te
Journal of Molecular Spectroscopy, 180 (2) :402-413
1996
Herausgeber: Academic Press670.
Kozin, Igor N.; Jensen, Per; Polanz, Oliver; Klee, Stefan; Poteau, Laurent; Demaison, Jean
The Rotational Spectrum of H2Te
Journal of Molecular Spectroscopy, 180 (2) :402-413
1996
Herausgeber: Academic Press669.
Bunker, Philip R.; Jensen, Per; Yamaguchi, Yukio; Schaefer III, Henry F.
The Rovibrational Energy Levels of Quasilinear c\verb=~= \(^{1}\)A\(_{1}\) Methylene
Journal of Molecular Spectroscopy, 179 (2) :263-268
1996
Herausgeber: Academic Press668.
Bunker, Philip R.; Jensen, Per; Yamaguchi, Yukio; Schaefer III, Henry F.
The Rovibrational Energy Levels of Quasilinear c\verb=~= \(^{1}\)A\(_{1}\) Methylene
Journal of Molecular Spectroscopy, 179 (2) :263-268
1996
Herausgeber: Academic Press667.
Arste, J.; Klamroth, Kathrin; Mengersen, Ingrid
Three color Ramsey numbers for small graphs
Utilitas Mathematica, 49 :85--96
1996666.
[german] Tausch, Michael W.
Ungleiche Gleichgewichte
{CHEMKON}, 3 (3) :123--127
1996
Herausgeber: Wiley665.
Günther, Michael; Rentrop, Peter
The differential-algebraic index concept in electric circuit simulation
, Proceedings of the 3rd International Congress on Industrial and Applied MathematicsBand76, Seite 91–94
Herausgeber: Akademie Verlag Berlin
1996664.
The differential-algebraic index concept in electric circuit simulation
Zeitschrift fur angewandte Mathematik und Mechanik, 76 (1) :91--94
1996663.
Polyansky, Oleg L.; Jensen, Per; Tennyson, Jonathan
The Potential Energy Surface of Hydrogen Sulfide
Journal of Molecular Spectroscopy, 178 (2) :184-188
1996
Herausgeber: Academic Press662.
Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a1Δ(a2) States of BiCl, BiBr, and BiI
Journal of Molecular Spectroscopy, 175 (1) :48-53
1996
Herausgeber: Academic Press661.
Becker, Karl Heinz; Geiger, Harald; Wiesen, Peter
Kinetics of the reaction CH + N\(_{2}\) [M]→ Products in the range 10-620 torr and 298-1059 K
International Journal of Chemical Kinetics, 28 (2) :115-123
1996660.
Wiesen, Peter; Kleffmann, J{ö}rg; Kurtenbach, Ralf; Becker, Karl Heinz
Emission of nitrous oxide and methane from aero engines: Monitoring by tunable diode laser spectroscopy
Infrared Physics and Technology, 37 (1) :75-81
1996
Herausgeber: Pergamon659.
Wiesen, Peter; Kleffmann, J{ö}rg; Kurtenbach, Ralf; Becker, Karl Heinz
Emission of nitrous oxide and methane from aero engines: Monitoring by tunable diode laser spectroscopy
Infrared Physics and Technology, 37 (1) :75-81
1996
Herausgeber: Pergamon658.
Wiesen, Peter; Kleffmann, Jörg; Kurtenbach, Ralf; Becker, Karl Heinz
Emission of nitrous oxide and methane from aero engines: Monitoring by tunable diode laser spectroscopy
Infrared Physics and Technology, 37 (1) :75-81
1996
Herausgeber: Pergamon657.
Hamacher, Horst W.; Klamroth, Kathrin; Nickel, Stefan
EWGLA 8 Proceedings
Band 10 aus Special Issue of Studies in Locational Analysis
1996656.
Bunker, Philip R.; Jensen, Per; Yamaguchi, Yukio; Schaefer, Henry F.
High-level ab initio calculation of the rotation-vibration energies in the c\verb=~= \(^{1}\)A\(_{1}\) state of methylene, CH\(_{2}\)
Journal of Physical Chemistry, 100 (46) :18088-18092
1996655.
Bunker, Philip R.; Jensen, Per; Yamaguchi, Yukio; Schaefer, Henry F.
High-level ab initio calculation of the rotation-vibration energies in the c\verb=~= \(^{1}\)A\(_{1}\) state of methylene, CH\(_{2}\)
Journal of Physical Chemistry, 100 (46) :18088-18092
1996654.
Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a1Δ(a2) → X3Σ-(X21) Transitions of SbH and SbD
Journal of Molecular Spectroscopy, 179 (1) :79-84
1996
Herausgeber: Academic Press653.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Towle, J. P.; Brown, John M.
High-Resolution Study of the X\(_{2}\)1 → X\(_{1}\)0\(^{+}\) Fine-Structure Transition of BiF
Journal of Molecular Spectroscopy, 178 (2) :143-156
1996
Herausgeber: Academic Press652.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Towle, J. P.; Brown, John M.
High-Resolution Study of the X\(_{2}\)1 → X\(_{1}\)0\(^{+}\) Fine-Structure Transition of BiF
Journal of Molecular Spectroscopy, 178 (2) :143-156
1996
Herausgeber: Academic Press651.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Towle, J. P.; Brown, John M.
High-Resolution Study of the X21 → X10+ Fine-Structure Transition of BiF
Journal of Molecular Spectroscopy, 178 (2) :143-156
1996
Herausgeber: Academic Press