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



1993

430.

Jensen, Per; Kozin, Igor N.
The Potential Energy Surface for the Electronic Ground State of H\(_{2}\)Se Derived from Experiment
Journal of Molecular Spectroscopy, 160 (1) :39-57
1993
Herausgeber: Academic Press

429.

Jensen, Per; Kozin, Igor N.
The Potential Energy Surface for the Electronic Ground State of H\(_{2}\)Se Derived from Experiment
Journal of Molecular Spectroscopy, 160 (1) :39-57
1993
Herausgeber: Academic Press

428.

Biggs, P.; Canosa-Mas, Carlos E.; Monks, P. S.; Wayne, Richard P.; Benter, Thorsten; Schindler, Ralph N.
The kinetics of the nitrate radical self-reaction
International Journal of Chemical Kinetics, 25 (10) :805-817
1993

427.

Biggs, P.; Canosa-Mas, Carlos E.; Monks, P. S.; Wayne, Richard P.; Benter, Thorsten; Schindler, Ralph N.
The kinetics of the nitrate radical self-reaction
International Journal of Chemical Kinetics, 25 (10) :805-817
1993

426.

Becker, Karl Heinz; Engelhardt, B.; Geiger, Harald; Kurtenbach, Ralf; Wiesen, Peter
Temperature dependence of the reactions of CH radicals with NO, NH\(_{3}\) and N\(_{2}\)O in the range 200-1300 K
Chemical Physics Letters, 210 (1-3) :135-140
1993

425.

Kozin, Igor N.; Klee, Stefan; Jensen, Per; Polyansky, Oleg L.; Pavlichenkov, I. M.
The Far-Infrared Fourier Transform Spectrum of H2Se
Journal of Molecular Spectroscopy, 158 (2) :409-422
1993
Herausgeber: Academic Press

424.

Kozin, Igor N.; Klee, Stefan; Jensen, Per; Polyansky, Oleg L.; Pavlichenkov, I. M.
The Far-Infrared Fourier Transform Spectrum of H\(_{2}\)Se
Journal of Molecular Spectroscopy, 158 (2) :409-422
1993
Herausgeber: Academic Press

423.

Kozin, Igor N.; Klee, Stefan; Jensen, Per; Polyansky, Oleg L.; Pavlichenkov, I. M.
The Far-Infrared Fourier Transform Spectrum of H\(_{2}\)Se
Journal of Molecular Spectroscopy, 158 (2) :409-422
1993
Herausgeber: Academic Press

422.

Jørgensen, Uffe G.; Jensen, Per
The Dipole Moment Surface and the Vibrational Transition Moments of H2O
Journal of Molecular Spectroscopy, 161 (1) :219-242
1993
Herausgeber: Academic Press

421.

J{\o}rgensen, Uffe G.; Jensen, Per
The Dipole Moment Surface and the Vibrational Transition Moments of H\(_{2}\)O
Journal of Molecular Spectroscopy, 161 (1) :219-242
1993
Herausgeber: Academic Press

420.

J{\o}rgensen, Uffe G.; Jensen, Per
The Dipole Moment Surface and the Vibrational Transition Moments of H\(_{2}\)O
Journal of Molecular Spectroscopy, 161 (1) :219-242
1993
Herausgeber: Academic Press

419.

Shestakov, Oleg; Fink, Ewald H.
The a3Σ+(a11) - X1Σ+(X0+) transition of BiN
Chemical Physics Letters, 211 (4-5) :473-477
1993

418.

Shestakov, Oleg; Fink, Ewald H.
The a\(^{3}\)\(\Sigma\)\(^{+}\)(a\(_{1}\)1) - X\(^{1}\)\(\Sigma\)\(^{+}\)(X0\(^{+}\)) transition of BiN
Chemical Physics Letters, 211 (4-5) :473-477
1993

417.

Shestakov, Oleg; Fink, Ewald H.
The a\(^{3}\)\(\Sigma\)\(^{+}\)(a\(_{1}\)1) - X\(^{1}\)\(\Sigma\)\(^{+}\)(X0\(^{+}\)) transition of BiN
Chemical Physics Letters, 211 (4-5) :473-477
1993

416.

Becker, Karl Heinz; Engelhardt, B.; Geiger, Harald; Kurtenbach, Ralf; Wiesen, Peter
Temperature dependence of the reactions of CH radicals with NO, NH3 and N2O in the range 200-1300 K
Chemical Physics Letters, 210 (1-3) :135-140
1993

415.

Becker, Karl Heinz; Engelhardt, B.; Geiger, Harald; Kurtenbach, Ralf; Wiesen, Peter
Temperature dependence of the reactions of CH radicals with NO, NH\(_{3}\) and N\(_{2}\)O in the range 200-1300 K
Chemical Physics Letters, 210 (1-3) :135-140
1993

414.

Denk, G.; G\"unther, Michael; Schmidt, W.
Olympische Chips: Schaltkreise -- Spannung in der Numerik
Technische Universit\"at M\"unchen, TUM-Sonderreihe Forschung f\"ur Bayern, Heft 6: Fakult\"at f\"ur Mathematik, Fakult\"at f\"ur Informatik, Seite 14--15
1993
1992

413.

Heilmann, Margareta
Rate of approximation of weighted derivatives by linear combinations of SMD-operators
Numerical Methods in Approximation Theory - Proceedings of the conference held in Oberwolfach Germany, November 24-30, 1991, Seite 97-115
In D. Braess et al., Editor
Herausgeber: Birkhäuser, Basel, Int. Ser. Numer. Math. 105
1992

412.

Bunker, Philip R.; Hamilton, I. P.; Jensen, Per
Rotation-vibration energies for the HO\(_{2}\) molecule
Journal of Molecular Spectroscopy, 155 (1) :44-54
1992

411.

Becker, Karl Heinz; Engelhardt, B.; Geiger, Harald; Kurtenbach, Ralf; Schrey, G.; Wiesen, Peter
Temperature dependence of the CH+N2 reaction at low total pressure
Chemical Physics Letters, 195 (4) :322-328
1992

410.

Shestakov, Oleg; Pravilov, A. M.; Demes, H.; Fink, Ewald H.
Radiative lifetime and quenching of the A \(^{2}\)\(\Sigma\)\(^{+}\) and X\(_{2}\) \(^{2}\)\(\Pi\)\(_{3/2}\) states of PbF
Chemical Physics, 165 (2-3) :415-427
1992

409.

Shestakov, Oleg; Pravilov, A. M.; Demes, H.; Fink, Ewald H.
Radiative lifetime and quenching of the A 2Σ+ and X2 2Π3/2 states of PbF
Chemical Physics, 165 (2-3) :415-427
1992

408.

Bunker, Philip R.; Hamilton, I. P.; Jensen, Per
Rotation-vibration energies for the HO\(_{2}\) molecule
Journal of Molecular Spectroscopy, 155 (1) :44-54
1992

407.

Bunker, Philip R.; Hamilton, I. P.; Jensen, Per
Rotation-vibration energies for the HO2 molecule
Journal of Molecular Spectroscopy, 155 (1) :44-54
1992

406.

Maten, E. J. W.; Melissen, J. B. M.
Simulation of inductive heating
{IEEE} Transactions on Magnetics, 28 (2) :1287--1290
März 1992
Herausgeber: Institute of Electrical and Electronics Engineers ({IEEE})

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