Multirate Partial Differential Algebraic Equations
In radio frequency (RF) applications, electric circuits produce signals exhibiting fast oscillations, whereas the amplitude and/or frequency change slowly in time. Thus, solving a system of differential algebraic equations (DAEs), which describes the circuit's transient behaviour, becomes inefficient, since the fast rate restricts the step sizes in time. A multivariate model is able to decouple the widely separated time scales of RF signals and provides an alternative approach. Consequently, a system of DAEs changes into a system of multirate partial differential algebraic equations (MPDAEs). The determination of multivariate solutions allows for the exact reconstruction of corresponding time-dependent signals. Hence, an efficient numerical simulation is obtained by exploiting the periodicities in fast time scales. On the one hand, the simulation of enveloppe-modulated signals requires the solution of initial-boundary value problems of the MPDAEs. On the other hand, the simulation of quasiperiodic signals implies multiperiodic boundary conditions only for the MPDAEs. In case of quasiperiodic signals, a method of characteristics solves the multirate model efficiently, since the system of partial differential algebraic equations exhibits a hyperbolic structure.
Publications
- 1991
318.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
The X21 → X10+ electronic band systems of bismuth monohalides in the near infrared
Chemical Physics Letters, 179 (1-2) :95-102
1991317.
Bunker, Philip R.; Jensen, Per; Karpfen, Alfred
The ν1 + ν2 = 4 stretching overtones of the HF dimer, and H-atom exchange
Journal of Molecular Spectroscopy, 149 (2) :512-518
1991316.
Jensen, Per; Paidarov{{\'a}}, Ivana; Vojt{í}k, Jan; Spirko, Vladim{í}r
Theoretical calculations of the nuclear quadrupole coupling in the spectra of D\(_{3}\)\(^{+}\), H\(_{2}\)D\(^{+}\), and HD\(_{2}\)\(^{+}\)
Journal of Molecular Spectroscopy, 150 (1) :137-163
1991315.
Jensen, Per; Paidarov{{\'a}}, Ivana; Vojt{í}k, Jan; Spirko, Vladim{í}r
Theoretical calculations of the nuclear quadrupole coupling in the spectra of D\(_{3}\)\(^{+}\), H\(_{2}\)D\(^{+}\), and HD\(_{2}\)\(^{+}\)
Journal of Molecular Spectroscopy, 150 (1) :137-163
1991314.
Jensen, Per; Paidarová, Ivana; Vojtík, Jan; Spirko, Vladimír
Theoretical calculations of the nuclear quadrupole coupling in the spectra of D3+, H2D+, and HD2+
Journal of Molecular Spectroscopy, 150 (1) :137-163
1991313.
[german] Tausch, Michael W.; Mundt, C.; Kehlenbeck, V.
Vollständige Mineralisierung von Perchlorethylen PER
Praxis der Naturwissenschaften (Chemie), 40 :28
1991- 1990
312.
Tausch, Michael W.; Kühn, S.
''Chemische Gleichgewichte - Elektrochemie'' - Diskette mit Programmen zu STOFF UND FORMEL II, Lehrbuch für die S II (Grundkurse)
Publisher: C. C. Buchner, Bamberg
1990311.
Bunker, Philip R.; Jensen, Per; Wright, J. S.; Hamilton, I. P.
Ab initio rotation-vibration energies and intensities for the H\(_{2}\)F\(^{+}\) molecule
Journal of Molecular Spectroscopy, 144 (2) :310-322
1990310.
Bunker, Philip R.; Jensen, Per; Wright, J. S.; Hamilton, I. P.
Ab initio rotation-vibration energies and intensities for the H\(_{2}\)F\(^{+}\) molecule
Journal of Molecular Spectroscopy, 144 (2) :310-322
1990309.
Bunker, Philip R.; Jensen, Per; Wright, J. S.; Hamilton, I. P.
Ab initio rotation-vibration energies and intensities for the H2F+ molecule
Journal of Molecular Spectroscopy, 144 (2) :310-322
1990308.
Jensen, Per; Bunker, Philip R.; Karpfen, Alfred; Kofranek, Manfred; Lischka, Hans
An ab initio calculation of the intramolecular stretching spectra for the HF dimer and its D-substituted isotopic species
The Journal of Chemical Physics, 93 (9) :6266-6280
1990307.
Jensen, Per; Bunker, Philip R.; Karpfen, Alfred; Kofranek, Manfred; Lischka, Hans
An ab initio calculation of the intramolecular stretching spectra for the HF dimer and its D-substituted isotopic species
The Journal of Chemical Physics, 93 (9) :6266-6280
1990306.
Jensen, Per; Bunker, Philip R.; Karpfen, Alfred; Kofranek, Manfred; Lischka, Hans
An ab initio calculation of the intramolecular stretching spectra for the HF dimer and its D-substituted isotopic species
The Journal of Chemical Physics, 93 (9) :6266-6280
1990305.
Jensen, Per; Buenker, Robert J.; Hirsch, Gerhard; Rai, Sachchida N.
An ab initio calculation of the rotational-vibrational energies in the electronic ground state of NH\(_{2}\)
Molecular Physics, 70 (3) :443-454
1990304.
Jensen, Per; Buenker, Robert J.; Hirsch, Gerhard; Rai, Sachchida N.
An ab initio calculation of the rotational-vibrational energies in the electronic ground state of NH\(_{2}\)
Molecular Physics, 70 (3) :443-454
1990303.
Jensen, Per; Buenker, Robert J.; Hirsch, Gerhard; Rai, Sachchida N.
An ab initio calculation of the rotational-vibrational energies in the electronic ground state of NH2
Molecular Physics, 70 (3) :443-454
1990302.
Bunker, Philip R.; Jensen, Per; Karpfen, Alfred; Kofranek, Manfred; Lischka, Hans
An ab initio calculation of the stretching energies for the HF dimer
The Journal of Chemical Physics, 92 (12) :7432-7440
1990301.
Bunker, Philip R.; Jensen, Per; Karpfen, Alfred; Kofranek, Manfred; Lischka, Hans
An ab initio calculation of the stretching energies for the HF dimer
The Journal of Chemical Physics, 92 (12) :7432-7440
1990300.
Bunker, Philip R.; Jensen, Per; Karpfen, Alfred; Kofranek, Manfred; Lischka, Hans
An ab initio calculation of the stretching energies for the HF dimer
The Journal of Chemical Physics, 92 (12) :7432-7440
1990299.
Heilmann, Margareta; Müller, Manfred
Direct and converse results on simultaneous approximation by the method of Bernstein-Durrmeyer operators
Algorithms for approximation II, Proc. 2nd Int. Conf., Shrivenham/UK 1988, Page 107-116
1990298.
Fink, Ewald H.; Kruse, H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
High resolution Fourier-transform spectra of the a\(^{1}\)\(\Delta\)\(_{g}\) → X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\), b\(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) → X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\) and X\(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) → a\(^{1}\)\(\Delta\)\(_{g}\) systems of O\(_{2}\), SO, S\(_{2}\) and isoe
Acta Physica Hungarica, 67 (1-2) :67-72
1990297.
Fink, Ewald H.; Kruse, H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
High resolution Fourier-transform spectra of the a\(^{1}\)\(\Delta\)\(_{g}\) → X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\), b\(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) → X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\) and X\(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) → a\(^{1}\)\(\Delta\)\(_{g}\) systems of O\(_{2}\), SO, S\(_{2}\) and isoe
Acta Physica Hungarica, 67 (1-2) :67-72
1990296.
Fink, Ewald H.; Kruse, H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
High resolution Fourier-transform spectra of the a1Δg → X3Σg-, b1Σg+ → X3Σg- and X1Σg+ → a1Δg systems of O2, SO, S2 and isoe
Acta Physica Hungarica, 67 (1-2) :67-72
1990295.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.; Brown, John M.
High-resolution study of the A 1-X 0\(^{+}\) emission system of bismuth hydride
Journal of Molecular Spectroscopy, 142 (1) :108-116
1990294.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.; Brown, John M.
High-resolution study of the A 1-X 0\(^{+}\) emission system of bismuth hydride
Journal of Molecular Spectroscopy, 142 (1) :108-116
1990
