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
- 1989
278.
Tausch, Michael W.; Wöhrle, D.
Katalytische Wasserphotolyse
Praxis der Naturwissenschaften (Chemie), 38 :46
1989277.
Tausch, Michael W.
Kritische Überlegungen zur Teilchenzahl als eigenständige Größe im Größenkalkül
Der mathematische und naturwissenschaftliche Unterricht (MNU), 42 :438
1989276.
Tausch, Michael W.; Wachtendonk, M.
Lehrerband mit didaktischen Hinweisen und Lösungen der Aufgaben zu STOFF-FORMEL-UMWELT, BAND 1: CHEMISCHE GLEICHGEWICHTE - ELEKTROCHEMIE, Lehrbuch für die S II (Grund- und Leistungskurse), 172 Seiten
Herausgeber: C. C. Buchner, Bamberg
1989275.
Bauer, W.; Engelhardt, B.; Wiesen, Peter; Becker, Karl Heinz
Lifetime measurements of GeH and CH in the A\(^{2}\)\(\Delta\), v'=0 state by laser-induced fluorescence
Chemical Physics Letters, 158 (3-4) :321-324
1989274.
Bauer, W.; Engelhardt, B.; Wiesen, Peter; Becker, Karl Heinz
Lifetime measurements of GeH and CH in the A\(^{2}\)\(\Delta\), v'=0 state by laser-induced fluorescence
Chemical Physics Letters, 158 (3-4) :321-324
1989273.
Bauer, W.; Engelhardt, B.; Wiesen, Peter; Becker, Karl Heinz
Lifetime measurements of GeH and CH in the A2Δ, v'=0 state by laser-induced fluorescence
Chemical Physics Letters, 158 (3-4) :321-324
1989272.
Becker, Karl Heinz; Wiesen, Peter
Measurements on the CH*(A\(^{2}\)\(\Delta\) → X\(^{2}\)\(\Pi\)) Chemiluminescence in the C\(_{2}\)H\(_{2}\) + O Flame and Quenching Rate Constants for Different Reactants at 297 K
Zeitschrift für Physikalische Chemie, 161 (Part_1_2) :131-144
1989271.
Becker, Karl Heinz; Wiesen, Peter
Measurements on the CH*(A\(^{2}\)\(\Delta\) → X\(^{2}\)\(\Pi\)) Chemiluminescence in the C\(_{2}\)H\(_{2}\) + O Flame and Quenching Rate Constants for Different Reactants at 297 K
Zeitschrift für Physikalische Chemie, 161 (Part_1_2) :131-144
1989270.
Becker, Karl Heinz; Wiesen, Peter
Measurements on the CH*(A2Δ → X2Π) Chemiluminescence in the C2H2 + O Flame and Quenching Rate Constants for Different Reactants at 297 K
Zeitschrift für Physikalische Chemie, 161 (Part_1_2) :131-144
1989269.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
Near-infrared emission bands of TeH and TeD
Journal of Molecular Spectroscopy, 138 (1) :19-28
1989268.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
Near-infrared emission bands of TeH and TeD
Journal of Molecular Spectroscopy, 138 (1) :19-28
1989267.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
Near-infrared emission bands of TeH and TeD
Journal of Molecular Spectroscopy, 138 (1) :19-28
1989266.
Heilmann, Margareta
On simultaneous approximation by optimal algebraic polynomials
Results in Mathematics, 16 (1-2) :77-81
1989265.
Heilmann, Margareta; Müller, Manfred
On simultaneous approximation by the method of Baskakov-Durrmeyer operators
Numerical Functional Analysis and Optimization, 10 (1-2) :127-138
1989264.
[german] Tausch, Michael W.; Wöhrle, D.
Photokatalyse
Praxis der Naturwissenschaften (Chemie), 38 :37
1989263.
Becker, Karl Heinz; Engelhardt, B.; Wiesen, Peter; Bayes, Kyle D.
Rate constants for CH(X\(^{2}\)\(\Pi\)) reactions at low total pressures
Chemical Physics Letters, 154 (4) :342-348
1989262.
Becker, Karl Heinz; Engelhardt, B.; Wiesen, Peter; Bayes, Kyle D.
Rate constants for CH(X\(^{2}\)\(\Pi\)) reactions at low total pressures
Chemical Physics Letters, 154 (4) :342-348
1989261.
Becker, Karl Heinz; Engelhardt, B.; Wiesen, Peter; Bayes, Kyle D.
Rate constants for CH(X2Π) reactions at low total pressures
Chemical Physics Letters, 154 (4) :342-348
1989260.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.; Xu, G. Z.
Rotational analysis of the 0-0 band of the b0\(^{+}\) → X\(_{1}\)0\(^{+}\) system of \(^{130}\)Te\(^{80}\)Se
Journal of Molecular Spectroscopy, 136 (1) :218-221
1989259.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.; Xu, G. Z.
Rotational analysis of the 0-0 band of the b0\(^{+}\) → X\(_{1}\)0\(^{+}\) system of \(^{130}\)Te\(^{80}\)Se
Journal of Molecular Spectroscopy, 136 (1) :218-221
1989258.
Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.; Xu, G. Z.
Rotational analysis of the 0-0 band of the b0+ → X10+ system of 130Te80Se
Journal of Molecular Spectroscopy, 136 (1) :218-221
1989257.
Tausch, Michael W.; Wachtendonk, M.
STOFF-FORMEL-UMWELT, BAND 1: CHEMISCHE GLEICHGEWICHTE - ELEKTROCHEMIE, Lehrbuch für die S II (Grund- und Leistungskurse), 172 Seiten
Herausgeber: C. C. Buchner, Bamberg
1989256.
Wildt, J{ü}rgen; Fink, Ewald H.; Biggs, P.; Wayne, Richard P.
The collision-induced radiation of O\(_{2}\)(a\(^{1}\)\(\Delta\)\(_{g}\))
Chemical Physics, 139 (2-3) :401-407
1989255.
Wildt, J{ü}rgen; Fink, Ewald H.; Biggs, P.; Wayne, Richard P.
The collision-induced radiation of O\(_{2}\)(a\(^{1}\)\(\Delta\)\(_{g}\))
Chemical Physics, 139 (2-3) :401-407
1989254.
Wildt, Jürgen; Fink, Ewald H.; Biggs, P.; Wayne, Richard P.
The collision-induced radiation of O2(a1Δg)
Chemical Physics, 139 (2-3) :401-407
1989
