Index Analysis
DAEs are no ODEs. Actually, Differential agebraic equations (DAEs) are a mixture of ordinary differential equations (ODEs) and algebraic relations. This may create difficulties, which are not seen at the first sight. The analysis shows that due this mixture hidden differentiation might occur. Recalling from analysis that differentiation is not an unbounded operator, such a process is much more difficult to handle than the integrals used for solving ODEs. E.g. imagine a sinosoidal signal of small amplitude but with high frequency, such as a numerical error, the derivative is of much larger magnitude.
Clearly, the more derivatives involved in the exact solution of a DAE, the more one needs to be careful in numerical computations. The index is a measure for this difficutly. That is why it is important to know the index before simulation.
Group members working on that field
- Andreas Bartel
- Michael Günther
Cooperations
- Giuseppe Ali (Academia)
- Sascha Baumanns (Academia)
- Caren Tischendorf (Academia)
Publications
- 1983
92.
Winter, R.; Kruse, H.; Fink, Ewald H.; Wildt, Jürgen
b1Σ+ Emissions from group V-VII diatomic molecules: b0+ → X10+ emission of Pl
Chemical Physics Letters, 102 (5) :404-408
198391.
Tausch, Michael W.
Chemische Solarenergiespeicherung in Valenzisomeren
Praxis der Naturwissenschaften (Chemie), 32 :79
198390.
Tausch, Michael W.
DER UV-TAUCHLAMPENREAKTOR FÜR PHOTOCHEMISCHE SCHULVERSUCHE, Monographie mit Versuchsanleitungen und didaktischen Hinweisen
Herausgeber: SCS Jürgens\&Co KG, Bremen
198389.
Jensen, Per
HCNO as a semirigid bender: The degenerate \(\nu\)\(_{4}\) state
Journal of Molecular Spectroscopy, 101 (2) :422-439
198388.
Jensen, Per
HCNO as a semirigid bender: The degenerate \(\nu\)\(_{4}\) state
Journal of Molecular Spectroscopy, 101 (2) :422-439
198387.
Jensen, Per
HCNO as a semirigid bender: The degenerate ν4 state
Journal of Molecular Spectroscopy, 101 (2) :422-439
198386.
Holstein, K. J.; Fink, Ewald H.; Wildt, J{ü}rgen; Winter, R.; Zabel, Friedhelm
Mechanisms of perhydroxyl HO\(_{2}\)(A\(^{2}\)A') excitation in various chemical systems
The Journal of Physical Chemistry, 87 (20) :3943-3948
198385.
Holstein, K. J.; Fink, Ewald H.; Wildt, J{ü}rgen; Winter, R.; Zabel, Friedhelm
Mechanisms of perhydroxyl HO\(_{2}\)(A\(^{2}\)A') excitation in various chemical systems
The Journal of Physical Chemistry, 87 (20) :3943-3948
198384.
Holstein, K. J.; Fink, Ewald H.; Wildt, Jürgen; Winter, R.; Zabel, Friedhelm
Mechanisms of perhydroxyl HO2(A2A') excitation in various chemical systems
The Journal of Physical Chemistry, 87 (20) :3943-3948
198383.
Wildt, J{ü}rgen; Fink, Ewald H.; Winter, R.; Zabel, Friedhelm
Radiative lifetime and quenching of SO(b\(^{1}\)\(\Sigma\)\(^{+}\),\(\nu\)'=0)
Chemical Physics, 80 (1-2) :167-175
198382.
Wildt, J{ü}rgen; Fink, Ewald H.; Winter, R.; Zabel, Friedhelm
Radiative lifetime and quenching of SO(b\(^{1}\)\(\Sigma\)\(^{+}\),\(\nu\)'=0)
Chemical Physics, 80 (1-2) :167-175
198381.
Wildt, Jürgen; Fink, Ewald H.; Winter, R.; Zabel, Friedhelm
Radiative lifetime and quenching of SO(b1Σ+,ν'=0)
Chemical Physics, 80 (1-2) :167-175
198380.
Wildt, J{ü}rgen; Bielefeld, M.; Fink, Ewald H.; Winter, R.; Zabel, Friedhelm
Radiative livetimes of the metastable b\(^{1}\)\(\Sigma\) states of SO, SeO, PCl and PBr
Bulletin des Sociétés Chimiques Belges, 92 (6-7) :523-524
198379.
Wildt, J{ü}rgen; Bielefeld, M.; Fink, Ewald H.; Winter, R.; Zabel, Friedhelm
Radiative livetimes of the metastable b\(^{1}\)\(\Sigma\) states of SO, SeO, PCl and PBr
Bulletin des Sociétés Chimiques Belges, 92 (6-7) :523-524
198378.
Wildt, Jürgen; Bielefeld, M.; Fink, Ewald H.; Winter, R.; Zabel, Friedhelm
Radiative livetimes of the metastable b1Σ states of SO, SeO, PCl and PBr
Bulletin des Sociétés Chimiques Belges, 92 (6-7) :523-524
198377.
[german] Tausch, Michael W.
Strukturaufklärung in der organischen Chemie - Ermittlung der Strukturformeln von Maleinsäure und Fumarsäure
Praxis der Naturwissenschaften (Chemie), 32 :44
198376.
Holstein, K. J.; Fink, Ewald H.; Zabel, Friedhelm
The \(\nu\)\(_{3}\) vibration of electronically excited HO\(_{2}\)(A\(^{2}\)A')
Journal of Molecular Spectroscopy, 99 (1) :231-234
198375.
Holstein, K. J.; Fink, Ewald H.; Zabel, Friedhelm
The \(\nu\)\(_{3}\) vibration of electronically excited HO\(_{2}\)(A\(^{2}\)A')
Journal of Molecular Spectroscopy, 99 (1) :231-234
198374.
Jensen, Per; Bunker, Philip R.
The application of the nonrigid bender Hamiltonian to a quasilinear molecule
Journal of Molecular Spectroscopy, 99 (2) :348-356
198373.
Jensen, Per; Bunker, Philip R.
The application of the nonrigid bender Hamiltonian to a quasilinear molecule
Journal of Molecular Spectroscopy, 99 (2) :348-356
198372.
Jensen, Per; Bunker, Philip R.
The application of the nonrigid bender Hamiltonian to a quasilinear molecule
Journal of Molecular Spectroscopy, 99 (2) :348-356
198371.
Winnewisser, Brenda P.; Jensen, Per
The infrared spectrum of fulminic acid, HCNO, in the \(\nu\)\(_{4}\) fundamental region
Journal of Molecular Spectroscopy, 101 (2) :408-421
198370.
Winnewisser, Brenda P.; Jensen, Per
The infrared spectrum of fulminic acid, HCNO, in the \(\nu\)\(_{4}\) fundamental region
Journal of Molecular Spectroscopy, 101 (2) :408-421
198369.
Winnewisser, Brenda P.; Jensen, Per
The infrared spectrum of fulminic acid, HCNO, in the ν4 fundamental region
Journal of Molecular Spectroscopy, 101 (2) :408-421
198368.
Jensen, Per
The nonrigid bender Hamiltonian for calculating the rotation-vibration energy levels of a triatomic molecule
Computer Physics Reports, 1 (1) :1-55
1983
