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
- 2005
1428.
Kirsch, Stefan F.
IBX-Mediated α-Hydroxylation of α-Alkynyl Carbonyl Systems. A Convenient Method for the Synthesis of Tertiary Alcohols
The Journal of Organic Chemistry, 70 (24) :10210–10212
2005
ISSN: 0022-32631427.
Hak, Claudia; Pundt, I.; Trick, Sebastian; Kern, C.; Platt, Ulrich; Dommen, J.; Ord{{\'o}}{{\~n}}ez, C.; Pr{é}v{{\^o}}t, Andre S. H.; Junkermann, W.; Astorga-Llor{é}ns, C.; Larsen, B. R.; Mellqvist, J.; Strandberg, A.; Yu, Y.; Galle, B.; Kleffmann, Jörg; L{ö}rzer, Jutta C.; Braathen, G. O.; Volkamer, R.
Intercomparison of four different in-situ techniques for ambient formaldehyde measurements in urban air
Atmospheric Chemistry and Physics, 5 (11) :2881-2900
20051426.
Hak, Claudia; Pundt, I.; Trick, Sebastian; Kern, C.; Platt, Ulrich; Dommen, J.; Ordóñez, C.; Prévôt, Andre S. H.; Junkermann, W.; Astorga-Lloréns, C.; Larsen, B. R.; Mellqvist, J.; Strandberg, A.; Yu, Y.; Galle, B.; Kleffmann, Jörg; Lörzer, Jutta C.; Braathen, G. O.; Volkamer, R.
Intercomparison of four different in-situ techniques for ambient formaldehyde measurements in urban air
Atmospheric Chemistry and Physics, 5 (11) :2881-2900
20051425.
Hak, Claudia; Pundt, I.; Trick, Sebastian; Kern, C.; Platt, Ulrich; Dommen, J.; Ord{{\'o}}{{\~n}}ez, C.; Pr{é}v{{\^o}}t, Andre S. H.; Junkermann, W.; Astorga-Llor{é}ns, C.; Larsen, B. R.; Mellqvist, J.; Strandberg, A.; Yu, Y.; Galle, B.; Kleffmann, Jörg; L{ö}rzer, Jutta C.; Braathen, G. O.; Volkamer, R.
Intercomparison of four different in-situ techniques for ambient formaldehyde measurements in urban air
Atmospheric Chemistry and Physics, 5 (11) :2881-2900
20051424.
Huang, Simin; Batta, Rajan; Klamroth, Kathrin; Nagi, Rakesh
K-connection location problem in a plane
Annals of Operations Research, 136 :193-209
20051423.
Solignac, G.; Mellouki, Abdelwahid; Le Bras, G.; Barnes, Ian; Benter, Thorsten
Kinetics of the OH and Cl reactions with N-methylformamide, N,N-dimethylformamide and N,N-dimethylacetamide
Journal of Photochemistry and Photobiology A: Chemistry, 176 (1-3) :136-142
20051422.
Solignac, G.; Mellouki, Abdelwahid; Le Bras, G.; Barnes, Ian; Benter, Thorsten
Kinetics of the OH and Cl reactions with N-methylformamide, N,N-dimethylformamide and N,N-dimethylacetamide
Journal of Photochemistry and Photobiology A: Chemistry, 176 (1-3) :136-142
20051421.
Solignac, G.; Mellouki, Abdelwahid; Le Bras, G.; Barnes, Ian; Benter, Thorsten
Kinetics of the OH and Cl reactions with N-methylformamide, N,N-dimethylformamide and N,N-dimethylacetamide
Journal of Photochemistry and Photobiology A: Chemistry, 176 (1-3) :136-142
20051420.
Solignac, G.; Mellouki, Abdelwahid; Le Bras, G.; Barnes, Ian; Benter, Thorsten
Kinetics of the OH and Cl reactions with N-methylformamide, N,N-dimethylformamide and N,N-dimethylacetamide
Journal of Photochemistry and Photobiology A: Chemistry, 176 (1-3) :136-142
20051419.
G\"unther, Michael; Feldmann, U.; Maten, E.J.W.
Modeling and discretization of circuit problems
In W.H.A. Schilders and E.J.W. ter Maten, Editor, Handbook of Numerical Analysis. Special Volume Numerical Analysis of Electromagnetism
Seite 523--659
Herausgeber: Elsevier North Holland, Amsterdam
2005
523--6591418.
Günther, Michael; Feldmann, Uwe; Maten, E.J.W.
Modeling and discretization of circuit problems
In Schilders, W.H.A. and ter Maten, E.J.W., Editor, Numerical Methods in Electromagnetics Band 13 aus Handbook of Numerical Analysis
Seite 523–659
Herausgeber: Elsevier
2005
523–6591417.
Günther, Michael; Feldmann, Uwe; Maten, E.J.W.
Modeling and discretization of circuit problems
In Schilders, W.H.A. and ter Maten, E.J.W., Editor, Numerical Methods in Electromagnetics Band 13 aus Handbook of Numerical Analysis
Seite 523–659
Herausgeber: Elsevier
2005
523–6591416.
Günther, Michael; Feldmann, Uwe; Maten, Jan
Modelling and discretization of circuit problems
Handbook of numerical analysis, 13 :523--659
2005
Herausgeber: Elsevier1415.
Emmerich, Cathrin; Günther, Michael; Nelles, Michael
Modelling and simulation of rain derivatives
MS thesis, University of Wuppertal, Wuppertal, Germany
20051414.
Pulch, R.
Multi time scale differential equations for simulating frequency modulated signals
Applied Numerical Mathematics, 53 (2) :421–436
2005
Herausgeber: Elsevier1413.
Sch{ä}fer, Klaus; Brockmann, Klaus Josef; Heland, J{ö}rg; Wiesen, Peter; Jahn, Carsten; Legras, Olivier
Multipass open-path Fourier-transform infrared measurements for nonintrusive monitoring of gas turbine exhaust composition
Applied Optics, 44 (11) :2189-2201
20051412.
Sch{ä}fer, Klaus; Brockmann, Klaus Josef; Heland, J{ö}rg; Wiesen, Peter; Jahn, Carsten; Legras, Olivier
Multipass open-path Fourier-transform infrared measurements for nonintrusive monitoring of gas turbine exhaust composition
Applied Optics, 44 (11) :2189-2201
20051411.
Schäfer, Klaus; Brockmann, Klaus Josef; Heland, Jörg; Wiesen, Peter; Jahn, Carsten; Legras, Olivier
Multipass open-path Fourier-transform infrared measurements for nonintrusive monitoring of gas turbine exhaust composition
Applied Optics, 44 (11) :2189-2201
20051410.
Petrea, Monica; Kurtenbach, Ralf; Wiesen, Peter; Vogt, Ulrich; Baumbach, G{ü}nter
NMHC measurements of motorway emissions during the BAB II field campaign
Atmospheric Environment, 39 (31 SPEC. ISS.) :5685-5695
2005
Herausgeber: Pergamon1409.
Petrea, Monica; Kurtenbach, Ralf; Wiesen, Peter; Vogt, Ulrich; Baumbach, G{ü}nter
NMHC measurements of motorway emissions during the BAB II field campaign
Atmospheric Environment, 39 (31 SPEC. ISS.) :5685-5695
2005
Herausgeber: Pergamon1408.
Petrea, Monica; Kurtenbach, Ralf; Wiesen, Peter; Vogt, Ulrich; Baumbach, Günter
NMHC measurements of motorway emissions during the BAB II field campaign
Atmospheric Environment, 39 (31 SPEC. ISS.) :5685-5695
2005
Herausgeber: Pergamon1407.
Kling, H.-W.
Onlineanalytik: schnell, zuverlässig, fehlerfrei
Cognis Nachhaltigkeitsbericht 2005 :24--25
20051406.
Reuss, H.-C.; Diesner, S.; Marquardt, D.; Klamroth, Kathrin
Optimisation of an alternative approach to power electronic structures in passenger vehicles
In Bargende, M. and Reuss, H.-C. and Wiedemann, J., Editor, 6. Stuttgarter Symposium Kraftfahrwesen und Verbrennungsmotoren
In Bargende, M. and Reuss, H.-C. and Wiedemann, J., Editor
Herausgeber: Expert Verlag
20051405.
Schellenträger, M.; Constapel, M.; Gäb, S.; Marzinkowski, J. M.
Oxidativer Abbau von Reaktivfarbstoffen - chemische Analyse der Abbauprodukte.
Melliand International Textile Reports, 86 :E121-E124
20051404.
Ali, G.; Bartel, A.; G\"unther, Michael
Parabolic differential-algebraic models in electric network design
SIAM J. MMS, 4/3 :813--838
2005
