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
- 1999
860.
Discrete transparent boundary conditions for general Schrödinger-type equations
Computer Physics Communications, 121 (4) :598--598
1999
Herausgeber: Hindawi859.
[german] Tausch, Michael W.; Grolmuss, A.
Ein low-cost Selbstbau-Spektroskop
Praxis der Naturwissenschaften (Chemie), 48 (7) :36
1999858.
Zwart, Hans; Jacob, Birgit
Equivalent conditions for stabilizability of infinite-dimensional systems with admissible control operators
SIAM J. Control Optim., 37 (5) :1419--1455
1999857.
Chudej, Kurt; Günther, Michael
Global state space approach for the efficient numerical solution of state-constrained trajectory optimization problems
Journal of optimization theory and applications, 103 :75--93
1999
Herausgeber: Kluwer Academic Publishers-Plenum Publishers856.
Kleffmann, Jörg; Becker, Karl Heinz; Lackhoff, Marion; Wiesen, Peter
Heterogeneous conversion of NO\(_{2}\) on carbonaceous surfaces
Physical Chemistry Chemical Physics, 1 (24) :5443-5450
1999
Herausgeber: The Royal Society of Chemistry855.
Kleffmann, Jörg; Becker, Karl Heinz; Lackhoff, Marion; Wiesen, Peter
Heterogeneous conversion of NO\(_{2}\) on carbonaceous surfaces
Physical Chemistry Chemical Physics, 1 (24) :5443-5450
1999
Herausgeber: The Royal Society of Chemistry854.
Kleffmann, Jörg; Becker, Karl Heinz; Lackhoff, Marion; Wiesen, Peter
Heterogeneous conversion of NO2 on carbonaceous surfaces
Physical Chemistry Chemical Physics, 1 (24) :5443-5450
1999
Herausgeber: The Royal Society of Chemistry853.
Setzer, Klaus-Dieter; Fink, Ewald H.; Ramsay, D. A.
High-Resolution Fourier-Transform Study of the b\(^{1}\)\(\Sigma\)\(^{+}\) → X\(^{3}\)\(\Sigma\)\(^{-}\) and a\(^{1}\)\(\Delta\) → X\(^{3}\)\(\Sigma\)\(^{-}\) Transitions of SO
Journal of Molecular Spectroscopy, 198 (1) :163-174
1999
Herausgeber: Academic Press852.
Setzer, Klaus-Dieter; Fink, Ewald H.; Ramsay, D. A.
High-Resolution Fourier-Transform Study of the b\(^{1}\)\(\Sigma\)\(^{+}\) → X\(^{3}\)\(\Sigma\)\(^{-}\) and a\(^{1}\)\(\Delta\) → X\(^{3}\)\(\Sigma\)\(^{-}\) Transitions of SO
Journal of Molecular Spectroscopy, 198 (1) :163-174
1999
Herausgeber: Academic Press851.
Setzer, Klaus-Dieter; Fink, Ewald H.; Ramsay, D. A.
High-Resolution Fourier-Transform Study of the b1Σ+ → X3Σ- and a1Δ → X3Σ- Transitions of SO
Journal of Molecular Spectroscopy, 198 (1) :163-174
1999
Herausgeber: Academic Press850.
Gänsheimer, S; Schilling, A
Improved staging of prostate cancer using a new tumorscore
Aktuelle Urologie, 30 (1) :20--26
1999
Herausgeber: GEORG THIEME VERLAG KG RUDIGERSTR 14, D-70469 STUTTGART, GERMANY849.
Becker, Karl Heinz; Geiger, Harald; Schmidt, Frank; Wiesen, Peter
Kinetic investigation of NCO radicals reacting with selected hydrocarbons
Physical Chemistry Chemical Physics, 1 (23) :5305-5309
1999848.
Becker, Karl Heinz; Geiger, Harald; Schmidt, Frank; Wiesen, Peter
Kinetic investigation of NCO radicals reacting with selected hydrocarbons
Physical Chemistry Chemical Physics, 1 (23) :5305-5309
1999847.
Becker, Karl Heinz; Geiger, Harald; Schmidt, Frank; Wiesen, Peter
Kinetic investigation of NCO radicals reacting with selected hydrocarbons
Physical Chemistry Chemical Physics, 1 (23) :5305-5309
1999846.
Becker, Karl Heinz; Dinis, Carlos M.; Geiger, Harald; Wiesen, Peter
Kinetics of the reaction of OH with di-n-butoxymethane (DBM) in the range 298-710 K
Chemical Physics Letters, 300 (3-4) :460-464
1999845.
Becker, Karl Heinz; Dinis, Carlos M.; Geiger, Harald; Wiesen, Peter
Kinetics of the reaction of OH with di-n-butoxymethane (DBM) in the range 298-710 K
Chemical Physics Letters, 300 (3-4) :460-464
1999844.
Becker, Karl Heinz; Dinis, Carlos M.; Geiger, Harald; Wiesen, Peter
Kinetics of the reaction of OH with di-n-butoxymethane (DBM) in the range 298-710 K
Chemical Physics Letters, 300 (3-4) :460-464
1999843.
Foster, Krishna L.; Lakin, M. J.; Caldwell, Tracy E.; Hemminger, John C.; Benter, Thorsten; Finlayson-Pitts, Barbara J.
Laboratory studies of model sea-salt aerosols with HOCl.
Abstracts of Papers of The Americal Chemical Society, 217 (1) :U109
1999842.
Foster, Krishna L.; Lakin, M. J.; Caldwell, Tracy E.; Hemminger, John C.; Benter, Thorsten; Finlayson-Pitts, Barbara J.
Laboratory studies of model sea-salt aerosols with HOCl.
Abstracts of Papers of The Americal Chemical Society, 217 (1) :U109
1999841.
Foster, Krishna L.; Lakin, M. J.; Caldwell, Tracy E.; Hemminger, John C.; Benter, Thorsten; Finlayson-Pitts, Barbara J.
Laboratory studies of model sea-salt aerosols with HOCl.
Abstracts of Papers of The Americal Chemical Society, 217 (1) :U109
1999840.
Korn, S.; Eisel, C.; Schmitz, R.-P.; Tausch, Michael W.
Licht - die vergessene Energieform oder chemische Licht - Spiele in 6 Akten'', Multimedia CD mit Materialien für den Unterricht
Online
1999839.
Jacob, Birgit
Linear quadratic optimal control of time-varying systems with indefinite costs on Hilbert spaces
Math. Control Signals Systems, 12 (2) :196--218
1999838.
[english] Eisel, Christian; Tausch, Michael W.
Molecular hydrogen from hydrochloric acid and copper under UV light irradiation
Journal of Photochemistry and Photobiology A: Chemistry, 128 (1-3) :151--154
1999
Herausgeber: Elsevier {BV}837.
Becker, Karl Heinz; L{ö}rzer, Jutta C.; Kurtenbach, Ralf; Wiesen, Peter; Jensen, T. E.; Wallington, T. J.
Nitrous oxide (N\(_{2}\)O) emissions from vehicles
Environmental Science and Technology, 33 (22) :4134-4139
1999836.
Becker, Karl Heinz; L{ö}rzer, Jutta C.; Kurtenbach, Ralf; Wiesen, Peter; Jensen, T. E.; Wallington, T. J.
Nitrous oxide (N\(_{2}\)O) emissions from vehicles
Environmental Science and Technology, 33 (22) :4134-4139
1999
