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
- 2019
4166.
Lübke, Steffen
Anreicherung der Pyrolyseprodukte von Mikroplastik auf Carbotrap{\circledR} 300 und Analytik mittels GCxGC/MS
20194165.
Kruse, Thomas; Urusov, Mikhail
Approximating exit times of continuous Markov processes
arXiv preprint arXiv:1904.04344
20194164.
Stiglmayr, Michael; Görtz, Simon; Klamroth, Kathrin
Assigning Students to Schools for an Internship
In Fortz B. and Labbé M., Editor, Operations Research Proceedings 2018, Seite 151-157
In Fortz B. and Labbé M., Editor
Herausgeber: Springer, Cham
20194163.
Glück, Jochen; Haase, Markus
Asymptotics of operator semigroups via the semigroup at infinity
Positivity and noncommutative analysis aus Trends Math.
Seite 167--203
Herausgeber: Birkhäuser/Springer, Cham
2019
167--2034162.
Sezer, Ali Devin; Kruse, Thomas; Popier, Alexandre
Backward stochastic differential equations with non-Markovian singular terminal values
Stochastics and Dynamics, 19 (02) :1950006
2019
Herausgeber: World Scientific4161.
Sezer, Ali Devin; Kruse, Thomas; Popier, Alexandre
Backward stochastic differential equations with non-Markovian singular terminal values
Stochastics and Dynamics, 19 (02) :1950006
2019
Herausgeber: World Scientific Publishing4160.
Zaspel, Peter; Huang, Bing; Harbrecht, Helmut; Lilienfeld, O. Anatole
Boosting Quantum Machine Learning Models with a Multilevel Combination Technique: Pople Diagrams Revisited
J. Chem. Theory Comput., 15 (3) :1546-1559
20194159.
Bohrmann-Linde, Claudia; Kleefeldt, Simon
Can You See the Heat? - Using a Thermal Imaging Camera in the Chemistry Classroom
World Journal of Chemical Education, 7 (2) :179-184
20194158.
Rivela, Cynthia B.; Tovar, Carmen M.; Teruel, Mariano A.; Barnes, Ian; Wiesen, Peter; Blanco, María B.
CFCs replacements: Reactivity and atmospheric lifetimes of a series of Hydrofluoroolefins towards OH radicals and Cl atoms
Chemical Physics Letters, 714 :190-196
2019
Herausgeber: North-Holland4157.
Rivela, Cynthia B.; Tovar, Carmen M.; Teruel, Mariano A.; Barnes, Ian; Wiesen, Peter; Blanco, Mar{í}a B.
CFCs replacements: Reactivity and atmospheric lifetimes of a series of Hydrofluoroolefins towards OH radicals and Cl atoms
Chemical Physics Letters, 714 :190-196
2019
Herausgeber: North-Holland4156.
Rivela, Cynthia B.; Tovar, Carmen M.; Teruel, Mariano A.; Barnes, Ian; Wiesen, Peter; Blanco, Mar{í}a B.
CFCs replacements: Reactivity and atmospheric lifetimes of a series of Hydrofluoroolefins towards OH radicals and Cl atoms
Chemical Physics Letters, 714 :190-196
2019
Herausgeber: North-Holland4155.
Bohrmann-Linde, Claudia; Kröger, Simone; Siehr, Ilona
Chemie 1 - Gymnasium G9 NRW
Herausgeber: C.C.Buchner
20194154.
Tausch, Michael W.; Meuter, Nico
Chemie mit Licht4153.
Bock, Stefan; Klamroth, Kathrin
Combining Traveling Salesman and Traveling Repairman Problems: A multi-objective approach based on multiple scenarios
Computers and Operations Research, 112 :104766
20194152.
Treibert, Sarah; Brunner, Helmut; Ehrhardt, Matthias
Compartment models for vaccine effectiveness and non-specific effects for Tuberculosis
Mathematical Biosciences and Engineering, 16 (6) :7250–7298
2019
Herausgeber: AIMS Press4151.
Treibert, Sarah; Brunner, Helmut; Ehrhardt, Matthias
Compartment models for vaccine effectiveness and non-specific effects for Tuberculosis
Mathematical Biosciences and Engineering, 16 (6) :7250--7298
20194150.
Treibert, Sarah; Brunner, Helmut; Ehrhardt, Matthias
Compartment models for vaccine effectiveness and non-specific effects for Tuberculosis
Mathematical Biosciences and Engineering, 16 (6) :7250–7298
2019
Herausgeber: AIMS Press4149.
Gerlach, Moritz; Glück, Jochen
Convergence of positive operator semigroups
Trans. Amer. Math. Soc., 372 (9) :6603--6627
20194148.
Kienitz, Joerg; Acar, Sarp Kaya; Liang, Qian; Nowaczyk, Nikolai
Deep option pricing - Term structure models
SSRN Electronic Journal
2019
Herausgeber: Elsevier
ISSN: 1556-50684147.
Kleefeldt, Simon; Bohrmann-Linde, Claudia
Der Wärme auf der Spur [Lehrerband]
20194146.
Kleefeldt, Simon; Bohrmann-Linde, Claudia
Der Wärme auf der Spur [Schülerband]
20194145.
[german] Grandrath, Rebecca; Bohrmann-Linde, Claudia
Die biologische Brennstoffzelle im Chemieunterricht - Einfache Experimente mit kostengünstigen Materialien
CHEMKON, 26 (5) :196-202
2019
Herausgeber: Wiley4144.
Cornelius, Soraya
Die perfekte Winterjacke. Ein praxisnahes Unterrichtsbeispiel zum Thema Wärmelehre
Science on Stage Deutschland e.V.
20194143.
Lang, Bruno; Müller, Dorothee; Arndt, Holger; Bartel, Andreas; Blankenagel, Karsten; Gottschalk, Hanno; Günther, Michael; Humbert, Ludger; Jacob, Birgit; Klamroth, Kathrin; Rüdiger, Barbara; Späth, Britta; Stiglmayr, Michael; Wyss, Christian
Die Stimmen der Fächer hören
In Michaela Heer and Ulrich Heinen, Editor, Die Stimmen der Fächer hören
Kapitel Fachlichkeitsaspekte im Mathematik- und Informatikstudium, Seite 413--428
Herausgeber: Schoeningh Ferdinand GmbH
Oktober 2019
413--4284142.
Kleefeldt, Simon; Bohrmann-Linde, Claudia
Die Wärmebildkamera im Naturwissenschaftlichen Unterricht
MNU, 72 (03) :209--216
2019
