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
835.
Becker, Karl Heinz; Lörzer, Jutta C.; Kurtenbach, Ralf; Wiesen, Peter; Jensen, T. E.; Wallington, T. J.
Nitrous oxide (N2O) emissions from vehicles
Environmental Science and Technology, 33 (22) :4134-4139
1999834.
Jensen, Per; Bunker, Philip R.
Nuclear spin statistical weights revisited
Molecular Physics, 97 (6) :821-824
1999833.
Jensen, Per; Bunker, Philip R.
Nuclear spin statistical weights revisited
Molecular Physics, 97 (6) :821-824
1999832.
Jensen, Per; Bunker, Philip R.
Nuclear spin statistical weights revisited
Molecular Physics, 97 (6) :821-824
1999831.
Gilg, A.; Günther, M.
Numerical Circuit Simulation
Survey on Mathematics for Industry, 8 :165–169
1999
Herausgeber: Springer Verlag830.
Gilg, A
Numerical circuit simulation
SURVEYS ON MATHEMATICS FOR INDUSTRY, 8 :165--169
1999
Herausgeber: SPRINGER-VERLAG829.
Maten, E. J. W.
Numerical methods for frequency domain analysis of electronic circuits
Surveys on Mathematics for Industry, 8 :171-185
1999828.
Günther, Michael; Hoschek, M.
Partitioning strategies in circuit simulation
In Bungartz, Hans-Joachim and Durst, Franz and Zenger, Christoph, Editor, High Performance Scientific and Engineering ComputingBand8ausLecture Notes in Computational Science and Engineering, Seite 343–352
In Bungartz, Hans-Joachim and Durst, Franz and Zenger, Christoph, Editor
Herausgeber: Springer Berlin Heidelberg
1999827.
Günther, Michael; Hoschek, Markus
Partitioning strategies in circuit simulation
In H.-J. Bungartz and F. Durst and Chr. Zenger, Editor, High Performance Scientific and Engineering Computing: Proceedings of the International FORTWIHR Conference on HPSEC, Munich, March 16-18, 1998Band8ausLecture Notes in Computational Science and Engineering, Seite 343--352
Springer Berlin Heidelberg
In H.-J. Bungartz and F. Durst and Chr. Zenger, Editor
Herausgeber: Springer Verlag
1999826.
Günther, M.; Rentrop, P.
PDAE-Netzwerkmodelle in der elektrischen Schaltungssimulation
In John, W., Editor, Analog '99 : 5. ITG/GMM-Diskussionssitzung Entwicklung von Analogschaltungen mit CAE-Methoden mit dem Schwerpunkt Entwurfsmethodik und parasitäre Effekte, Seite 31–38
In John, W., Editor
Herausgeber: FhG IZM - Advanced System Engineering Paderborn
1999825.
Günther, Michael; Rentrop, Peter
PDAE-Netzwerkmodelle in der elektrischen Schaltungssimulation [PDAE networkmodels in electric switching simulation]
1999824.
Langer, U; Rienen, U van
Resume of the collection of articles on scientific computing in electrical engineering
Surveys on Mathematics for Industry, 9 (2) :151--154
1999
Herausgeber: Wien; New York: Springer-Verlag, 1991-c2005.823.
Kevenaar, T.A.M.; Maten, E.J.W.
RF IC simulation: state-of-the-art and future trends
International Conference on Simulation of Semiconductor Processes and Devices. {SISPAD}{\textquotesingle}99 ({IEEE} Cat. No.99TH8387), Seite 7-10
Herausgeber: Japan Soc. Appl. Phys
1999822.
Günther, M.; Hoschek, M.
ROW-type integration methods for circuit simulation packages
In Arkeryd, Leif and Berg, Jöran and Brenner, Philip and Pettersson, Rolf, Editor
Seite 448–455
Herausgeber: B.G. Teubner, Stuttgart
1999
448–455821.
Fateev, A. A.; Fink, Ewald H.; Pravilov, A. M.
Simple method of spectrometer/detector sensitivity calibrations in the 210-1150 nm range
Measurement Science and Technology, 10 (3) :182-189
1999820.
Fateev, A. A.; Fink, Ewald H.; Pravilov, A. M.
Simple method of spectrometer/detector sensitivity calibrations in the 210-1150 nm range
Measurement Science and Technology, 10 (3) :182-189
1999819.
Fateev, A. A.; Fink, Ewald H.; Pravilov, A. M.
Simple method of spectrometer/detector sensitivity calibrations in the 210-1150 nm range
Measurement Science and Technology, 10 (3) :182-189
1999818.
Feldmann, U.; Günther, M.
Some remarks on regularization of circuit equations
In Mathis, W. and Schindler, T., Editor, Proceedings of the X International Symposium on Theoretical Electrical Engineering (ISTET '99), Seite 343–348
In Mathis, W. and Schindler, T., Editor
Herausgeber: Otto-von-Guericke-University Magdeburg
1999817.
Feldmann, Uwe; Günther, Michael
Some remarks on regularization of circuit equations
In W. Mathis, Editor aus Conference Proceedings
Herausgeber: Universität Karlsruhe, Institut für Wissenschaftliches Rechnen und~…
1999816.
Bunker, Philip R.; Jensen, Per
Spherical top molecules and the molecular symmetry group
Molecular Physics, 97 (1-2) :255-264
1999815.
Bunker, Philip R.; Jensen, Per
Spherical top molecules and the molecular symmetry group
Molecular Physics, 97 (1-2) :255-264
1999814.
Bunker, Philip R.; Jensen, Per
Spherical top molecules and the molecular symmetry group
Molecular Physics, 97 (1-2) :255-264
1999813.
Foster, Krishna L.; Caldwell, Tracy E.; Benter, Thorsten; Langer, Sarka; Hemminger, John C.; Finlayson-Pitts, Barbara J.
Techniques for quantifying gaseous HOCl using atmospheric pressure ionization mass spectrometry
Physical Chemistry Chemical Physics, 1 (24) :5615-5621
1999812.
Foster, Krishna L.; Caldwell, Tracy E.; Benter, Thorsten; Langer, Sarka; Hemminger, John C.; Finlayson-Pitts, Barbara J.
Techniques for quantifying gaseous HOCl using atmospheric pressure ionization mass spectrometry
Physical Chemistry Chemical Physics, 1 (24) :5615-5621
1999811.
Foster, Krishna L.; Caldwell, Tracy E.; Benter, Thorsten; Langer, Sarka; Hemminger, John C.; Finlayson-Pitts, Barbara J.
Techniques for quantifying gaseous HOCl using atmospheric pressure ionization mass spectrometry
Physical Chemistry Chemical Physics, 1 (24) :5615-5621
1999
