Non-Structural Zeros and Singular Uncertainty in Index Reduction of DAE: Examples and Discussions
2007 (English)Report (Other academic)
When massaging differential-algebraic equations during an index reduction process, one usually keeps track of structural zeros in order to be able to detect when non-differential equations appear. However, in a numerical setting structural zeros may turn out as small numbers, impossible to distinguish from zero when numerical precision is taken into account.Such coefficients are referred to as non-structural zeros. This note aims to provide a better understanding of the ad hoc procedure of replacing those and other small numbers by structural zeros, at critical stages in the index reduction process.
Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2007. , 17 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2768
Differential-algebraic, Numeric, Index reduction
IdentifiersURN: urn:nbn:se:liu:diva-56127ISRN: LiTH-ISY-R-2768OAI: oai:DiVA.org:liu-56127DiVA: diva2:316972