Four Lectures on Differential-Algebraic Equations

Schulz, Steffen

dc.contributor.author	Schulz, Steffen	en
dc.date.accessioned	2009-08-28T03:22:52Z	en
dc.date.available	2009-08-28T03:22:52Z	en
dc.date.issued	2003-06	en
dc.identifier.citation	Department of Mathematics - Research Reports-497 (2003)	en
dc.identifier.issn	1173-0889	en
dc.identifier.uri	http://hdl.handle.net/2292/5129	en
dc.description.abstract	Differential-algebraic equations (DAEs) arise in a variety of applications. Therefore their analysis and numerical treatment plays an important role in modern mathematics. This paper gives an introduction to the topic of DAEs. Examples of DAEs are considered showing their importance for practical problems. Several well known index concepts are introduced. In the context of the tractability index existence and uniqueness of solutions for low index linear DAEs is proved. Numerical methods applied to these equations are studied.	en
dc.publisher	Department of Mathematics, The University of Auckland, New Zealand	en
dc.relation.ispartofseries	Research Reports - Department of Mathematics	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.source.uri	http://www.math.auckland.ac.nz/Research/Reports/view.php?id=497	en
dc.title	Four Lectures on Differential-Algebraic Equations	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research::230000 Mathematical Sciences::230100 Mathematics	en
dc.rights.holder	The author(s)	en