Numerical solution and structural analysis of differential-algebraic equations
| dc.contributor | Aalto-yliopisto | fi |
| dc.contributor | Aalto University | en |
| dc.contributor.author | Arponen, Teijo | |
| dc.contributor.department | Department of Engineering Physics and Mathematics | en |
| dc.contributor.department | Teknillisen fysiikan ja matematiikan osasto | fi |
| dc.contributor.lab | Institute of Mathematics | en |
| dc.contributor.lab | Matematiikan laitos | fi |
| dc.date.accessioned | 2012-02-10T09:22:35Z | |
| dc.date.available | 2012-02-10T09:22:35Z | |
| dc.date.issued | 2002-06-18 | |
| dc.description.abstract | In the last two decades differential-algebraic equations (DAEs) have become an important branch in numerical analysis. In this Thesis we study them from a new, geometric point of view. The DAE is interpreted as a subset of a jet bundle and its solution are induced by the Cartan distribution on the jet bundle. We also introduce a method to examine and define the structure of a general, polynomial, DAE whose locus is not necessarily a fibred manifold. Also it is shown how some singularities of multibody systems are removed by using the algebraic techniques used in this approach. | en |
| dc.description.version | reviewed | en |
| dc.format.extent | 22, [111] | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.isbn | 951-22-5909-5 | |
| dc.identifier.issn | 0784-3143 | |
| dc.identifier.uri | https://aaltodoc.aalto.fi/handle/123456789/2185 | |
| dc.identifier.urn | urn:nbn:fi:tkk-001557 | |
| dc.language.iso | en | en |
| dc.publisher | Helsinki University of Technology | en |
| dc.publisher | Teknillinen korkeakoulu | fi |
| dc.relation.haspart | J. Tuomela and T. Arponen. On the numerical solution of involutive ordinary differential systems. IMA J. Numer. Anal., 20:561-599, 2000. | |
| dc.relation.haspart | J. Tuomela and T. Arponen. On the numerical solution of involutive ordinary differential systems: higher order methods. BIT, 41:599-628, 2001. [article2.pdf] © 2001 BIT. By permission. | |
| dc.relation.haspart | T. Arponen. Regularization of constraint singularities in multibody systems. Multibody Systems Dynamics, 6:355-375, 2001. | |
| dc.relation.haspart | T. Arponen. The complete form of a differential algebraic equation. Revised version of Technical Report A438, Helsinki University of Technology, 2001. Submitted. [article4.pdf] © 2001 by author. | |
| dc.relation.ispartofseries | Research reports / Helsinki University of Technology, Institute of Mathematics. A | en |
| dc.relation.ispartofseries | 409 | en |
| dc.subject.keyword | symbolic computation | en |
| dc.subject.keyword | Runge-Kutta methods | en |
| dc.subject.keyword | index reduction | en |
| dc.subject.keyword | overdetermined differential equations | en |
| dc.subject.other | Mathematics | en |
| dc.title | Numerical solution and structural analysis of differential-algebraic equations | en |
| dc.type | G5 Artikkeliväitöskirja | fi |
| dc.type.dcmitype | text | en |
| dc.type.ontasot | Väitöskirja (artikkeli) | fi |
| dc.type.ontasot | Doctoral dissertation (article-based) | en |
| local.aalto.digiauth | ask | |
| local.aalto.digifolder | Aalto_63594 |
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