A Geometric Index Reduction Method for Implicit Systems of Differential Algebraic Equations
This paper deals with the index reduction problem for the class of quasi-regular DAE systems. It is shown that any of these systems can be transformed to a generically equivalent first order DAE system consisting of a single purely algebraic (polynomial) equation plus an under-determined ODE (that i...
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| creator | D'Alfonso, Lisi Jeronimo, Gabriella Ollivier, François Sedoglavic, Alexandre Solernó, Pablo |
| description | This paper deals with the index reduction problem for the class of
quasi-regular DAE systems. It is shown that any of these systems can be
transformed to a generically equivalent first order DAE system consisting of a
single purely algebraic (polynomial) equation plus an under-determined ODE
(that is, a semi-explicit DAE system of differentiation index 1) in as many
variables as the order of the input system. This can be done by means of a
Kronecker-type algorithm with bounded complexity. |
| doi_str_mv | 10.48550/arxiv.1008.5080 |
| format | Article |
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quasi-regular DAE systems. It is shown that any of these systems can be
transformed to a generically equivalent first order DAE system consisting of a
single purely algebraic (polynomial) equation plus an under-determined ODE
(that is, a semi-explicit DAE system of differentiation index 1) in as many
variables as the order of the input system. This can be done by means of a
Kronecker-type algorithm with bounded complexity.</description><identifier>DOI: 10.48550/arxiv.1008.5080</identifier><language>eng</language><subject>Computer Science - Symbolic Computation ; Mathematics - Classical Analysis and ODEs</subject><creationdate>2010-08</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1008.5080$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1008.5080$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>D'Alfonso, Lisi</creatorcontrib><creatorcontrib>Jeronimo, Gabriella</creatorcontrib><creatorcontrib>Ollivier, François</creatorcontrib><creatorcontrib>Sedoglavic, Alexandre</creatorcontrib><creatorcontrib>Solernó, Pablo</creatorcontrib><title>A Geometric Index Reduction Method for Implicit Systems of Differential Algebraic Equations</title><description>This paper deals with the index reduction problem for the class of
quasi-regular DAE systems. It is shown that any of these systems can be
transformed to a generically equivalent first order DAE system consisting of a
single purely algebraic (polynomial) equation plus an under-determined ODE
(that is, a semi-explicit DAE system of differentiation index 1) in as many
variables as the order of the input system. This can be done by means of a
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quasi-regular DAE systems. It is shown that any of these systems can be
transformed to a generically equivalent first order DAE system consisting of a
single purely algebraic (polynomial) equation plus an under-determined ODE
(that is, a semi-explicit DAE system of differentiation index 1) in as many
variables as the order of the input system. This can be done by means of a
Kronecker-type algorithm with bounded complexity.</abstract><doi>10.48550/arxiv.1008.5080</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Symbolic Computation Mathematics - Classical Analysis and ODEs |
| title | A Geometric Index Reduction Method for Implicit Systems of Differential Algebraic Equations |
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