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 (a diff...
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2011
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_07477171_v46_n10_p1114_DAlfonso https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_07477171_v46_n10_p1114_DAlfonso_oai |
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I28-R145-paper_07477171_v46_n10_p1114_DAlfonso_oai2024-08-16 D'Alfonso, L. Jeronimo, G. Ollivier, F. Sedoglavic, A. Solernó, P. 2011 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 (a differential Kronecker representation) 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. © 2011 Elsevier Ltd. Fil:Jeronimo, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Solernó, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_07477171_v46_n10_p1114_DAlfonso info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Symb. Comput. 2011;46(10):1114-1138 Geometric resolution Implicit systems of Differential Algebraic Equations Index Kronecker algorithm A geometric index reduction method for implicit systems of differential algebraic equations info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_07477171_v46_n10_p1114_DAlfonso_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| topic |
Geometric resolution Implicit systems of Differential Algebraic Equations Index Kronecker algorithm |
| spellingShingle |
Geometric resolution Implicit systems of Differential Algebraic Equations Index Kronecker algorithm D'Alfonso, L. Jeronimo, G. Ollivier, F. Sedoglavic, A. Solernó, P. A geometric index reduction method for implicit systems of differential algebraic equations |
| topic_facet |
Geometric resolution Implicit systems of Differential Algebraic Equations Index Kronecker algorithm |
| 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 (a differential Kronecker representation) 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. © 2011 Elsevier Ltd. |
| format |
Artículo Artículo publishedVersion |
| author |
D'Alfonso, L. Jeronimo, G. Ollivier, F. Sedoglavic, A. Solernó, P. |
| author_facet |
D'Alfonso, L. Jeronimo, G. Ollivier, F. Sedoglavic, A. Solernó, P. |
| author_sort |
D'Alfonso, L. |
| title |
A geometric index reduction method for implicit systems of differential algebraic equations |
| title_short |
A geometric index reduction method for implicit systems of differential algebraic equations |
| title_full |
A geometric index reduction method for implicit systems of differential algebraic equations |
| title_fullStr |
A geometric index reduction method for implicit systems of differential algebraic equations |
| title_full_unstemmed |
A geometric index reduction method for implicit systems of differential algebraic equations |
| title_sort |
geometric index reduction method for implicit systems of differential algebraic equations |
| publishDate |
2011 |
| url |
http://hdl.handle.net/20.500.12110/paper_07477171_v46_n10_p1114_DAlfonso https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_07477171_v46_n10_p1114_DAlfonso_oai |
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