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dc.contributor.author
Castro, Rodrigo Daniel
dc.contributor.author
Kofman, Ernesto Javier
dc.date.available
2018-01-12T19:14:11Z
dc.date.issued
2015-04
dc.identifier.citation
Castro, Rodrigo Daniel; Kofman, Ernesto Javier; Activity of order n in continuous systems ; Sage Publications; Simulation; 91; 4; 4-2015; 337-348
dc.identifier.issn
0037-5497
dc.identifier.uri
http://hdl.handle.net/11336/33124
dc.description.abstract
In this work we generalize the concept of activity of continuous time signals. We define the activity of order n of a signal and show that it allows us to estimate the number of sections of polynomials up to order n which are needed to represent that signal with a certain accuracy. Then we apply this concept to obtain a lower bound for the number of steps performed by quantization-based integration algorithms in the simulation of ordinary differential equations. We perform an exhaustive analysis over two examples, computing the activity of order n and comparing it with the number of steps performed by different integration methods. This analysis corroborates the theoretical predictions and also allows us to measure the suitability of the different algorithms depending on how close to the theoretical lower bound they perform.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Sage Publications
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Devs
dc.subject
Numerical Methods
dc.subject
Continuous Systems
dc.subject
Simulation
dc.subject.classification
Ciencias de la Computación
dc.subject.classification
Ciencias de la Computación e Información
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Activity of order n in continuous systems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-01-11T19:36:36Z
dc.journal.volume
91
dc.journal.number
4
dc.journal.pagination
337-348
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Castro, Rodrigo Daniel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Kofman, Ernesto Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
dc.journal.title
Simulation
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1177/0037549715577124
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://journals.sagepub.com/doi/abs/10.1177/0037549715577124


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