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Conception d'un Pro Logiciel Interactif sous R pour la Simulation de Processus de Diffusion

Abstract : In this work, new package Sim.DiffProc is offered for the simulation of the processes of diffusion, provided with a graphic interface (GUI), under language R. The development of the related to computer sciences (software and material) tool these last years motivated realise this work. With the help of this package, we can deal many theoretical hard problems bound to the use of the processes of diffusion for handy researches, such that the simulation digital technology trajectories of the remedy of sde. What allows many users in different domains to employ it like sophisticated tool for the modeling of their handy problems. The problem of dispersion of a pollutant, in presence of an attractive domain that we dealt a good example in this work in east. This example shows the usefulness and the importance practices processes of diffusion in the modeling simulation of real intricate situations. The function of density of the random variable tau(c) "moment of first passage" of the border of domain of attraction can be used to determine the rate of concentration of the contaminating particles inside of the domain. The studies of simulation and the statistical analyses enforcements with the help of package Sim.DiffProc, present themselves efficient and high-performance, comparatively at the theoretical considered results explicitly or approximately determined by the models of process of distribution.
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https://theses.hal.science/tel-00735806
Contributor : Arsalane Chouaib Guidoum Connect in order to contact the contributor
Submitted on : Wednesday, September 26, 2012 - 6:26:02 PM
Last modification on : Friday, August 5, 2022 - 2:54:44 PM
Long-term archiving on: : Friday, December 16, 2016 - 5:17:23 PM

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  • HAL Id : tel-00735806, version 1

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Arsalane Guidoum. Conception d'un Pro Logiciel Interactif sous R pour la Simulation de Processus de Diffusion. Probabilités [math.PR]. Université des Sciences et de la Technologie Houari Boumediene, 2012. Français. ⟨NNT : ⟩. ⟨tel-00735806⟩

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