Squarification of Telescope Matrices in the Probabilistic Evolution Theoretical Approach to the Two Particle Classical Mechanics as an Illustrative Implementation

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dc.contributor.authorGozukirmizi, Cosar
dc.contributor.authorTataroglu, Elif
dc.date.accessioned2024-03-13T10:30:19Z
dc.date.available2024-03-13T10:30:19Z
dc.date.issued2017
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA) -- JUL 04-08, 2016 -- Univ La Rochelle, La Rochelle, FRANCEen_US
dc.description.abstractIn this work, the use of probabilistic evolution theory for the solution of two particle classical mechanics problem is under consideration. Using the separation of the mass center and some algebra, it is possible to reduce the problem to the solution of the initial value problem which has two differential equations and two unknown functions. This is the starting point of this manuscript and the steps up to this point is given in a companion paper. Then, space extension, constancy adding space extension, probabilistic evolution theory with squarification are utilized to form a numerical approximation. These steps and the results are detailed. Therefore, a complete application of probabilistic evolution theory is provided and the results are compared to the results obtained by fourth order Runge-Kutta method.en_US
dc.description.sponsorshipAmer Inst Aeronaut & Astronaut,Int Federat Nonlinear Analysts,Int Federat Informat Proc,Assoc Francaise Mecanique,Aquitaine Limousin PoitouCharente Reg,Charente Maritime Dept,Lab Sci Ingenieur Environnementen_US
dc.identifier.doi10.1063/1.4972654
dc.identifier.isbn978-0-7354-1464-8
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85013645686en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1063/1.4972654
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3252
dc.identifier.volume1798en_US
dc.identifier.wosWOS:000399203000062en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofIcnpaa 2016 World Congress: 11th International Conference On Mathematical Problems In Engineering, Aerospace And Sciencesen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleSquarification of Telescope Matrices in the Probabilistic Evolution Theoretical Approach to the Two Particle Classical Mechanics as an Illustrative Implementationen_US
dc.typeConference Objecten_US

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