Classical Symmetric Fourth Degree Potential Systems in Probabilistic Evolution Theoretical Perspective: Most Facilitative Conicalization and Squarification of Telescope Matrices

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dc.contributor.authorGozukirmizi, Cosar
dc.contributor.authorKirkin, Melike Ebru
dc.date.accessioned2024-03-13T10:30:18Z
dc.date.available2024-03-13T10:30:18Z
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.abstractProbabilistic evolution theory (PREVTH) provides a powerful framework for the solution of initial value problems of explicit ordinary differential equation sets with second degree multinomial right hand side functions. The use of the recursion between squarified telescope matrices provides the opportunity to obtain accurate results without much effort. Convergence may be considered as one of the drawbacks of PREVTH. It is related to many factors: the initial values and the coefficients in the right hand side functions are the most apparent ones. If a space extension is utilized before PREVTH, the convergence of PREVTH may also be affected by how the space extension is performed. There are works about implementations related to probabilistic evolution and how to improve the convergence by methods like analytic continuation. These works were written before squarification was introduced. Since recursion between squarified telescope matrices has given us the opportunity to obtain results corresponding to relatively higher truncation levels, it is important to obtain and analyze results related to certain problems in different areas of engineering. This manuscript may be considered to be in a series of papers and conference proceedings which serves for this purpose.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.doi10.1063/1.4972653
dc.identifier.isbn978-0-7354-1464-8
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85013644707en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.urihttps://doi.org/10.1063/1.4972653
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3251
dc.identifier.volume1798en_US
dc.identifier.wosWOS:000399203000061en_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.titleClassical Symmetric Fourth Degree Potential Systems in Probabilistic Evolution Theoretical Perspective: Most Facilitative Conicalization and Squarification of Telescope Matricesen_US
dc.typeConference Objecten_US

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