In 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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Squarification of telescope matrices in the probabilistic evolution theoretical approach to the two particle classical mechanics as an illustrative implementation



    Conference:

    ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2016 ; La Rochelle, France


    Published in:

    Publication date :

    2017-01-27


    Size :

    8 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English




    More practicalization of probabilistic evolution theory: Case studies for the squarification of telescope matrices

    Kirkin, Melike Ebru / Demіralp, Metin | American Institute of Physics | 2017


    Illustrative Example

    Aubry, Jean‐François / Brinzei, Nicolae / Mazouni, Mohammed‐Habib | Wiley | 2016


    4D Green Approach Trajectory: Illustrative Assessment On Toulouse Approach

    Miquel, Thierry / Manzoni, Helene / Legrand, Frederic et al. | AIAA | 2010


    Probabilistic offshore mechanics

    Spanos, Pol D. ;Spanos, Pol | TIBKAT | 1985