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Information × Registration Number 0211U006804, 0106U000483 , R & D reports Title Developing new gridless methods of solving boundary problems in mathematical physics based on the R-functions theory. popup.stage_title Head Sheyko T.I., Registration Date 05-04-2011 Organization A.Podgorny Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine popup.description2 The method for constructing the equations of regular polygons, coordinate transformation for translating items in the range with a given step, and a new approach for the automation of constructing normalized equations of geometric objects were developed. The theorem on constructing the equation, normalized in the generalized sense, of a domain boundary part was proved. The equations of certain geometrical 3D objects, including machinery components, were constructed. A family of ARBF was constructed, algorithms for computing ARBF based on mesh-less methods was developed. A new technique for solving initial value problems of creep, which is based on the joint appliance of the R-functions method and Runge-Kutta-Merson method, was developed. The temperature fields in the fuel rods and radioelectronic equipment were studied. The "AutoOmega" system for auto-constructing the equations of geometric objects with constructive means of R-functions was developed. Product Description popup.authors Воронянська Маргарита Єв-генівна Колодяжний Володимир Максимович Лісін Денис Олександрович Лісіна Ольга Юліївна Максименко-Шейко Кирило Володимирович Мацевитий Анатолій Михайлович Селіщев Володимир Сергійович Склепус Сергій Миколайович Уваров Роман Олександрович Шейко Тетяна Іванівна popup.nrat_date 2020-04-02 Close
R & D report
Head: Sheyko T.I.. Developing new gridless methods of solving boundary problems in mathematical physics based on the R-functions theory.. (popup.stage: ). A.Podgorny Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine. № 0211U006804
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Updated: 2026-03-21