年間 12 号発行
ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337
Indexed in
On Problems of Mathematical Modeling of the Dynamics of Partially Determined at Initial-Boundary Perturbations Distributed Spatio-Temporal Processes
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要約
Analytical dependences of the state function of a linearly distributed dynamic process are constructed. The differential model of this process is supplemented with discretely and partially determined initial-boundary observations of it. Mean square estimations of consistency of obtained solution with outer dynamical information about the process are given. The conditions of the uniqueness of solution are determined. The results of its practical implementation are discussed.
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Stoyan V.A., On one approach to the study of initial boundary value problems of mathematical physics, Problemy upravleniya i informatiki, 1998, No. 1, 79–86.
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Skopetsky V.V., Stoyan V.A., Zvaridchuk V.B., Mathematical modeling of dynamics of distributed spatio-temporal processes [in Ukrainian], Izdatelstvo “Stal”, Kyiv, 2008.
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Stoyan V.A., Mathematical modeling of linear, quasi-linear and nonlinear dynamic systems [in Ukrainian], VPTs, Kyyivskyi universitet, Kyiv, 2011.
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Stoyan V.A., Dvirnychuk K.V., Construction of integral equivalent linear differential models [in Ukrainian], Dopovidi NAN Ukrainy, 2012, No. 9, 36–43.
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Skopetsky V.V., Stoyan V.A., On the identification model of the dynamics of the discretely observed inhomogeneously distributed spatio-temporal process [in Ukrainian], Ibid, 2007, No. 4, 42–48.
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Sergienko I.V., Skopetsky V.V., Stoyan V.A., Blagoveshchenskaya T.Yu., Bogaenko V.A., On software-analytical modeling of the problems of the dynamics of systems with distributed parameters, Kibernetika i sistemnyi analiz, 2005, No. 2, 35–55.
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Sergienko I.V., Skopetsky V.V., Stoyan V.A., Blagoveshchenskaya T.Yu., Bogaenko V.A., Program complex of modeling of the dynamics of systems with distributed parameters, Upravlyayushchie sistemy i mashiny, 2006, No. 2, 16–24.
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Stoyan V.A., Dvirnichuk K.V., Ershov A.E., Yemtsov A.S., On the system of computer-analytical modeling of the dynamics of spatially distributed processes, Kompyuternaya matematika, 2012, No. 2, 34–44.
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Stoyan V.A., Dvirnychuk K.V., Solomyanok I.G., On testing and solving results of the axisymmetric problem of the dynamics of a thick elastic layer [in Ukrainian], Nauchnyi vestnik Chernovitskogo universiteta, Seriya Kompyuternyye sistemy i komponenty, 2013, 4, No. 2, 104–109.