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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2017, Volume 10, Issue 4, Pages 78–91
DOI: https://doi.org/10.14529/mmp170408
(Mi vyuru404)
 

This article is cited in 2 scientific papers (total in 2 papers)

Programming & Computer Software

Models and methods for three external ballistics inverse problems

N. K. Arutyunova, A. M. Dulliev, V. I. Zabotin

Kazan National Research Technical University named after A. N. Tupolev – KAI, Kazan, Russian Federation
Full-text PDF (521 kB) Citations (2)
References:
Abstract: We consider three problems of selecting optimal gun barrel direction (or those of selecting optimal semi-axis position) when firing an unguided artillery projectile on the assumption that the gun barrel semi-axis can move in a connected nonconvex cone having a non-smooth lateral surface and modelling visibility zone restrictions. In the first problem, the target is in the true horizon plane of the gun, the second and the third problems deal with some region of 3D space. A distinctive feature of the models is that the objective functions are $\varepsilon$-Lipschitz ones. We have constructed a unified numerical method to solve these problems based on the algorithm of projecting a point onto $\varepsilon$-Lipschitz level function set. A computer programme has been based on it. А series of numerical experiments on each problem has been carried out.
Keywords: mathematical modelling; inverse problem of external ballistics; optimization; $\varepsilon$-Lipschitz; projection onto nonconvex set; approximate solution.
Received: 20.01.2017
Bibliographic databases:
Document Type: Article
UDC: 519.863+519.853.4+519.853.6+531.554
Language: English
Citation: N. K. Arutyunova, A. M. Dulliev, V. I. Zabotin, “Models and methods for three external ballistics inverse problems”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:4 (2017), 78–91
Citation in format AMSBIB
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\by N.~K.~Arutyunova, A.~M.~Dulliev, V.~I.~Zabotin
\paper Models and methods for three external ballistics inverse problems
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2017
\vol 10
\issue 4
\pages 78--91
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\crossref{https://doi.org/10.14529/mmp170408}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:39
     
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