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Sector of Neural Network Technologies in Continuum Mechanics

Head of the Sector: Stepanov Podion Aleksandrovich

Phone: +7 (922) 643-00-75

E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Scientific interests of the Sector focus on the development and application of artificial neural network techniques to address current continuum mechanics problems that include modeling and analysis of complex nonlinear processes in gases, liquids, plasmas, and solids. The primary objectives are to construct and verify neural network models designed to describe the dynamics of multiscale and unstable systems and to predict their evolution for cases in which the effectiveness of traditional mathematical modeling methods is limited. The developed approaches offer great possibilities for theoretical, experimental and applied studies in continuum mechanics and promote the creation of new tools for analysis, optimization and control of relevant physical processes.

 

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Forecast of solar activity based on mean-field dynamo model and neural network


Kleeorin, N., Kuzanyan, K., Safiullin, N., Rogachevskii, I., Obridko, V., Porshnev, S., & Stepanov, R. (2025).
Astronomical and Astrophysical Transactions, Volume 34, Numéro 4, 371–388. https://doi.org/10.17184/eac.9323

 

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Comparison of the single-step and multistep approaches to forecast of the solar activity index


Kisielius V., Illarionov E.A., Stepanov R.A., Kuzanyan K.M.
Bulletin of the Russian Academy of Sciences: Physics. 2025. Т. 89. № 7. С. 1165-1169.

 

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Application of neural networks for localization of concentrated load on the surface of a deformable body based on deformation data


Konyukhov V.A., Matveenko V. P., Stepanov R. A.
Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2025, Volume 35, Issue 3, Pages 469–484