Abstract
In this paper, we construct a mathematical model for estimating the mass of water flooding the coastline of a basin. The models of the relief of the bottom of the basin and the relief of the flooding part of the coastline are constructed by stochastic methods. The simulation is based on empirical data of measurements of depths of the basin and the study of level lines on maps of the coastal zone. The equations of the surface relief of the coastal zone are constructed by using empirical data from maps with level lines.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 172, Proceedings of the Voronezh Winter Mathematical School “Modern Methods of Function Theory and Related Problems,” Voronezh, January 28 – February 2, 2019. Part 3, 2019.
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Rodin, V.A., Sinegubov, S.V. Stochastic Modeling of Surfaces with Modified Gauss Functions. J Math Sci 267, 765–772 (2022). https://doi.org/10.1007/s10958-022-06167-2
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DOI: https://doi.org/10.1007/s10958-022-06167-2
Keywords and phrases
- stochastic modeling of surfaces
- modified Gauss functions
- numerical methods
- computer modeling
- testing of statistical hypotheses