mathematical physics, boundary layers, invers problem, optimal control, river run-off, shallow water models, parallel programming, MPI.
Subject:
Mathematical and numerical modelling, hydrodynamics, inverse problem and optimal control in mathematical physics, high-performance computer, parallel algorithm.
Main publications:
Kamenshchikov L. P., Karepova E. D., Shaidurov V. V. Simulation of surface waves in basins by the finite element method // Russian J. Numer. Anal. Math. Modelling. 21:4 (2006), 305–320.
Karepova E. D., Malyshev A. V., Shaidurov V. V. and Shchepanovskaya G. I. The parallel realization of the finite element method for the Navier–Stokes equations for a viscous heat conducting gas // Notes on Numerical Fluid Mechanics and Multidisciplinary Design. Springer. Vol. 91. 2006. P. 41–54.
Багаев Б.М., Карепова Е. Д., Шайдуров В. В. Сеточные методы решения задач с пограничным слоем: В 5 ч. Новосибирск: Наука, 2001. Ч. 2. 224 с.
Fedotova Z. I., Karepova E. D. Variational principle for approximate models of wave hydrodynamics // Russian Journal of Numerical Analysis and Mathematical Modelling. 11:3 (1996), 183–204.
Fedotova Z. I., Karepova E. D. On Construction of shallow water equation by variational wording // Scientific Siberia. Numerical and Data Analysis.
AMSE-Press. 1994. Ser. A.
Vol. 11. P. 27–31.
E. Karepova, V. Petrakova, “Statistical substantiation of the revising of readings by the cityair station of PM2.5 concentration levels in the atmospheric boundary layer of the city”, Informatics and Automation, 23:2 (2024), 352–376
2020
2.
Evgenia D. Karepova, Iliya R. Adaev, Yury V. Shan'ko, “Accuracy of symmetric multi-step methods for the numerical modelling of satellite motion”, J. Sib. Fed. Univ. Math. Phys., 13:6 (2020), 781–791
E. V. Dementyeva, E. D. Karepova, V. V. Shaidurov, “Recovery of a boundary function from observation data for the surface wave propagation problem in an open basin”, Sib. Zh. Ind. Mat., 16:1 (2013), 10–20
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