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.
