mathematical modeling of of aerohydrodynamic processes, numerical methods, mechanics of liquid, gas and plasma, parallel computing.
Main publications:
Lobkovsky L.I., Baranov B.V., Mazova R.Kh., Kataeva L.Yu., “Generation and propagation of catastrophic tsunamis in the sea of Okhotsk basin: possible scenarios”, Doklady Earth Sciences, 410:7 (2006), 1156–1159
Grishin A.M., Golovanov A.N., Kataeva L.Yu., Loboda E.L., “Formulation and solution of the problem of drying of a layer of combustible forest materials”, Combustion, Explosion, and Shock Waves, 37:1 (2001), 57–66
V. S. Bochkov, L. Yu. Kataeva, D. A. Maslennikov, “Accurate multiclass fire segmentation: approaches, neural networks, and segmentation schemes”, Artificial Intelligence and Decision Making, 2024, no. 3, 71–86
2016
2.
I. V. Belyaev, N. A. Loschilova, D. A. Maslennikov, L. Yu. Kataeva, “Investigation of the combination artificial and natural barriers for forest fire extinguishing”, Meždunar. nauč.-issled. žurn., 2016, no. 6-5(48), 88–94
2010
3.
I. I. Ukhova, L. Yu. Kataeva, “Разработка программного комплекса для реализации численной модели распространения лесного верхового пожара”, Matem. Mod. Kraev. Zadachi, 4 (2010), 186–191
4.
L. Yu. Kataeva, D. A. Maslennikov, M. V. Prokofieva, “Analysis of the effectiveness of an iteration-interpolation method”, Zhurnal SVMO, 12:4 (2010), 130–133
2009
5.
L. Yu. Kataeva, I. E. Belotserkovskaya, “Researches mathematical models distribution of a fire
for definition dependence speed of distribution from a corner of
an inclination.”, Trudy SVMO, 11:2 (2009), 90–99
2001
6.
A. M. Grishin, A. N. Golovanov, L. Yu. Kataeva, E. L. Loboda, “Formulation and solution of the problem of drying of a layer of combustible forest materials”, Fizika Goreniya i Vzryva, 37:1 (2001), 65–76; Combustion, Explosion and Shock Waves, 37:1 (2001), 57–66