Assimptotic numerical method for multidimensional integrals of forecasting of thermokarst lakes
Informacionnye tehnologii i vyčislitelnye sistemy, no. 2 (2024), pp. 86-91
We develop an analytical method for the approximate calculation of multidimensional integrals, focused on solving balance equations in Randomized Machine Learning procedures. The latter are used to forecast the evolution of thermokarst lakes’ area. The method is based on the series expansion of an analytical function – the exponential – and the transformation of multidimensional integrals into the product of simple one-dimensional integrals on interval sets.
Keywords:
thermokarst lakes; Taylor series; randomized machine learning; Lagrange method; balance equations.
@article{ITVS_2024_2_a7,
author = {Yu. S. Popkov and Yu. M. Polishchuk},
title = {Assimptotic numerical method for multidimensional integrals of forecasting of thermokarst lakes},
journal = {Informacionnye tehnologii i vy\v{c}islitelnye sistemy},
pages = {86--91},
year = {2024},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ITVS_2024_2_a7/}
}
TY - JOUR AU - Yu. S. Popkov AU - Yu. M. Polishchuk TI - Assimptotic numerical method for multidimensional integrals of forecasting of thermokarst lakes JO - Informacionnye tehnologii i vyčislitelnye sistemy PY - 2024 SP - 86 EP - 91 IS - 2 UR - http://geodesic.mathdoc.fr/item/ITVS_2024_2_a7/ LA - ru ID - ITVS_2024_2_a7 ER -
%0 Journal Article %A Yu. S. Popkov %A Yu. M. Polishchuk %T Assimptotic numerical method for multidimensional integrals of forecasting of thermokarst lakes %J Informacionnye tehnologii i vyčislitelnye sistemy %D 2024 %P 86-91 %N 2 %U http://geodesic.mathdoc.fr/item/ITVS_2024_2_a7/ %G ru %F ITVS_2024_2_a7
Yu. S. Popkov; Yu. M. Polishchuk. Assimptotic numerical method for multidimensional integrals of forecasting of thermokarst lakes. Informacionnye tehnologii i vyčislitelnye sistemy, no. 2 (2024), pp. 86-91. http://geodesic.mathdoc.fr/item/ITVS_2024_2_a7/