Уравнение Элиашберга, записанное на мнимой оси для изотропной среды: алгоритм решения и примеры расчетов.
At present, the task of searching for compounds with a high superconducting transition temperature Тc is a
very relevant scientific direction. Usually, the calculation of Тc is performed by numerically solving the system of
Eliashberg equations. This system is a system of integral equations, which, by discretizing the integrals included
in it, is reduced to a system of transcendental non-linear equations, suitable for a numerical solution. In this paper,
we present a set of programs for solving this system written in various forms on the imaginary axis for an iso-
tropic medium. In addition, formulas for the Jacobian of this system are presented for the first time, the use of
which in numerical calculations increases the speed and stability of calculations. As an example of the developed
methods applications, the results of calculations of Тc and thermodynamic properties for the metallic hydrogen
I41 /amd phase under a pressure of 500 GPa are given. Also, the results of calculations of Тc for some metallic hy-
drides superconducting at high pressures, are given.