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Algorithm for the Numerical Solution of the Stefan Problem and its Application to Calculations of the Temperature of Tungsten Under Impulse Action
Apushkinskaya D.E., Lazareva G.G.
In this paper, we present the numerical solution of the Stefan problem to calculate the temperature
Численные методы решения задачи Стефана
Бородин, С. Л., Borodin, S. L.
All of the most well-known numerical methods for solving the Stefan’s problem, as well as a new
Mathematical Modeling of Melting Tungsten Exposed to Pulsed Laser Beam
Lazareva G.G., Arakcheev A.S., Popov V.A.
by solving the two-phase Stefan problem. The free boundary is ignored during the calculation, since
Задача Стефана как предельный случай задачи о фазовом переходе в спектре температур
Аксенов, Б. Г., Карякина, С. В., Aksenov, B. G., Karyakina, S. V.
of Stefan problem. The method of estimates suggests differential and integral inequalities for the equations
Mathematical Model of Thermocurrents Based on Calculation of Electrical Resistance and Thermopower As an Integral over Electron Energy
Lazareva G.G., Popov V.A., Okishev V.A., Burdakov A.V.
equations and a two-phase Stefan problem in cylindrical coordinates. Based on the temperature distribution
Calculation of the expansion dynamics of evaporated tungsten under the action of a laser pulse
Arakcheev A.S., Lazareva G.G., Maksimova A.G., Popov V.A., Ivashin N.E.
-phase Stefan problem in a cross-section of the sample. The aim of the study is to model the erosion
Estimation of the change in the gas flow rate from the surface of a tungsten plate under pulsed heat load
Lazareva G.G., Arakcheev A.S., Popov V.A., Maksimova A.G.
. The tungsten evaporation model is based on solving the two-phase Stefan problem for temperature in the sample
The maximum principle in optimal control problems with phase constraints. Nondegeneracy and stability
Arutyunov A.V., Aseev S.M., Mirică Stefan
for the optimal control problem of minimizing J(t_1,t_2,x(t_1),x(t_2)) subject to x'(t)in F(t,x(t)) a.e., x
Численное моделирование одномерных многофронтовых задач Стефана
Аксенов, Б. Г., Карякин, Ю. Е., Aksenov, B. G., Karyakin, Yu. E.
number of standard transformations and Green’s function help to present the Stefan problem as an integral
Modeling of the Ice Cover Dynamics of a Freshwater Reservoir
Vasil’ev, Evgeniy N., Васильев, Евгений Н.
on the numerical solution of the Stefan’s problem in a generalized formulation. Climatic conditions were taken

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