Non-one-dimensional boundary-value problems for a monopower, stationary equation of the radiation transfer are considered in the paper aiming at the asymptotical theory development for the radiation transfer in longitudinal non-one-dimensional cylindrical regions. The development of algorithms and programs for the determination of deep regimes is also the aim of the paper. As a result typical boundary-value problems for longitudinal non-one-dimensional cylindrical regions have been constructed and investigated. Formulae for a deep regime far from sources have been obtained. The asymptotics existence has been proved. Test results (of high accuracy degree) in problems of deep regimes, results intended for the verification of numerical methods...
Asymptotic and exact local radiation boundary conditions first derived by Hagstrom and Hariharan are...
Boundary-value problems for non-linear evolution equations, problems with free bounds and non-local ...
A system of non-linear equations of physics of plasma of non-standard form has been investigated in ...
This is a review of methods for the solution of non-LTE radiative transfer equations in long cylinde...
Methods for the solution of non-LTE radiative transfer equations in a cylinder, with external incide...
The paper presents the exact solutions in the form of a traveling heat wave for non-linear integro-d...
Abstract: The general vectorial boundary-value problem for kinetic equation to describe th...
AbstractExact self-similar solutions are constructed in the form of a traveling heat wave for nonlin...
Investigated have been reverse problems for the non-stationary one-speed anisotropic transfer equati...
In this work the method of discrete ordinates is applied for the solution of the problem of transfer...
Exact integral equations are derived describing the source function and radiative flux in a two-dime...
The investigation objects are the equations in partial derivatives and also the gas-discharge plasma...
This paper considers the non-stationary monochromatic radiative transfer in an infinite one-dimensio...
Abstract: Special algorithm for numerical solution of transport equation in (x,y) geometry...
Abstract: In the paper numerical methods for radiation transfer equation are investigated,...
Asymptotic and exact local radiation boundary conditions first derived by Hagstrom and Hariharan are...
Boundary-value problems for non-linear evolution equations, problems with free bounds and non-local ...
A system of non-linear equations of physics of plasma of non-standard form has been investigated in ...
This is a review of methods for the solution of non-LTE radiative transfer equations in long cylinde...
Methods for the solution of non-LTE radiative transfer equations in a cylinder, with external incide...
The paper presents the exact solutions in the form of a traveling heat wave for non-linear integro-d...
Abstract: The general vectorial boundary-value problem for kinetic equation to describe th...
AbstractExact self-similar solutions are constructed in the form of a traveling heat wave for nonlin...
Investigated have been reverse problems for the non-stationary one-speed anisotropic transfer equati...
In this work the method of discrete ordinates is applied for the solution of the problem of transfer...
Exact integral equations are derived describing the source function and radiative flux in a two-dime...
The investigation objects are the equations in partial derivatives and also the gas-discharge plasma...
This paper considers the non-stationary monochromatic radiative transfer in an infinite one-dimensio...
Abstract: Special algorithm for numerical solution of transport equation in (x,y) geometry...
Abstract: In the paper numerical methods for radiation transfer equation are investigated,...
Asymptotic and exact local radiation boundary conditions first derived by Hagstrom and Hariharan are...
Boundary-value problems for non-linear evolution equations, problems with free bounds and non-local ...
A system of non-linear equations of physics of plasma of non-standard form has been investigated in ...