The Cauchy Problem for the Radiation Transfer Equation with Fresnel and Lambert Matching Conditions

Mathematical Notes ◽

10.1134/s0001434619010097 ◽

2019 ◽

Vol 105 (1-2) ◽

pp. 80-90 ◽

Author(s):

I. V. Prokhorov

Keyword(s):

Cauchy Problem ◽

Transfer Equation ◽

Radiation Transfer ◽

Radiation Transfer Equation ◽

Matching Conditions ◽

The Cauchy Problem

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The branching Monte Carlo methods for the Cauchy problem of the radiative transfer equation with Fresnel matching conditions

2017 Days on Diffraction (DD) ◽

10.1109/dd.2017.8168017 ◽

2017 ◽

Author(s):

A. Kim ◽

I. V. Prokhorov

Keyword(s):

Cauchy Problem ◽

Monte Carlo ◽

Radiative Transfer ◽

Monte Carlo Methods ◽

Transfer Equation ◽

Radiative Transfer Equation ◽

Matching Conditions ◽

The Cauchy Problem ◽

Fresnel Matching Conditions

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On the structure of the continuity set of the solution to a boundary-value problem for the radiation transfer equation

Mathematical Notes ◽

10.1134/s0001434609070256 ◽

2009 ◽

Vol 86 (1-2) ◽

pp. 234-248 ◽

Author(s):

I. V. Prokhorov

Keyword(s):

Boundary Value Problem ◽

Transfer Equation ◽

Radiation Transfer ◽

Boundary Value ◽

Radiation Transfer Equation

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Advanced Computing Method for Solving of the Polarized-Radiation Transfer Equation

Methods and Tools of Parallel Programming Multicomputers - Lecture Notes in Computer Science ◽

10.1007/978-3-642-14822-4_30 ◽

2010 ◽

pp. 268-276 ◽

Author(s):

Andrey Kovtanyuk ◽

Konstantin Nefedev ◽

Igor Prokhorov

Keyword(s):

Transfer Equation ◽

Radiation Transfer ◽

Radiation Transfer Equation ◽

Advanced Computing ◽

Computing Method ◽

Polarized Radiation

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Some Inverse Problem for the Polarized-Radiation Transfer Equation

Modeling, Simulation and Optimization of Complex Processes ◽

10.1007/978-3-642-25707-0_17 ◽

2012 ◽

pp. 207-217

Author(s):

A. E. Kovtanyuk ◽

I. V. Prokhorov

Keyword(s):

Inverse Problem ◽

Transfer Equation ◽

Radiation Transfer ◽

Radiation Transfer Equation ◽

Polarized Radiation

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Numerical experiments on the Helmholtz equation derived from the solar radiation transfer equation in three-dimensional space

Applied Mathematics and Computation ◽

10.1016/0096-3003(80)90003-x ◽

1980 ◽

Vol 7 (2) ◽

pp. 155-175 ◽

Author(s):

Szu-Cheng S. Ou ◽

Kuo-Nan Liou

Keyword(s):

Solar Radiation ◽

Helmholtz Equation ◽

Transfer Equation ◽

Numerical Experiments ◽

Radiation Transfer ◽

Dimensional Space ◽

Three Dimensional ◽

Radiation Transfer Equation ◽

Three Dimensional Space

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General iterative processes for solving the radiation transfer equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510020119 ◽

2010 ◽

Vol 50 (2) ◽

pp. 306-309

Author(s):

V. I. Devkin

Keyword(s):

Transfer Equation ◽

Radiation Transfer ◽

Radiation Transfer Equation ◽

Iterative Processes

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On the problem of the relationship between coherence theory and the radiation-transfer equation

Radiophysics and Quantum Electronics ◽

10.1007/bf01031830 ◽

1972 ◽

Vol 15 (9) ◽

pp. 1087-1089 ◽

Author(s):

G. I. Ovchinnikov ◽

V. I. Tatarskii

Keyword(s):

Transfer Equation ◽

Radiation Transfer ◽

Coherence Theory ◽

Radiation Transfer Equation ◽

The Relationship

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An extremum problem for the radiation transfer equation

Journal of Inverse and Ill-Posed Problems ◽

10.1515/156939405775201664 ◽

2005 ◽

Vol 13 (4) ◽

pp. 365-382 ◽

Author(s):

I. V Prokhorov ◽

I. P. Yarovenko ◽

T. V. Krasnikova

Keyword(s):

Transfer Equation ◽

Radiation Transfer ◽

Extremum Problem ◽

Radiation Transfer Equation

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Integral form of the time-dependent radiation transfer equation—III. Moving boundaries

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/0022-4073(87)90099-9 ◽

1987 ◽

Vol 38 (6) ◽

pp. 475-487 ◽

Author(s):

Alain Munier

Keyword(s):

Transfer Equation ◽

Radiation Transfer ◽

Integral Form ◽

Moving Boundaries ◽

Time Dependent ◽

Radiation Transfer Equation

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Modelling of the twilight sky brightness using a numerical solution of the radiation transfer equation

Journal of Atmospheric and Terrestrial Physics ◽

10.1016/0021-9169(95)00175-1 ◽

1996 ◽

Vol 58 (16) ◽

pp. 1843-1848 ◽

Author(s):

Yu.E. Belikov

Keyword(s):

Numerical Solution ◽

Transfer Equation ◽

Radiation Transfer ◽

Radiation Transfer Equation ◽

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