Published May 2018
| Version v1
Journal article
Theoretical and Numerical Analysis of an Initial-Boundary Value Problem for the Radiative Transfer Equation with Fresnel Matching Conditions
Creators
- 1. Russian Academy of Sciences, Institute of Applied Mathematics, Far Eastern Branch (Russian Federation)
Description
A Cauchy problem for the time-dependent radiative transfer equation in a three-dimensional multicomponent medium with generalized matching conditions describing Fresnel reflection and refraction at the interface of the media is considered. The unique solvability of the problem is proven, a Monte Carlo method for solving the initial-boundary value problem is developed, and computational experiments for different implementations of the algorithm are conducted.
Additional details
Identifiers
Publishing Information
- Journal Title
- Computational Mathematics and Mathematical Physics (Online)
- Journal Volume
- 58
- Journal Issue
- 5
- Journal Page Range
- p. 735-749
- ISSN
- 1555-6662
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 50039767
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGORITHMS; BOUNDARY-VALUE PROBLEMS; CAUCHY PROBLEM; EQUATIONS; MONTE CARLO METHOD; NUMERICAL ANALYSIS; RADIANT HEAT TRANSFER
- Descriptors DEC
- CALCULATION METHODS; ENERGY TRANSFER; HEAT TRANSFER; MATHEMATICAL LOGIC; MATHEMATICS
Optional Information
- Copyright
- Copyright (c) 2018 Pleiades Publishing, Ltd.