An Iterative Method for Solving a Nonlinear System of the Theory of Radiation Transfer and Statistical Equilibrium in a Plane-Parallel Layer-Reference-Cited by-同舟云学术

An Iterative Method for Solving a Nonlinear System of the Theory of Radiation Transfer and Statistical Equilibrium in a Plane-Parallel Layer

Published:2022 Issue: Volume: Page:106-120
ISSN:1865-0929
Container-title:Communications in Computer and Information Science
language:
Short-container-title:

Author:

Kalinin Aleksey^ORCID,Tyukhtina Alla^ORCID,Busalov Aleksey^ORCID

Publisher

Springer Nature Switzerland

Link

https://link.springer.com/content/pdf/10.1007/978-3-031-24145-1_9

Reference23 articles.

1. Vladimirov, V.S.: Mathematical problems in the one-velocity theory of particle transport. Tr. MIAN SSSR 61. Publ. House of the Academy of Sciences of the USSR, Moscow (1961)

2. Germogenova, T.A.: Local Properties of the Transport Equation Solutions. Nauka, Moscow (1986). (in Russian)

3. Marchuk, G.I., Lebedev, V.I.: Numerical Methods in the Theory of Neutron Transport. Harwood Academic Pub (1986)

4. Prokhorov, I.V., Sushchenko, A.A.: The Cauchy problem for the radiative transfer equation in an unbounded medium (in Russian). Dal’nevost. Mat. Zh. 18(1), 101–111 (2018). https://doi.org/10.1134/S0001433821030105

5. Amosov, A.A.: Initial-boundary value problem for the nonstationary radiative transfer equation with diffuse reflection and refraction conditions. J. Math. Sci. 235(2), 117–137 (2018). https://doi.org/10.1007/s10958-018-4063-y

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Linearizing Algorithm for Solving a Nonlinear Initial Boundary Value Problem of Radiation Transfer in Spatially Multidimensional Domains;Communications in Computer and Information Science;2024