On Solution Regularity of the Two-Dimensional Radiation Transfer Equation and Its Implication on Numerical Convergence

DOI10.1080/23324309.2023.2292040OpenAlexW4389626181MaRDI QIDQ6152137

Dean Wang

Publication date: 12 February 2024

Published in: Journal of Computational and Theoretical Transport (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23324309.2023.2292040

zbMATH Keywords

numerical convergencesolution regularityintegral radiation transfer equation

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

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• Boundary value problems for transport equations
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• Convergence of a Fully Discrete Scheme for Two-Dimensional Neutron Transport
• Estimates for the Derivatives of Solutions to Weakly Singular Fredholm Integral Equations
• Convection-Diffusion Problems
• COMPACTNESS RESULTS FOR TRANSPORT EQUATIONS AND APPLICATIONS
• AnL^ptheory for stationary radiative transfer
• Convergence of Singular Difference Approximations for the Discrete Ordinate Equations in x - y Geometry

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