On simplified spherical harmonics equations for the radiative transfer equation

DOI10.1007/S10910-011-9858-8zbMath1458.78003OpenAlexW2093388906MaRDI QIDQ645182

Weimin Han, Hao Zheng

Publication date: 8 November 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-011-9858-8

zbMATH Keywords

uniquenessradiative transfer equationsolution existencesimplified spherical harmonics \((SP_{N})\) method

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Waves and radiation in optics and electromagnetic theory (78A40) Radiative transfer in astronomy and astrophysics (85A25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Renormalization of the highly forward-peaked phase function using the double exponential formula for radiative transfer ⋮ Splitting methods for differential approximations of the radiative transfer equation ⋮ On a family of differential approximations of the radiative transfer equation ⋮ Fractional radiative transport in the diffusion approximation ⋮ A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

Cites Work

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• Light transport in biological tissue based on the simplified spherical harmonics equations
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• Mathematical Methods in Image Reconstruction
• Theoretical Numerical Analysis
• Radiative Transfer in the Atmosphere and Ocean
• The Mathematical Theory of Finite Element Methods

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