Convergence of the modified discrete ordinates method for the anisotropic scattering transport equation

DOI10.1007/S10114-015-4507-YzbMath1330.82066OpenAlexW1083310415MaRDI QIDQ748191

Xin Zhang

Publication date: 20 October 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4507-y

zbMATH Keywords

eigenvaluenorm convergenceanisotropic scattering transport equationmodified discrete ordinates method

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) A priori estimates in context of PDEs (35B45) Transport processes in time-dependent statistical mechanics (82C70) Nuclear reactor theory; neutron transport (82D75) Integro-partial differential equations (35R09)

Cites Work

• Time-dependent simplified \(P_{N}\) approximation to the equations of radiative transfer
• Solution of the one-dimensional transport equation by the vector Green function method: error bounds and simulation
• On the Radiative Equilibrium of a Stellar Atmosphere.
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