Analysis of a Monte Carlo method for nonlinear radiative transfer

DOI10.1016/0021-9991(87)90019-2zbMath0628.65128OpenAlexW2029627128MaRDI QIDQ1093350

Bertrand Mercier, Edward W. Larsen

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90019-2

zbMATH Keywords

maximum principletime discretizationlinear transport Monte Carlo methodnonlinear radiative transfer

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Applications to the sciences (65Z05) Radiative transfer in astronomy and astrophysics (85A25) Method of lines for boundary value problems involving PDEs (65N40)

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Cites Work

• A random walk procedure for improving the computational efficiency of the implicit Monte Carlo method for nonlinear radiation transport
• An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
• Existence and Uniqueness Theorems for the Neutron Transport Equation
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