Asymptotic equilibrium diffusion analysis of time-dependent Monte Carlo methods for grey radiative transfer
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Publication:1880732
DOI10.1016/j.jcp.2004.02.004zbMath1050.85002OpenAlexW1982338612MaRDI QIDQ1880732
Jeffery D. Densmore, Edward W. Larsen
Publication date: 1 October 2004
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2004.02.004
Transport processes in time-dependent statistical mechanics (82C70) Radiative transfer in astronomy and astrophysics (85A25)
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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
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- Analysis of a Monte Carlo method for nonlinear radiative transfer
- Symbolic implicit Monte Carlo
- Asymptotic analysis of a computational method for time- and frequency-dependent radiative transfer
- A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
- An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
- Solution of the Nonlinear Radiative Transfer Equations by a Fully Implicit Matrix Monte Carlo Method Coupled with the Rosseland Diffusion Equation via Domain Decomposition
- Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation
- Transport and diffusion in a statistical medium
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