Nonlinear Weighted Flux Methods for Particle Transport Problems

DOI10.1080/00411450701703647zbMath1150.82021OpenAlexW2172224670MaRDI QIDQ3503932

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Publication date: 10 June 2008

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450701703647

zbMATH Keywords

diffusion equationparticle transport equationnon-linear iteration methods

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70)

Related Items (4)

Diffusion Limit of a Small Mean Free Path of Radiative Transfer Equations with Absorbing Boundary Condition ⋮ Diffusion Limit of Small Mean Free Path of Transfer Equation in ⋮ Radiative Transfer in Two Adjoining Media: The Continuity of Thermal Flux and the Existence and Uniqueness of Solutions ⋮ Stability Analysis of the Quasidiffusion Method on Periodic Heterogeneous 1D Transport Problems

Cites Work

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• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
• Nonlinear methods for solving particle transport problems
• The Quasi-Diffusion method for solving transport problems in planar and spherical geometries
• Stability analysis of the quasideffusion and second moment methods for iteratively solving discrete-ordinates problems
• Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation
• A quasi-diffusion method of solving the kinetic equation
• Nonlinear and linear \(\alpha\)-weighted methods for particle transport problems

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