Stability Analysis of the Quasidiffusion Method on Periodic Heterogeneous 1D Transport Problems

DOI10.1080/00411450903372084zbMath1183.82102OpenAlexW2026434674MaRDI QIDQ5851718

Adrian Constantinescu, Dmitriy Y. Anistratov

Publication date: 25 January 2010

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

Full work available at URL: https://doi.org/10.1080/00411450903372084

zbMATH Keywords

radiative transferiteration methodsneutron transportparticle transport equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Transport processes in time-dependent statistical mechanics (82C70) Nuclear reactor theory; neutron transport (82D75)

Cites Work

• Unconditionally stable and robust adjacent-cell diffusive preconditioning of weighted-difference particle transport methods is impossible
• Stability analysis of the quasideffusion and second moment methods for iteratively solving discrete-ordinates problems
• Nonlinear Weighted Flux Methods for Particle Transport Problems
• A quasi-diffusion method of solving the kinetic equation
• Nonlinear and linear \(\alpha\)-weighted methods for particle transport problems

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