A New Fourth-Order Finite-Difference Method for Solving Discrete-Ordinates Slab Transport Equations

DOI10.1137/0720007zbMath0519.65093OpenAlexW1994223572MaRDI QIDQ3668804

Beny Neta, Harold Dean jun. Victory

Publication date: 1983

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0720007

zbMATH Keywords

Boltzmann equationsuperconvergencefinite-difference approximationsasymptotic convergencelinear transport in slab geometry

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (10)

Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes ⋮ Spectral analysis of numerical methods for discrete-ordinates problems. I ⋮ Adaptive positive nodal method for transport equation ⋮ A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part I: Theory in the continuous moment case ⋮ A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part II: Theory in the discontinuous moment case ⋮ A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part III: Numerical results ⋮ L₂-error estimates for the discrete ordinates method for three-dimensional neutron transport ⋮ Analysis of global errors in discrete ordinate approximations to tee transport equation in slab geometry ⋮ Closed linear one-cell functional spatial approximations: Consistency implies convergence and stability ⋮ On superconvergence techniques

This page was built for publication: A New Fourth-Order Finite-Difference Method for Solving Discrete-Ordinates Slab Transport Equations