The convergence analysis for sixth-order methods for solving discrete-ordinates slab transport equations

DOI10.1080/01630568208816133zbMath0519.65092OpenAlexW2038205608MaRDI QIDQ3668803

Beny Neta, Harold Dean jun. Victory

Publication date: 1982

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568208816133

zbMATH Keywords

superconvergenceone dimensional transport equation

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 (8)

Spectral analysis of numerical methods for discrete-ordinates problems. I ⋮ 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 ⋮ Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II

Cites Work

• On the Spatial Differencing of the Discrete Ordinate Neutron Transport Equation

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