Convergence of Inner Iterations for Finite-Difference Approximations to the Linear Transport Equation

DOI10.1137/0723069zbMath0626.65146OpenAlexW2088609022MaRDI QIDQ3030225

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Publication date: 1986

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

Full work available at URL: https://doi.org/10.1137/0723069

zbMATH Keywords

convergencefinite differenceslinear transport equationdiscrete ordinatesquadrature approximationinner iteration scheme

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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STABILITY OF THE THETA-SCHEME FOR THE TIME-DEPENDENT, MULTIGROUP, DISCRETE ORDINATES APPROXIMATION OF THE TRANSPORT EQUATION IN SLAB GEOMETRY IN THE PRESENCE OF DELAYED NEUTRONS ⋮ Convergence of inner iterations scheme of the discrete ordinate method for neutron transport equations ⋮ A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part II: Theory in the discontinuous moment case ⋮ Closed linear one-cell functional spatial approximations: Consistency implies convergence and stability

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