Theoretical Properties of One-Dimensional Discrete Ordinates

DOI10.1137/0716020zbMath0415.65066OpenAlexW2000164748MaRDI QIDQ3051371

Harold Dean jun. Victory, Paul jun. Nelson

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1137/0716020

zbMATH Keywords

numerical methodslinear transport equationintegro-partial differential equationsinterpolatory schemesdiscrete-ordinates approximationNyström approximation schemescattering and fission operators

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Statistical mechanics of ferroelectrics (82D45) Transport processes in time-dependent statistical mechanics (82C70) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (7)

Analysis of a full discretization scheme for \(2D\) radiative-conductive heat transfer systems ⋮ On the solution of the transport equation with periodic boundary conditions by the method of discrete ordinates ⋮ CONVERGENCE OF A NUMERICAL SCHEME FOR A NONLINEAR COUPLED SYSTEM OF RADIATIVE-CONDUCTIVE HEAT TRANSFER EQUATIONS ⋮ Convergence of two-dimensional Nyström discrete-ordinates, in solving the linear transport equation ⋮ Time dependent transport equation with continuous solutions (I) convergence of discrete ordinates approximation ⋮ Convergence of the multigroup approximations for subcritical slab media with applications to shielding calculations ⋮ Time dependent linear transport III

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