On the Pointwise Convergence of the Discrete-Ordinate Method

Previous article Next article On the Pointwise Convergence of the Discrete-Ordinate MethodHerbert B. KellerHerbert B. Kellerhttps://doi.org/10.1137/0108042PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Herbert B. Keller, Approximate solutions of transport problems. II. Convergence and applications of the discrete ordinate method, J. Soc. Indust. Appl. Math., 8 (1960), 43–73 10.1137/0108005 MR0111156 0116.33301 LinkISIGoogle Scholar[2] Burton Wendroff, On the convergence of the discrete ordinate method, J. Soc. Indust. Appl. Math., 8 (1960), 508–513 10.1137/0108034 MR0128636 0136.13303 LinkISIGoogle Scholar[3] K. M. Case, , F. de Hoffmann and , G. Placzek, Introduction to the theory of neutron diffusion. Vol. I, Los Alamos Scientific Laboratory, Los Alamos, N. M., 1953viii+174 MR0070494 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Chebyshev Spectral Methods for Radiative TransferSIAM Journal on Scientific Computing, Vol. 23, No. 6 | 25 July 2006AbstractPDF (210 KB)The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate MethodSIAM Journal on Numerical Analysis, Vol. 36, No. 5 | 25 July 2006AbstractPDF (507 KB)Positive Solutions for Reactor Multigroup Neutron Transport Systems: Criticality ProblemSIAM Journal on Applied Mathematics, Vol. 49, No. 3 | 10 July 2006AbstractPDF (1481 KB)Convergence of Inner Iterations for Finite-Difference Approximations to the Linear Transport EquationSIAM Journal on Numerical Analysis, Vol. 23, No. 5 | 14 July 2006AbstractPDF (568 KB)Convergence Properties of Discrete-Ordinates Solutions for Neutron Transport in Three-Dimensional MediaSIAM Journal on Numerical Analysis, Vol. 17, No. 1 | 17 July 2006AbstractPDF (1302 KB)Theoretical Properties of One-Dimensional Discrete OrdinatesSIAM Journal on Numerical Analysis, Vol. 16, No. 2 | 31 July 2006AbstractPDF (1642 KB)Bounds for the Critical Length of a Slab with Finite Reflectors in Neutron TransportC. V. PaoSIAM Journal on Applied Mathematics, Vol. 34, No. 2 | 12 July 2006AbstractPDF (846 KB)Positive Solutions and Criticality of the Linear and Some Nonlinear Neutron Transport ProblemsC. V. PaoSIAM Journal on Applied Mathematics, Vol. 32, No. 1 | 12 July 2006AbstractPDF (1240 KB)On the Convergence of the Discrete Ordinate Method in Kinetic TheoryG. RichterSIAM Journal on Applied Mathematics, Vol. 25, No. 2 | 12 July 2006AbstractPDF (705 KB)Convergence of the Discrete-Ordinates Method for Anisotropically Scattering Multiplying Particles in a Subcritical SlabSIAM Journal on Numerical Analysis, Vol. 10, No. 1 | 14 July 2006AbstractPDF (590 KB)Pointwise Convergence of the Three-Dimensional Discrete Ordinate MethodSIAM Journal on Numerical Analysis, Vol. 8, No. 2 | 14 July 2006AbstractPDF (360 KB) Volume 8, Issue 4| 1960Journal of the Society for Industrial and Applied Mathematics557-712 History Submitted:29 January 1960Published online:10 July 2006 InformationCopyright © 1960 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0108042Article page range:pp. 560-567ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics