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A Method of Block Iteration

1956; Society for Industrial and Applied Mathematics; Volume: 4; Issue: 4 Linguagem: Inglês

10.1137/0104012

2168-3484

R. J. Arms, L. D. Gates, B. Zondek,

Functional Equations Stability Results

Previous article Next article A Method of Block IterationR. J. Arms, L. D. Gates, and B. ZondekR. J. Arms, L. D. Gates, and B. Zondekhttps://doi.org/10.1137/0104012PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] David Young, Iterative methods for solving partial difference equations of elliptic type, Trans. Amer. Math. Soc., 76 (1954), 92–111 MR0059635 0055.35704 CrossrefISIGoogle Scholar[2] Hilda Geiringer, On the solution of systems of linear equations by certain iteration methods, J. W. Edwards, Ann Arbor, Michigan, 1948, 365–393, Reissner Anniversary Volume MR0029272 0041.24101 Google Scholar[3] D. W. Peaceman and , H. H. Rachford, Jr., The numerical solution of parabolic and elliptic differential equations, J. Soc. Indust. Appl. Math., 3 (1955), 28–41 10.1137/0103003 MR0071874 0067.35801 LinkISIGoogle Scholar[4] Stanley R. Frankel, Convergence rates of iterative treatments of partial differential equations, Math. Tables and Other Aids to Computation, 4 (1950), 65–75 MR0046149 CrossrefGoogle Scholar[5] P. Stein and , R. L. Rosenberg, On the solution of linear simultaneous equations by iteration, J. London Math. Soc., 23 (1948), 111–118 MR0028682 0036.36501 CrossrefGoogle Scholar[6] John W. Sheldon, On the numerical solution of elliptic difference equations, Math. Tables Aids Comput., 9 (1955), 101–112 MR0074929 0065.35801 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails The Rate of Convergence of a Class of Block Jacobi SchemesWarren E. Ferguson, Jr.14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 23, No. 2AbstractPDF (522 KB)Block Iterative Methods for Elliptic Finite Element EquationsSeymour V. Parter and Michael Steuerwalt14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 22, No. 1AbstractPDF (2827 KB)Block Iterative Methods for Elliptic and Parabolic Difference EquationsSeymour V. Parter and Michael Steuerwalt17 July 2006 | SIAM Journal on Numerical Analysis, Vol. 19, No. 6AbstractPDF (2095 KB)On K-Line and $K \times K$ Block Iterative Schemes for a Problem Arising in Three-Dimensional Elliptic Difference EquationsSeymour V. Parter and Michael Steuerwalt17 July 2006 | SIAM Journal on Numerical Analysis, Vol. 17, No. 6AbstractPDF (1410 KB)The Block Symmetric Successive Overrelaxation MethodLouis W. Ehrlich13 July 2006 | Journal of the Society for Industrial and Applied Mathematics, Vol. 12, No. 4AbstractPDF (1404 KB)Scaled Iterations and Linear EquationsR. Bruce Kellogg and L. C. Noderer10 July 2006 | Journal of the Society for Industrial and Applied Mathematics, Vol. 8, No. 4AbstractPDF (751 KB)Special Block Iterations with Applications to Laplace and Biharmonic Difference EquationsHerbert B. Keller18 July 2006 | SIAM Review, Vol. 2, No. 4AbstractPDF (808 KB)Simultaneous, Successive and Alternating Direction Iteration SchemesJ. Heller10 July 2006 | Journal of the Society for Industrial and Applied Mathematics, Vol. 8, No. 1AbstractPDF (1569 KB) Volume 4, Issue 4| 1956Journal of the Society for Industrial and Applied Mathematics History Submitted:09 March 1956Published online:10 July 2006 InformationCopyright © 1956 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0104012Article page range:pp. 220-229ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics