Journal of the Society for Industrial and Applied Mathematics · 1965 · 81 citations · 4 references
Natural SciencesPhysicsComputational PhysicsDifferential EquationsFluid DynamicsConvergence AnalysisDifference EquationsDiffusion ApproximationFinite Difference MethodsNumerical Methods For Differential EquationsNumerical StabilityDiffusion EquationElliptic Partial Differential EquationsFinite Difference SchemesNumerical DiffusionNumerical SimulationParabolic Equation SchemesParabolic Partial Differential EquationsStability Conditions
Previous article Next article Nonsymmetric Difference EquationsPaul GordonPaul Gordonhttps://doi.org/10.1137/0113044PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. C. Du Fort and , S. P. Frankel, Stability conditions in the numerical treatment of parabolic differential equations, Math. Tables and Other Aids to Computation, 7 (1953), 135–152 MR0059077 0053.26401 CrossrefGoogle Scholar[2] Bert K. Larkin, Some stable explicit difference approximations to the diffusion equation, Math. Comp., 18 (1964), 196–202 MR0164450 0121.11501 CrossrefISIGoogle 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] Robert D. Richtmyer, Difference methods for initial-value problems, Interscience tracts in pure and applied mathematics. Iract 4, Interscience Publishers, Inc., New. York, 1957xii+238 MR0093918 0079.33702 Google Scholar[5] J. V. Uspensky, Theory of Equations, McGraw-Hill, New York, 1948 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Volume 13, Issue 3| 1965Journal of the Society for Industrial and Applied Mathematics603-912 History Submitted:30 April 1964Accepted:18 January 1965Published online:13 July 2006 InformationCopyright © 1965 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0113044Article page range:pp. 667-673ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics
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