Reprint of a Note on Rounding-Off Errors
George E. Forsythe · SIAM Review · 1959
Previous article Next article Reprint of a Note on Rounding-Off ErrorsGeorge E. ForsytheGeorge E. Forsythehttps://doi.org/10.1137/1001011PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout"Reprint of a Note on Rounding-Off Errors." SIAM Review, 1(1), pp. 66–67[1] Hans A. Rademacher, On the accumulation of errors in processes of integration, The Annals of the Computation Laboratory of Harvard University, Vol. 16, Cambridge, Mass., , 176–185 Google Scholar[2] Harry D. Huskey, On the precision of a certain procedure of numerical integration, J. Research Nat. Bur. Standards, 42 (1949), 57–62 MR0032215 CrossrefISIGoogle Scholar[3] George E. Forsythe, Round-off errors in numerical integration on automatic machinery, Bull. Amer. Math. Soc., 56 (1950), 61–, Abstract ISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision22 April 2022 | IMA Journal of Numerical Analysis, Vol. 35 Cross Ref FAST: DNN Training Under Variable Precision Block Floating Point with Stochastic Rounding Cross Ref Stochastic rounding: implementation, error analysis and applications9 March 2022 | Royal Society Open Science, Vol. 9, No. 3 Cross Ref Stochastic Rounding: Algorithms and Hardware Accelerator Cross Ref Stochastic Rounding and Its Probabilistic Backward Error AnalysisMichael P. Connolly, Nicholas J. Higham, and Theo Mary11 February 2021 | SIAM Journal on Scientific Computing, Vol. 43, No. 1AbstractPDF (604 KB)Stochastic rounding and reduced-precision fixed-point arithmetic for solving neural ordinary differential equations20 January 2020 | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, No. 2166 Cross Ref Adding Approximate CountersACM Transactions on Parallel Computing, Vol. 4, No. 1 Cross Ref Adding approximate countersACM SIGPLAN Notices, Vol. 51, No. 8 Cross Ref Adding approximate counters Cross Ref A quantitative probabilistic investigation into the accumulation of rounding errors in numerical ODE solutionComputers & Mathematics with Applications, Vol. 57, No. 7 Cross Ref On the round-off error in the method of successive over-relaxation1 January 1964 | Mathematics of Computation, Vol. 18, No. 85 Cross Ref Volume 1, Issue 1| 1959SIAM Review History Submitted:07 February 1958Published online:18 July 2006 InformationCopyright © 1959 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1001011Article page range:pp. 66-67ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics