• DocumentCode
    3377924
  • Title

    Significance arithmetic: Application to a partial differential equation

  • Author

    Bivins, R.L. ; Metropolis, N.

  • Author_Institution
    University of California Los Alamos Scientific Laboratory Los Alamos, New Mexico 87545
  • fYear
    1975
  • fDate
    19-20 Nov. 1975
  • Firstpage
    64
  • Lastpage
    66
  • Abstract
    The methods of significance arithmetic are applied to the numerical solution of a nonlinear partial differential equation. Our approach permits the use of initial values having imprecision considerably greater than that of rounding error; moreover, the intermediate and final quantities are monitored so that at any stage the precision of such quantities is available. An algorithm is found that represents faithfully the solution to a difference equation approximation to Burgers´ equation.
  • Keywords
    Algorithm design and analysis; Approximation algorithms; Computers; Correlation; Electric shock; Equations; Mathematical model;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Arithmetic (ARITH), 1975 IEEE 3rd Symposium on
  • Conference_Location
    Dallas, TX, USA
  • Type

    conf

  • DOI
    10.1109/ARITH.1975.6156973
  • Filename
    6156973