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
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;
Conference_Titel :
Computer Arithmetic (ARITH), 1975 IEEE 3rd Symposium on
Conference_Location :
Dallas, TX, USA
DOI :
10.1109/ARITH.1975.6156973