Title :
Significance Arithmetic: Application to a Partial Differential Equation
Author :
Bivins, Robert L. ; Metropolis, Nicholas C.
Author_Institution :
Los Alamos Scientific Laboratory, University of California
fDate :
7/1/1977 12:00:00 AM
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 :
Error analysis, sensitivity analysis.; Approximation algorithms; Arithmetic; Computer errors; Difference equations; Monitoring; Nonlinear equations; Partial differential equations; Research and development; Roundoff errors; Sensitivity analysis; Error analysis, sensitivity analysis.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1977.1674896
