This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
Significance Arithmetic: Application to a Partial Differential Equation
July 1977 (vol. 26 no. 7)
pp. 639-642
R.L. Bivins, Los Alamos Scientific Laboratory, University of California
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.
Index Terms:
Error analysis, sensitivity analysis.
Citation:
R.L. Bivins, N.C. Metropolis, "Significance Arithmetic: Application to a Partial Differential Equation," IEEE Transactions on Computers, vol. 26, no. 7, pp. 639-642, July 1977, doi:10.1109/TC.1977.1674896
Usage of this product signifies your acceptance of the Terms of Use.