Significance Arithmetic: Application to a Partial Differential Equation

Significance Arithmetic: Application to a Partial Differential Equation

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...

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Bibliographic Details
Published in:IEEE transactions on computers Vol. C-26; no. 7; pp. 639 - 642
Main Authors: Bivins, R L, METROPOLIS, N C
Format: Journal Article
Language:English
Published: IEEE 01-07-1977
Subjects:
Error analysis
sensitivity analysis
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9340
1557-9956
DOI:10.1109/TC.1977.1674896