Significance Arithmetic: Application to a Partial Differential Equation

1 July 1977

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Computers

Vol. C-26 (7) , 639-642
https://doi.org/10.1109/TC.1977.1674896

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

This publication has 4 references indexed in Scilit:

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IEEE Transactions on Computers, 1973
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Numerische Mathematik, 1965
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IEEE Transactions on Electronic Computers, 1958