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Significance arithmetic: Application to a partial differential equation

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2 Author(s)
Bivins, R.L. ; University of California Los Alamos Scientific Laboratory Los Alamos, New Mexico 87545 ; Metropolis, N.

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.

Published in:

Computer Arithmetic (ARITH), 1975 IEEE 3rd Symposium on

Date of Conference:

19-20 Nov. 1975