Significance arithmetic: Application to a partial differential equation
- Resource Type
- Conference
- Authors
- Bivins, R. L.; Metropolis, N.
- Source
- 1975 IEEE 3rd Symposium on Computer Arithmetic (ARITH) Computer Arithmetic (ARITH), 1975 IEEE 3rd Symposium on. :64-66 Nov, 1975
- Subject
- Computing and Processing
General Topics for Engineers
Electric shock
Equations
Correlation
Mathematical model
Approximation algorithms
Computers
Algorithm design and analysis
- Language
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.