Accession Number : AD0637201

Title :   INVESTIGATION OF THE ASSUMPTIONS OF THE PROBABILISTIC THEORY OF ROUND-OFF ERRORS IN NUMERICAL INTERGRATION OF DIFFERENTIAL EQUATIONS.

Descriptive Note : Final rept., 1 Jul 63-31 Mar 66.

Corporate Author : UTAH UNIV SALT LAKE CITY

Personal Author(s) : Endl,Kurt W.

Report Date : JUN 1966

Pagination or Media Count : 32

Abstract : A study has been made of the assumption of the probabilistic theory of round-off errors in numerical integration of differential equations. To test the valadity of this theory experiments were performed to test the very assumption of this model, namely the randomness of the local round-off error. In conclusion, the most critical factor, deciding on randomness of the local round-off error, is the proportion of step-length and accuracy. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, *NUMERICAL INTEGRATION), (*NUMERICAL ANALYSIS, NUMERICAL INTEGRATION), (*PROBABILITY, ERRORS), STATISTICAL DISTRIBUTIONS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE