Accession Number : AD0292678

Title :   EFFECT OF DEGRADED OPERATIONAL MODES ON THE ACCUMULATION OF ERRORS IN NUMERICAL INTEGRATION. PART I. TRAPEZOIDAL RULE

Corporate Author : HUGHES AIRCRAFT CO CULVER CITY CALIF

Personal Author(s) : HOLICK,A.

Report Date : 01 DEC 1962

Pagination or Media Count : 1

Abstract : The effect of degraded operational modes (word split technique) on the accumulation of errors in numerical integration was analyzed and formulas for the first two error moments were derived. The variance of the degraded mode error is indirectly proportional to the number of integration steps for constant mission time and decreases, therefore, with decreasing length of the integration cycle. It seems realistic to permit work split technique if the standard deviation of the degraded mode error is smaller than the sum of the truncation error and the standard deviation of the round-off error in the failure free mode. (Author)

Descriptors :   *CONTROL SYSTEMS, *DIGITAL SYSTEMS, *NUMERICAL INTEGRATION, *NUMERICAL METHODS AND PROCEDURES

Distribution Statement : APPROVED FOR PUBLIC RELEASE