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

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)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1962
Accession Number
AD0292678

Entities

People

  • A. Holick

Tags

DTIC Thesaurus Topics

  • Data Science
  • Information Science
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration
  • Standards
  • Truncation

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Military Science and Technology Research and Modernization.
  • Regression Analysis.