Accession Number:

AD0673372

Title:

A DIGITAL COMPUTER PROGRAM FOR DERIVING OPTIMUM NUMERICAL INTEGRATION TECHNIQUES FOR REAL-TIME FLIGHT SIMULATION.

Descriptive Note:

Final rept. Feb 67-Jan 68,

Corporate Author:

BELL AEROSPACE CORP BUFFALO N Y

Report Date:

1968-05-01

Pagination or Media Count:

314.0

Abstract:

An extension of a previous comprehensive and rigorous mathematical analysis of numerical integration techniques for real-time digital flight simulation as reported in AMRL-TR-67-4 is presented. This study has resulted in the creation of a FORTRAN computer program The Simulation Analyzer Program which can derive an optimum numerical integration method to solve the differential system associated with a simulation problem and satisfy all requirements accuracy, speed, etc. specified by the user. The Simulation Analyzer Program may also be used to evaluate user-supplied numerical integration methods for a given simulation problem. In the derivation of optimum methods as well as in the evaluation of user-supplied methods, the program considers consistency requirements, stability, truncation error, round-off-error, propagated error, and required computing time. This report includes a description of a family of three-step numerical integration methods which have arbitrarily large stability intervals and arbitrarily small truncation errors. Also included is a derivation of an exact expression for the propagated error produced in the numerical solution of a differential equation and a closed-form expression for percentage of error in the numerical solution. These derivations represent important advances in the state-of-the-art of numerical analysis. Author

Subject Categories:

  • Humanities and History
  • Numerical Mathematics
  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE