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

Personal Author(s) : Nigro,Bart J. ; Woodward,Richard A. ; Brucks,Russell C.

Report Date : MAY 1968

Pagination or Media Count : 314

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)

Descriptors :   (*COMPUTER PROGRAMMING, NUMERICAL METHODS AND PROCEDURES), (*NUMERICAL INTEGRATION, *NUMERICAL METHODS AND PROCEDURES), (*FLIGHT, SIMULATION), COMPUTER PROGRAMS, DIFFERENTIAL EQUATIONS, PROBLEM SOLVING, OPTIMIZATION, ERRORS, THEOREMS, REAL TIME, FLOW CHARTING, DIFFERENCE EQUATIONS, MATHEMATICAL MODELS, ACCURACY, STABILITY, TRAINING, FLIGHT CREWS

Subject Categories : Humanities and History
      Numerical Mathematics
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE