APPLICATIONS OF A SIMULATION ANALYZER PROGRAM FOR DEPRIVING AND EVALUATING NUMERICAL INTEGRATION TECHNIQUES.
Technical rept. Jan-Aug 68,
AIR FORCE HUMAN RESOURCES LAB WRIGHT-PATTERSON AFB OHIO
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The report describes applications of a Simulation Analyzer Program for deriving or evaluating numerical integration methods for use in flight simulation for training. The FORTRAN program was developed in an earlier study, and its theoretical bases and capabilities are briefly presented in this report. The program is used to derive and evaluate optimal integration methods for application to a selected first-order and a second-order differential system. The derived methods are used to solve these systems, and actual solution characteristics are compared with those predicted beforehand by the program. Characteristics of accuracy, actual percent error, stability, and error propagation are shown to be accurately predicted, as is the largest integration interval usable for each problem with each integration method. A thorough description is provided of the five popular simulation-integration techniques in use today and of a recommended procedure for using the Simulation Analyzer Program to derive new integration methods which allow maximization of the integration interval for specific simulation problems. As an example, the program is used to evaluate known methods and derive new methods for the F-100A problem using integration intervals of 0.05 and 0.10. A list of over 70 new integration methods derived by the program, including their stability and truncation-error characteristics, is provided. Author
- Humanities and History
- Numerical Mathematics