Accession Number : AD0654320

Title :   THE APPLICATION OF SCHUR'S ALGORITHM TO THE DERIVATION OF OPTIMAL NUMERICAL INTEGRATION TECHNIQUES FOR DIGITAL FLIGHT SIMULATION.

Descriptive Note : Final rept., Jun-Sep 66,

Corporate Author : AEROSPACE MEDICAL RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Knoop,Patricia A.

Report Date : MAR 1967

Pagination or Media Count : 48

Abstract : The report describes the derivation and application of a computer-oriented technique for synthesizing numerical integration methods which are optimal on the basis of stability alone. The local growth of propagated error during a numerical integration and its affect on stability is explored. Also, a unique approach for deriving both classical and non-classical integration methods is presented. Schur's algorithm is used to formulate the search for an optimal kth-order integration method as a non-linear programming problem suitable for computer implementation. First and second order methods which are optimal on the basis of stability alone are derived. Finally, the technique developed in this study is used to derive the 'stability ranges' for several well known integration formulae for purposes of evaluating their adequacy for a given simulation problem. (Author)

Descriptors :   (*FLIGHT, SIMULATION), OPTIMIZATION, STABILITY, DIFFERENTIAL EQUATIONS, REAL TIME, TRAINING, ACCURACY, MATRICES(MATHEMATICS), THEOREMS, ALGORITHMS

Subject Categories : Humanities and History
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE