Accession Number : AD0431750

Title :   NUMERICAL ANALYSIS OF STIFF EQUATIONS,

Corporate Author : AEROSPACE CORP EL SEGUNDO CALIF

Personal Author(s) : Emanuel,G.

Report Date : 29 JAN 1964

Pagination or Media Count : 41

Abstract : The interaction between a stiff equation and several common integration procedures is examined. Runge-Kutta is the first procedure considered. A convergence condition is derived that can be used to control the integration step size. Truncation error estimates are also shown to be misleading and of limited usefulness for this procedure. A generalized Adams predictor-corrector procedure is examined in detail with regard to stability. A technique for maximizing the step size is introduced and applied to the generalized Adams procedure. The resulting procedure is appreciably faster than the more conventional one. The analysis also shows that the computation speed of any Adams method decreases as the order of the procedure increases. (Author)

Descriptors :   (*EQUATIONS, NUMERICAL ANALYSIS), NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES, FLUID MECHANICS, CHEMICAL REACTIONS, GASES, HYPERSONIC FLOW, REENTRY VEHICLES, REACTION KINETICS, NUMERICAL INTEGRATION, HYPERSONIC NOZZLES, MOTION, OPTIMIZATION, POLYNOMIALS, STABILITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE