NUMERICAL ANALYSIS OF STIFF EQUATIONS,

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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

Author(s):
Emanuel, G.
Author Organization(s):
AEROSPACE CORP EL SEGUNDO CALIF
Annotation:
Numerical analysis of stiff equations.
Pagination:
0041

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TDR269 4230 20 3, SSD-TDR63 380
Contract/Grant Number(s):
AF04 695 269
Monitor Series:
TDR63 380
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*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
Keyword(s):
RUNGE KUTTA METHOD
Report Date:
1964 Jan 29