Accession Number : AD0432698

Title :   RESEARCH OF NONLINEAR BOUNDARY VALUE PROBLEMS USING THE METHOD OF LIE SERIES DEVISED BY GROBNER.

Descriptive Note : Final technical rept., 1 Nov 63-31 Jan 64,

Corporate Author : INNSBRUCK UNIV (AUSTRIA)

Personal Author(s) : Grobner,W. ; Cap,F.

Report Date : 31 JAN 1964

Pagination or Media Count : 98

Abstract : The Lie series calculus has led to the discovery of a spectrum of iteration rules for the numerical treatment of differential equations. For the numerical treatment of boundary value problems, formulas for initial value problems are utilized, and with the aid of the Newtonian iteration method, the missing initial values from the prescribed boundary and intermediate conditions are determined. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, NUMERICAL METHODS AND PROCEDURES), SERIES(MATHEMATICS), NONLINEAR SYSTEMS, DIFFERENTIAL EQUATIONS, MULTIPLE OPERATION, STATISTICAL ANALYSIS, CELESTIAL MECHANICS, REAL VARIABLES, PERTURBATION THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE