Accession Number : AD0689413

Title :   THE WEAK NEWTON METHOD AND BOUNDARY VALUE PROBLEMS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Tapia,Richard A.

Report Date : OCT 1968

Pagination or Media Count : 26

Abstract : A Newton-like method called the weak Newton method is described. This procedure coincides with the standard Newton-Kantorovich method whenever the latter is well-defined. The weak Newton method is applied to a large class of two point boundary value problems including the Euler-Lagrange equation for simple variational problems. The Newton-Kantorovich method is not well-defined for this class of problems. Numerical solutions to three well-known variational problems which were obtained using this procedure are included. (Author)

Descriptors :   (*CALCULUS OF VARIATIONS, NUMERICAL ANALYSIS), (*BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS), APPROXIMATION(MATHEMATICS), BANACH SPACE, SEQUENCES(MATHEMATICS), THEOREMS, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE