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