# 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):

# Report Date:

## 1968-10-01

# Pagination or Media Count:

## 26.0

# 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:

# Subject Categories:

- Theoretical Mathematics