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