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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE