THE WEAK NEWTON METHOD AND BOUNDARY VALUE PROBLEMS.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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
- Theoretical Mathematics