The approximation of generalized turning points by projection methods with superconvergence to the critical parameter

Abstract:

A procedure is given that generates characterizations of singular manifolds for mildly nonlinear mappings between Banach spaces. This characterization is used to develop a method for determining generalized turning points by using projection methods as a discretization. Applications are given to parameter dependent two-point boundary value problems. In particular, collocation at Gauss points is shown to achieve superconvergence in approximating the parameter at simple turning points. © 1986 Springer-Verlag.

Año de publicación:

1986

Keywords:

• Subject Classifications: AMS (MOS): 65H10, CR: G1.5

Fuente:

scopus