Solution of a polylocal problem using Tchebychev polynomials.
Strong convergence estimates for pseudospectral methods applied to ordinary boundary value problems are derived. The results are also used for a convergence analysis of the Schwarz algorithm (a special domain decomposition technique). Different types of nodes (Chebyshev, Legendre nodes) are examined and compared.
The superconvergence property of a certain external method for solving two point boundary value problems is established. In the case when piecewise polynomial spaces are applied, it is proved that the convergence rate of the approximate solution at the knot points can exceed the global one.
Este trabajo está consagrado al estudio de un problema de perturbación singular que aparece en la teoría de la elasticidad.
Este artículo es continuación de (I). Está consagrado al estudio de un problema de perturbación singular proveniente de la teoría de la elasticidad.