Stability of Ritz Procedure for Nonlinear Two-Point Boundary Value Problem.
Stability of the Rayleigh-Ritz Procedure for Nonlinear Two-Point Boundary Value Problems.
Strong convergence estimates for pseudospectral methods
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.
Sufficient Conditions for Uniform Convergence of a Class of Spline Difference Schemes for Singularly Perturbed Problems
Superconvergence for Galerkin Methods for the Two Point Boundary Problem Via Local Projections.
Superconvergence of external approximation for two-point boundary problems
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.
Superconvergence of the gradient of finite element solutions