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
The direct dynamical problem of seismics for horizontally stratified media.
The extended Adomian decomposition method for fourth order boundary value problems.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part III. The Adaptive h-p Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part I. The Error Analysis of the p-Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part II. The Error Analysis of the h- and h-p Versions.
The mesh chopping algorithm for singularly perturbed boundary value problem.
The Method of Iterated Defect-Correction and Its Application to Two-Point Boundary Value Problems. Part II.
The Method of Iterated Defect-Correction and its Application to Two-Point Boundary Value Problems. Part I.
The method of normal splines for linear implicit differential equations of second order.
The Numerical Computation of Compressed States of Nonlinearly Elastic Anisotropic Plates.
The Numerical Solution of Boundary Value Problems for Second Order Functional Differential Equations by Finite Differences.
The numerical solution of boundary-value problems for differential equations with state dependent deviating arguments
A numerical method for the solution of a second order boundary value problem for differential equation with state dependent deviating argument is studied. Second-order convergence is established and a theorem about the asymptotic expansion of global discretization error is given. This theorem makes it possible to improve the accuracy of the numerical solution by using Richardson extrapolation which results in a convergent method of order three. This is in contrast to boundary value problems for...
The Numerical Solution Of Elliptic Partial Differential Equations By The Method Of Lines.