Schwach majorisierende Elemente und die besonderen Monotonie-Eigenschaften von Randwertaufgaben zweiter Ordnung.
Self-adjoint boundary-value problems on time-scales.
Singular eigenvalue problems for second order linear ordinary differential equations
We consider linear differential equations of the form on an infinite interval and study the problem of finding those values of for which () has principal solutions vanishing at . This problem may well be called a singular eigenvalue problem, since requiring to be a principal solution can be considered as a boundary condition at . Similarly to the regular eigenvalue problems for () on compact intervals, we can prove a theorem asserting that there exists a sequence of eigenvalues such...
Singularly Perturbed Finite Element Methods.
Solution matching for boundary value problems for linear equations.
Solution of a polylocal problem using Tchebychev polynomials.
Solving a system of second order obstacle problems by a modified decomposition method.
Solving two-point boundary value problems for the non monic regular matrix differential equation
Some comparisons of difference schemes on meshes of Shishkin and Bakhvalov type.
Some properties of the discontinuous Galerkin method for one-dimensional singularly perturbed problems.
Some results about the pseudospectral approximation of one-dimensional fourth-order problems.
Spectral approximation for inner and outer solution of some SPP.
Spectral properties of the Klein–Gordon -wave equation with spectral parameter-dependent boundary condition.
Spline solution of some linear boundary value problems.
Spline-wavelet solution of singularly perturbed boundary problem
SPP with discontinuous function and spectral approximation.
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.
Su un problema ai limiti per certe equazioni astratte del secondo ordine
Sufficient Conditions for Uniform Convergence of a Class of Spline Difference Schemes for Singularly Perturbed Problems
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.