Stability and Robustness of Collocation Methods for Abel-Type Integral Equations.
Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations.
Stability of Reducible Quadrature Methods for Volterra Integral Equations of the Second Kind.
Stability rates for linear ill-posed problems with compact and non-compact operators.
Su una estensione di un teorema di Tikhonov.
Sull'analisi numerica delle trasformate di Laplace delle funzioni di Anger e di Weber
Summation of slowly convergent series
Among the applications of orthogonal polynomials described briefly on my previous visit to this Center [9, §3.2] were slowly convergent series whose terms could be represented in terms of the Laplace transform at integer arguments. We proposed to sum such series by means of Gaussian quadrature rules applied to suitable integrals involving weight functions of Einstein and Fermi type (cf. [13]). In the meantime it transpired that the technique is applicable to a large class of numerical series and,...
Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations
In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement.
Superconvergence of a finite element method for linear integro-differential problems.
Superconvergence of Collocation Methods for Volterra and Abel Integral Equations of the Second Kind.
Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations.
Superconvergence of Piecewise Polynomial Galer kin Approximations for Fredholm Integral Equations of the Second Kind.
Sur la résolution numérique d'une équation intégro-différentielle singulière non linéaire de la chimie des surfaces
Sur une équation d'èvolution intégro-différentielle singulière linéaire.
Tangential fields in mathematical model of optical diffraction
We present the formulation of optical diffraction problem on periodic interface based on vector tangential fields, for which the system of boundary integral equations is established. Obtained mathematical model is numerically solved using boundary element method and applied to sine interface profile.
The approximate solution of nonlinear singular integro-differential equations.
This paper concerns the sufficient conditions for the applicability of the Newton-Kantorovich method to nonlinear singular integro-differential equation with Hilbert Kernel.
The combination of approximate solutions for accelerating the convergence
The Convergence of a Direct BEM for the Plane Mixed Boundary Value Problem of the Laplacian.
The Convergence of Even Degree Spline Collocation Solution for Potential Problems in Smooth Domains of the Plane.
The Convergence of Nyström Methods for Wiener-Hopf Equations.