Add to ORKGAbstract We begin by proposing a regularization procedure for solving some singular integral equations of the second kind. After that, we consider a projection method to the regularized equation using a sequence of orthogonal finite rank projections. We prove the convergence of the method and we perform an error analysis. We end with some numerical examples illustrating the obtained theoretical results
AbstractWe consider boundary value problems of the form {xy″+f(x)y′+[g(x)+λσ(x)]y=0,x∈(0,1),y(0)=α,α...
AbstractA simple method based on polynomial approximation of a function is employed to obtain approx...
AbstractThe problem of identification of the diffusion coefficient in the partial differential equat...
AbstractThe authors propose a simple numerical method to approximate the solution of CSIE. The conve...
AbstractIn this paper, we consider a finite-dimensional approximation scheme combined with Tikhonov ...
Problem of solving Fredholm integral equations of the first kind is a prototype of an ill-posed prob...
AbstractIn this paper, we suggest a convergence analysis for solving Fredholm integral equations of ...
Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cau...
AbstractA simple and efficient method for solving hypersingular integral equations of the first kind...
summary:Semi-smooth Newton methods are analyzed for the Signorini problem. A proper regularization i...
AbstractThis paper deals with the numerical approximation of a weakly singular integral transform by...
AbstractIn the first part of this paper we study the regularity properties of solutions to initial o...
AbstractAlgorithms are proposed for the numerical evaluation of Cauchy principal value integrals ⨍−1...
AbstractIn this work, we present a Galerkin approach for solving the linear integro-differential equ...
AbstractIn this paper, we consider the nonlinear elliptic systems under controllable growth conditio...
AbstractWe consider boundary value problems of the form {xy″+f(x)y′+[g(x)+λσ(x)]y=0,x∈(0,1),y(0)=α,α...
AbstractA simple method based on polynomial approximation of a function is employed to obtain approx...
AbstractThe problem of identification of the diffusion coefficient in the partial differential equat...
AbstractThe authors propose a simple numerical method to approximate the solution of CSIE. The conve...
AbstractIn this paper, we consider a finite-dimensional approximation scheme combined with Tikhonov ...
Problem of solving Fredholm integral equations of the first kind is a prototype of an ill-posed prob...
AbstractIn this paper, we suggest a convergence analysis for solving Fredholm integral equations of ...
Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cau...
AbstractA simple and efficient method for solving hypersingular integral equations of the first kind...
summary:Semi-smooth Newton methods are analyzed for the Signorini problem. A proper regularization i...
AbstractThis paper deals with the numerical approximation of a weakly singular integral transform by...
AbstractIn the first part of this paper we study the regularity properties of solutions to initial o...
AbstractAlgorithms are proposed for the numerical evaluation of Cauchy principal value integrals ⨍−1...
AbstractIn this work, we present a Galerkin approach for solving the linear integro-differential equ...
AbstractIn this paper, we consider the nonlinear elliptic systems under controllable growth conditio...
AbstractWe consider boundary value problems of the form {xy″+f(x)y′+[g(x)+λσ(x)]y=0,x∈(0,1),y(0)=α,α...
AbstractA simple method based on polynomial approximation of a function is employed to obtain approx...
AbstractThe problem of identification of the diffusion coefficient in the partial differential equat...