This paper provides a Nyström method for the numerical solution of Volterra integral
equations whose kernels contain singularities of algebraic type. It is proved that the method …

A global approximation method of Nyström type is explored for the numerical solution of a
class of nonlinear integral equations of the second kind. The cases of smooth and weakly …

In this paper, we develop a fully discrete fast multiscale Galerkin method for solving the
boundary integral equation derived from the interior Dirichlet problem in a domain with …

This paper is concerned with the numerical treatment of second kind Volterra integral
equations whose integrands present diagonal and/or endpoint algebraic singularities. A …

The aim of this paper is to propose a new modified Nyström method for the approximation of
the solutions of second kind integral equations with fixed singularities of Mellin convolution …

The authors propose a “modified” Nyström method to approximate the solution of a
boundary integral equation connected with the exterior Neumann problem for Laplace's …

An error estimate for the Gauss-Lobatto quadrature formula for integration over the interval
$[-1, 1] $, relative to the Jacobi weight function $ w^{\alpha,\beta}(t)=(1-t)^\alpha (1+ t)^\beta …

Based on the single-layer potential theory, the Laplace equation can be converted into the
problem of the first-kind boundary integral equation (BIE1st). The kernel of BIE1st is …

In this paper we propose a new approach to the numerical solution of the mixed Dirichlet-
Neumann boundary value problem for the Laplace equation in planar domains with …

This paper deals with the numerical solution of second kind integral equations with fixed
singularities of Mellin convolution type. The main difficulty in solving such equations is the …