A new convergence rate for the quadrature method for solving singular integral equations
A numerical method for solving the Abel integral equation
A numerical method for the solution of plane crack problems in finite media.
A piecewise constant collocation method using cosine mesh grading for Symm's equation.
A polynomial collocation method for Cauchy singular integral equations over the interval.
A Quadrature-Based Approach to Improving the Collocation Method.
A regularization of Fredholm type singular integral equations.
A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators
We study the homogeneous Riemann-Hilbert problem with a vanishing scalar-valued continuous coefficient. We characterize non-existence of nontrivial solutions in the case where the coefficient has its values along several rays starting from the origin. As a consequence, some results on injectivity and existence of eigenvalues of Toeplitz operators in Hardy spaces are obtained.
A Singular Convolution Equation In The Space Of Distributions
A singular convolution equation in the space of distributions.
Abel transform and integrals of Bessel local times
About a stress deformation condition of a piecewise-uniform wedge with a system of collinear cracks at an antiplane deformation.
About one two-dimensional special linear integral equation of the third kind.
Adaptive Boundary Element Methods for Strongly Elliptic Integral Equations.
Algorithm 65. Determination of the solution of an Abel integral equation
Algorithm 67. Determination of the solution of Abel integral equations, II
Algorithm 68. Determination of the solution of Abel integral equations, III
An algebra of integral operators.
An operational Haar wavelet method for solving fractional Volterra integral equations
A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations. A global error bound is estimated and some numerical examples with smooth, nonsmooth, and singular solutions are considered to demonstrate the validity and applicability of the developed method.
Analysis for General Quadrature Methods for Integral Equations of the Second Kind.