On the Convergence of Multi-Grid Methods for a Hypersingular Integral Equation of the First Kind.
On the Convergence of the Galerkin Method for Nonsmooth Solutions of Integral Equations.
On the efficient use of the Galerkin-method to solve Fredholm integral equations
In the present paper we describe, how to use the Galerkin-method efficiently in solving boundary integral equations. In the first part we show how the elements of the system matrix can be computed in a reasonable time by using suitable coordinate transformations. These techniques can be applied to a wide class of integral equations (including hypersingular kernels) on piecewise smooth surfaces in 3-D, approximated by spline functions of arbitrary degree. In the second part we show, how to use the...
On the existence and uniqueness of non-negative solutions of a certain non-linear convolution equation
On the Fourier cosine—Kontorovich-Lebedev generalized convolution transforms
We deal with several classes of integral transformations of the form where is an operator. In case is the identity operator, we obtain several operator properties on with weights for a generalized operator related to the Fourier cosine and the Kontorovich-Lebedev integral transforms. For a class of differential operators of infinite order, we prove the unitary property of these transforms on and define the inversion formula. Further, for an other class of differential operators of finite...
On the left linear Riemann problem in Clifford analysis.
On the Numerical Resolution of the Generalized Airfoil Equation with Possio Kernel.
On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation.
On the numerical solution of an Abel integral equation
On the numerical solution of the generalized Abel integral equation
On the numerical solution of the multidimensional singular integrals and integral equations, used in the theory of linear viscoelasticity.
On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms.
On the Prandtl equation.
On the solution of an integral equation appearing in displacement problems.
On the solution of distributional Abel integral equation by distributional Sumudu transform.
On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference.
On Volterra type singular integral equations.
On weighted Hadamard-type singular integrals and their applications.
Original title unknown