On Monotone Abel-Volterra Integral Equations on the Half Line.
On Multilevel Iterative Methods for Integral Equations of the Second Kind and Related Problems.
On numerical solution to the problem of reactor kinetics with delayed neutrons by Monte Carlo method
In this paper, the linear problem of reactor kinetics with delayed neutrons is studied whose formulation is based on the integral transport equation. Besides the proof of existence and uniqueness of the solution, a special random process and random variables for numerical elaboration of the problem by Monte Carlo method are presented. It is proved that these variables give an unbiased estimate of the solution and that their expectations and variances are finite.
On optimal regularization methods for fractional differentiation.
On projective methods of approximate solution of singular integral equations.
On quadrature methods for the double layer potential equation over the boundary of a polyhedron.
On Spline Galerkin Methods for Singular Integral Equations with Piecewise Continuous Coefficients.
On the approximate solution of nonlinear singular integral equations with positive index.
On the Approximate Solution of Operator Equations.
On the approximate solution of some Fredholm integral equations by Newton's method.
On the asymptotic convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations
We prove the convergence of polynomial collocation method for periodic singular integral, pseudodifferential and the systems of pseudodifferential equations in Sobolev spaces via the equivalence between the collocation and modified Galerkin methods. The boundness of the Lagrange interpolation operator in this spaces when allows to obtain the optimal error estimate for the approximate solution i.e. it has the same rate as the best approximation of the exact solution by the polynomials.
On the Boundary Element Method for Some Nonlinear Boundary Value Problems.
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 Convergence of the Nyström Method for the Integral Equation Eigenvalue Problem.
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 Eigenproblem for Convolution Integral Equations.
On the Fast Matrix Multiplication in the Boundary Element Method by Panel Clustering.
On the Inversion of the Attenuated Radon Transform.
On the Numerical Resolution of the Generalized Airfoil Equation with Possio Kernel.