A direct boundary integral method for a mobility problem.
A discrepancy principle for Tikhonov regularization with approximately specified data
Many discrepancy principles are known for choosing the parameter α in the regularized operator equation , , in order to approximate the minimal norm least-squares solution of the operator equation Tx = y. We consider a class of discrepancy principles for choosing the regularization parameter when T*T and are approximated by Aₙ and respectively with Aₙ not necessarily self-adjoint. This procedure generalizes the work of Engl and Neubauer (1985), and particular cases of the results are applicable...
A double series variational method for a class of second kind Fredholm integral equations.
A double series variational method for a class of second kind Fredholm integral equations. (Summary).
A method for solving fuzzy Fredholm integral equations of the second kind.
A Monotone Operator Method for the Solution of Fredholm Integral Equations.
A note on Bessel function dual integral equation with weight function.
A note on dual integral equations involving inverse associated Weber-Orr transforms.
A numerical solution of the Dirichlet problem on some special doubly connected regions
The aim of this paper is to give a convergence proof of a numerical method for the Dirichlet problem on doubly connected plane regions using the method of reflection across the exterior boundary curve (which is analytic) combined with integral equations extended over the interior boundary curve (which may be irregular with infinitely many angular points).
A result about imbedded eigenvalues in the operator valued Friedrichs model
About one two-dimensional special linear integral equation of the third kind.
An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel
Mathematics Subject Classification: 44A40, 45B05The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.
An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data
We propose an adaptive finite element method for the solution of a linear Fredholm integral equation of the first kind. We derive a posteriori error estimates in the functional to be minimized and in the regularized solution to this functional, and formulate corresponding adaptive algorithms. To do this we specify nonlinear results obtained earlier for the case of a linear bounded operator. Numerical experiments justify the efficiency of our a posteriori estimates applied both to the computationally...
An Adaptive Numerical Method for Solving Linear Fredholm Integral Equations of the First Kind.
An Analysis of the Numerical Solution of Fredholm Integral Equations of the First Kind.
An continuation results for Fredholm integral equations on locally convex spaces.
An integral equation technique for solving mixed boundary value problems
An iterative method for computing the eigenvalues of second kind Fredholm operators and applications.
An optimal order yielding discrepancy principle for simplified regularization of ill-posed problems in Hilbert scales.
Analysis for General Quadrature Methods for Integral Equations of the Second Kind.