Semi-convergence and relaxation parameters for a class of SIRT algorithms.
Shannon wavelets for the solution of integrodifferential equations.
Simple square smoothing regularization operators.
Single-use reliability computation of a semi-Markovian system
Markov chain usage models were successfully used to model systems and software. The most prominent approaches are the so-called failure state models Whittaker and Thomason (1994) and the arc-based Bayesian models Sayre and Poore (2000). In this paper we propose arc-based semi-Markov usage models to test systems. We extend previous studies that rely on the Markov chain assumption to the more general semi-Markovian setting. Among the obtained results we give a closed form representation of the first...
Smoothed projection methods for the moment problem.
Smoothing effect and regularity for evolution integrodifferential systems
SO(2,1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions
MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40The paper contains some new formulas involving the Whittaker functions and arising as the values of some double integrals, which are invariant with respect to the representation of the group SO(2; 1).
Solution of Cauchy-type singular integral equations of the first kind with zeros of Jacobi polynomials as interpolation nodes.
Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets.
Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method.
Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions.
Solution of the Undetermined Nonlinear Equations by Stationary Iteration Methods.
Solving a class of multivariate integration problems via Laplace techniques
We consider the problem of calculating a closed form expression for the integral of a real-valued function f:ℝⁿ → ℝ on a set S. We specialize to the particular cases when S is a convex polyhedron or an ellipsoid, and the function f is either a generalized polynomial, an exponential of a linear form (including trigonometric polynomials) or an exponential of a quadratic form. Laplace transform techniques allow us to obtain either a closed form expression, or a series representation that can be handled...
Solving singular convolution equations using the inverse fast Fourier transform
The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular convolution equation and prove that if the transfer function is a trigonometric polynomial with simple zeros on the unit circle, then this method can be extended.
Solving the Abel integral equation by interpolation methods
Solving Theodorsen's Integral Equation for Conformai Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods.
Some limit properties of the best determined terms method
Some possibilities in solving operator equations using non stationary iterative method
Some properties of the functional equation .
Some stochastic properties of the best determined terms method