We consider numerical approximations of spectral fractional Laplace-Beltrami problems on closed surfaces. The proposed algorithms rely their Balakrishnan integral representation and consist a sinc quadrature coupled with standard finite element methods for parametric Possibly up to log term, optimal rates convergence are observed derived analytically when the discrepancies between exact solutio...

Perceived blur is an important measure of image quality and clinical visual function. The magnitude of image blur varies across space and time under natural viewing conditions owing to changes in pupil size and accommodation. Blur is frequently studied in the laboratory with a variety of digital filters, without comparing how the choice of filter affects blur perception. We examine the percepti...

In this paper the capacity of different interpolation techniques aimed at wow defect reduction is examined. Involved are: linear interpolation, two polynomial based interpolation methods (Hermite and spline) and the windowed sinc-based method. The performance of a synthetic audio signal restored using incommensurate resampling for wow cancellation is evaluated on the basis of standard audio def...

The current version allows for five different PSF models: The Gaussian model simulates a blurring effect by setting three different variance values. These values characterize the width of the PSF at various axial positions along the z-stack. The defocus model is simulated in the Fourier domain by a modulated Gaussian where the sinc modulation depends on the axial defocusing distance. Another de...

Most of the methods, which used to solve nonlinear integral equations, transform the equation into a system of nonlinear equations. It is cumbersome to solve these systems, or the solution may be unreliable. In this paper, we propose an iterative approach based on fixed point method and Sinc quadrature, which has exponentially rate of convergence, to solve Hammerstein integral equation. Converg...

In this work, we have studied a numerical scheme based on Sinc collocation method to solve class of nonlinear singularly perturbed boundary value problems. The solution the problems exhibit layer both sides or one side domain due presence perturbation parameter ?. can control oscillations in computed solutions at regions naturally because distribution points is denser near boundaries. convergen...

where sinc(x) := (sinx)/x for x 6= 0 and sinc(0) := 1. They use a version of the Parseval/Plancherel formula to prove that, subject to certain conditions on the parameters aj , the sequence I1, I2, . . . is decreasing; they also give an explicit evaluation of In by expanding the product of sines into a sum of cosines and then integrating by parts. As the Borweins observed, the integral (1.1) ca...

Multi-point boundary value problems have received considerable interest in the mathematical applications in different areas of science and engineering. In this work, our goal is to obtain numerically the approximate solution of these problems by using the Sinccollocation method. Some properties of the Sinc-collocation method required for our subsequent development are given and are utilized to ...