Humboldt-Universität, Institut für Physik, Berlin, Germany. The main purpose of this article is to examine an application of the Chebyshev polynomials of both kinds and to the reduction of ...

Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...

which coincides with the exact solution, the error of the approximate solution (3.3.9) of Equation (3.3.1) at is given by Table 3. Table 3. Illustrates errors of ...

Abstract: A public-key cryptosystem using Chebyshev polynomials defined on a finite set has recently been developed, which is a kind of chaos-based cryptography. The security of this cryptosystem ...

Abstract: A dedicated key server cannot be instituted to manage keys for MANETs since they are dynamic and unstable. The Lagrange's polynomial and curve fitting are being used to implement ...

We address a more general version of a classic question in probability theory. Suppose X ∼ ${\bf N}_{{\bf p}}(\mu,\Sigma)$ (μ, Σ). What functions of X also have ...

High order and sparse layers in pytorch. Lagrange Polynomial, Piecewise Lagrange Polynomial, Piecewise Discontinuous Lagrange Polynomial (Chebyshev nodes) and Fourier Series layers of arbitrary order.