This paper establishes a direct method for solving variational problems via a set of Radial basis functions (RBFs) with Gauss-Chebyshev collocation centers. The method consist of reducing a variational problem into a mathematical programming problem. The authors use some optimization techniques to solve the reduced problem. Accuracy and stability of the multiquadric, Gaussian and inverse multiq...

A generalised Chebychev functional involving integral means of functions over different intervals is investigated. Bounds are obtained for which the functions are assumed to be of Hölder type. A weighted generalised Chebychev functional is also introduced and bounds are obtained in terms of weighted Grüss, Chebychev and Lupaş inequalities.

A propagation method for time-dependent Schrodinger equations with an explicitly time-dependent Hamiltonian is developed where time ordering is achieved iteratively. The explicit time dependence of the time-dependent Schrodinger equation is rewritten as an inhomogeneous term. At each step of the iteration, the resulting inhomogeneous Schrodinger equation is solved with the Chebychev propagation...

Dolph-Chebychev arrays are known to exhibit the best compromise between sidelobe level and directivity. However, they place a constraint on the null locations. Any attempt to impose nulls or get them deeper will impact the directivity/sidelobe level trade-off. In this work, null placement in Dolph-Chebychev arrays through element position perturbation is carried out based on Taguchi method whil...

Instability of a viscous incompressible flow between two rotating concentric cylinders has been investigated numerically. The outer cylinder is stationary and the inner one rotates and moves axially simultaneously. D Chebychev tau method is used to solve eigenvalue problem governing the investigation of flow stability, In the Chebychev tau method, the eigen functions of governing equations are ...

An analytic technique involving a transftirmation on the Chebychev transfer function is presented in this paper. This method will enable the designer to reduce the value of the spike in the group-delay projile at the expense of the stopband roll-ofS rate, while maintaining a pre-spec$ed equi-ripple characteristic in the passband. Since the parameters of the transformation are continuous-valued,...

This paper is about human face recognition in image files. Face recognition involves matching a given image with the database of images and identifying the image that it resembles the most. Here, face recognition is done using: (a) Eigen faces and (b) Applying Principal Component Analysis (PCA) on image. The aim is to successfully demonstrate the human face recognition using Principal component...