This work presents a method to solve boundary value problems based on polynomial approximations and the application of the methods of moments and the Galerkin method. The weighted average residuals are evaluated by improved Gauss-Radau and Gauss-Lobatto quadratures, capable to exactly compute integrals of polynomials of degree 2n and 2n + 2 (where n is the number of internal quadrature points),...

Œe GFR (Gabor Filter Residual) features, built as histograms of quantized residuals obtained with 2D Gabor €lters, can achieve competitive detection performance against adaptive JPEG steganography. In this paper, an improved version of the GFR is proposed. First, a novel histogram merging method is proposed according to the symmetries between di‚erent Gabor €lters, thus making the features more...

Conditional expectations given past observations in stationary time series are usually estimated directly by kernel estimators, or by plugging in kernel estimators for transition densities. We show that, for linear and nonlinear autoregressive models driven by independent innovations, appropriate smoothed and weighted von Mises statistics of residuals estimate conditional expectations at better...

during the last few decades cereals yield have increased drastically at the national level however, information about yield stability and its resistance to annual environmental variability are scare. in this study long term stability of grin yield of wheat, barley, rice, corn and overall cereals in iran were evaluated during a 40-year period (1971-2011). stability analysis was conducted using t...

Geng and Cai suggested a modified He’s frequency–amplitude formulation for nonlinear oscillators (Geng and Cai 2007 Eur. J. Phys. 28 923–31). We point out the accuracy of both the original one and the modified version depends upon the chosen location point, and so far we have no general rule for the location choice. The method of weighted residuals is suggested to overcome the shortcoming.

Solution for cylindrical shell under concentrated force is a fundamental problem which allow to consider many other cases of loading and geometries. Existing solutions were based on simplified assumptions, the ranges accuracy them still remains unknown. The common idea expansion into Fourier series with respect circumferential coordinate. This reduces 8th order even differential equation as axi...

Transient solutions of the equations for particle size distributions in a Brownian coagulation process have been obtained by the method of weighted residuals. The trial functions for expansion of the size distribution function were obtained by Gram-Schmidt orthogonalizafion of the set {n~} using an inner product with a weight function that was obtained by solving the equation of change with a c...