Sarkar's edge zeroing heuristic for scheduling precedence constrained task graphs on parallel systems can be viewed as a priority based algorithm in which the priority is assigned to edges. In this algorithm, the priority is taken as the edge weight. This can also be viewed as a task dependent priority function that is defined for pairs of tasks. We have extended this idea in which the priority is a cluster dependent function of pairs of clusters (of tasks). Using this idea we propose an algorithm of complexity O(|V||E|(|V|+|E|)) and compare it with some well known algorithms.

This paper is concerned with the study of the maximum modulus and the coefficients of the power series expansion of a function of several complex variables analytic in the unit polydisc.

A new kind of characteristic-difference scheme for Sobolev equations is constructed by combining characteristic method with the finite-difference method and with the skew linear interpolation method. The convergence of the characteristic-difference scheme is studied. The advantage of this scheme is very effectual to eliminate the numerical oscillations and have potential advantages in other equations.

In this paper,we study Wiener processes with N(0,1)-random trend uesing wavelet transform.we study its some properties and wavelet expansion.

Aiming at the gray uneven distribution in the night vehicle images, a new local Chan–Vese (LCV) model is proposed for image segmentation. The energy functional of the proposed model consists of three terms: global term, local term and regularization term. By incorporating the local image information into the proposed model, the images with intensity inhomogeneity can be efficiently segmented. Finally, experiments on nighttime plate images have demonstrated the efficiency and robustness of our model. Moreover, comparisons with recent popular local binary fitting (LBF) model also show that our LCV model can segment images with few iteration times.

In this article, by introducing a new general ansatze, the improved ( )- expansion - method is proposed to construct exact solutions of some nonlinear partial differential equations in mathematical physics via the generalized Zakharov equations, the coupled Maccaris equations, the (2+1)- dimensional Wu-Zhang equations and the (1+1) dimensional Fornberg – Whitham equation in terms of the hyperbolic functions , trigonometric functions and rational function, where satisfies a second order linear ordinary differential equation. When the parameters are taken special values, the solitary wave are derived from the traveling waves. This method is reliable, simple and gives many new exact solutions.

This paper proposes an effective method to separate noise from multiple copy images (MCIs). Suppose that noise and original image are mutually independent in mixed signals, the mixed signals are thus decomposed to an original image independent component and a noise component by using fast independent component analysis (FastICA). The original image independent component is selected to reconstruct the resulting image according to the standard deviation of its time course. By modeling the noise as Gaussian, experimental results show that zero-mean and nonzero-mean Gaussian noises can be separated effectively from multiple copy images by the proposed method, which is effective in the case of stable and unstable noise intensity.

We prove the existence of nontrivial nonnegative solutions to the following nonlinear elliptic problem: