Hydrogen economy, wherein hydrogen is used as the fuel in transport and energy sectors, holds significant promise mitigating deleterious effects of global warming. Photocatalytic water splitting using sunlight perhaps cleanest way producing fuel. Among various other factors, widespread adoption this technology has mainly been stymied by lack a catalyst material with high efficiency. 2D material...

Global Krylov subspace methods are the most efficient and robust methods to solve generalized coupled Sylvester matrix equation. In this paper, we propose the nested splitting conjugate gradient process for solving this equation. This method has inner and outer iterations, which employs the generalized conjugate gradient method as an inner iteration to approximate each outer iterate, while each...

Consider the linear system Ax=b where the coefficient matrix A is an M-matrix. In the present work, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditio...

With the increasing number of video applications, it is essential to resolve issues such as ineffective search content, tampered/forged packet loss, name a few. Data embedding typically utilized one solutions address aforementioned issues. One important requirements data maximize capacity with minimal bit rate overhead while ensuring imperceptibility inserted data. However, varies depending on ...

S U M M A R Y Measurements of the splitting or birefringence of seismic shear waves constitute a powerful and popular technique for characterizing azimuthal anisotropy in the upper mantle. The increasing availability of data sets from dense broad-band seismic arrays has driven interest in the development of techniques for the tomographic inversion of shear wave splitting data and in comparing s...

The splitting function is a universal property of quantum chromodynamics (QCD) which describes how energy is shared between partons. Despite its ubiquitous appearance in many QCD calculations, the splitting function cannot be measured directly, since it always appears multiplied by a collinear singularity factor. Recently, however, a new jet substructure observable was introduced which asymptot...

A widespread approach to generating iso-surfaces or contour surfaces in volume data is the so-called marching-cubes algorithm. This algorithm, however, has the disadvantage that the number of polygonal chains generated is considerable. Several attempts to reduce the size of output were undertaken in the past. For instance, we have suggested the splitting box approach. An important advantage aga...

Nearest neighbor searching is a fundamental computational problem. A set of n data points is given in real d-dimensional space, and the problem is to preprocess these points into a data structure, so that given a query point, the nearest data point to the query point can be reported efficiently. Because data sets can be quite large, we are primarily interested in data structures that use only O...

We find exact solutions of the string equations of motion and constraints describing the classical splitting of a string into two. We show that for the same Cauchy data, the strings that split have smaller action than the string without splitting. This phenomenon is already present in flat space-time. The mass, energy and momentum carried out by the strings are computed. We show that the splitt...