Convergence and cross-media: discourse term logic paradigm

The paper identifies key interpretation of convergence; on the basis of their analysis are systematized and tendencies within the meaning of the term and its dynamics of social communication; cross-media understanding is proposed as the implementation process of media convergence trends. The author notes that the media industry is changing rapidly and facing the development and combination of different media formats.

Finite element approximations in projection methods for solution of some Fredholm integral equation of the first kind

Approximation properties of B-splines and Lagrangian finite elements in Hilbert spaces of functions defined on surfaces in three-dimensional space are investigated.  The conditions for the convergence of Galerkin and collocation methods for solution of the Fredholm integral equation of the first kind for the simple layer potential that is equivalent to the Dirichlet problem for Laplace equation in $\mathbb{R}^3$ are established.  The estimation of the error of approximate solution of this problem, obtained by means of the potential theory methods, is determined.