A nonlinear mechanical system, whose dynamics is described by a vector ordinary differential equation of the Lienard type, considered. It assumed that coefficients can switch from one set constant values to another, and total number these sets is, in general, infinite. Thus, piecewise functions with infinite break points on entire time axis, are used equation. method for constructing discontinu...

A theoretical framework for the analysis of discontinuous Galerkin approximations of the Maxwell eigenproblem with discontinuous coefficients is presented. Necessary and sufficient conditions for a spurious-free approximation are established, and it is shown that, at least on conformal meshes, basically all the discontinuous Galerkin methods in the literature actually fit into this framework. R...

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...