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 condition...

Abstract In this paper, we present a new framework of bi-level unconstrained minimization for development accelerated methods in Convex Programming. These use approximations the high-order proximal points, which are solutions some auxiliary parametric optimization problems. For computing these can different methods, and, particular, lower-order schemes. This opens possibility latter to overpass...