Shearlet approximation of functions with discontinuous derivatives

Multivariate approximation of functions with bounded fractional derivatives

In this paper we use a piecewise constant Smolyak approximation algorithm to approximate functions whose partial mixed fractional derivatives of order 0 < α ≤ 1 in each variable are bounded. We prove that the L1 error of our approximation is of order (log card(Aq,s))(card(Aq,s)), where card(Aq,s) denotes the number of function evaluations used by the algorithm.

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

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...

ON THE SHEARLET TRANSFORM USING HYPERBOLIC FUNCTIONS

In this paper, we focus on the study of shearlet transform which isdened by using the hyperbolic functions. As a result we check an admissibilitycondition such that implies the reconstruction formula. To this end, we will usethe concept of the classical shearlet, which indicates the position and directionof a singularity.

APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

On Padé Approximation of Some Practical Functions