2007 , Volume 12, № 2, p.115-121

In this article we study a finite difference method of the arbitrary order of accuracy applied to solution of the interpolation problem using stretched hyperbolic splines. The method relies on the high-order compact difference schemes combined with one-sided multi-point difference approximations for the first derivatives in the smoothness conditions. This method is a direct generalization of the modification developed earlier by the author on the classical second order accuracy interpolation method. The proposed method allows both usual and the parallel realizations.