Non-separable two-dimensional weighted ENO interpolation

The one-dimensional weighted essentially non-oscillatory (WENO) point-value interpolation proposed in Aràndiga et al. (2010) [4] generically achieves an order of accuracy of 2r, when using stencils of 2r points at regions where the interpolated function is smooth. In this paper we propose a non-separable two-dimensional weighted ENO interpolation that extends in a non-tensorial manner the above mentioned WENO interpolation and has the same order of accuracy at smooth regions. age zoom capability of this interpolation is compared to those of linear and WENO tensorial interpolation.