High-Accuracy Approximation of High-Rank Derivatives: Isotropic Finite Differences Based on Lattice-Boltzmann Stencils
Figure 4
See the caption of Figure 3. The anisotropic error for (a) the standard nine-point stencil and the isotropic errors for (c) (45) with D2V37 and (d) Patra and Karttunen () conform with the theoretical predictions. The error for (b) (43) with D2V37 is isotropic: this is not in accordance with the prediction from (37). The colors are not scaled between the approximations.