Research Article

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.
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