High-Accuracy Approximation of High-Rank Derivatives: Isotropic Finite Differences Based on Lattice-Boltzmann Stencils

<table>Order of convergence of the numerical error for some derivative approximations. The lattice-Boltzmann stencil D2V141 has been utilized. The dashed lines indicate 2nd-, 4th-, 6th-, and 8th-order convergence.</table>

The Scientific World Journal

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Figure 1

Figure 1: High-Accuracy Approximation of High-Rank Derivatives: Isotropic Finite Differences Based on Lattice-Boltzmann Stencils 