A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation

<table>Stencil weights for the left-hand side matrix <svg height="10.6875" id="M95" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 12.2875 10.6875" width="12.2875" xmlns="http://www.w3.org/2000/svg">
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</svg> for the sixth-order scheme, HOC<svg height="14.725" id="M96" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 14.0375 14.725" width="14.0375" xmlns="http://www.w3.org/2000/svg">
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Advances in Numerical Analysis

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Figure 8

Figure 8: A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation 