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Theory and Modern Applications

Table 1 Weights of the selected spatial finite difference stencils

From: Numerical anisotropy in finite differencing

Stencil

\(\boldsymbol {\alpha_{1}}\)

\(\boldsymbol {\alpha_{2}}\)

\(\boldsymbol {a_{1}}\)

\(\boldsymbol {a_{2}}\)

\(\boldsymbol {a_{3}}\)

E2

0

0

1/2

0

0

E4

0

0

2/3

−1/12

0

E6

0

0

3/4

−3/20

1/60

DRP

0

0

0.770882380

−0.166705904

0.020843142

C4

1/4

0

3/4

0

0

Haras

0.3534620

0

1.5669657/2

0.13995831/4

0

Lui

0.5381301

0.0666331

1.36757772/2

0.823428170/4

0.0185207834/6

Lele

0.5771439

0.0896406

1.3025166/2

0.99355/4

0.03750245/6