Integreat`LMM`

LMMOrderStarPlot

LMMOrderStarPlot[lmm]

plots the order star of lmm.

LMMOrderStarPlot[lmm,z]

plots in the square region to .

LMMOrderStarPlot[lmm,{z_min,z_max}]

plots in a region with corners z_min and z_max.

Details and Options

The order star of lmm is the set of for which a root of LMMLinearStabilityPolynomial[lmm,ζ,μ] has greater modulus than .
LMMOrderStarPlot has the same options as ComplexRegionPlot.

Plot the order star of the three-stage Adams–Moulton method:

Since the region is symmetric about the real axis, we can focus on the upper half:

Style an order star:

Tech Notes

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