Integreat`LMM`

LMMLinearStabilityPlot

LMMLinearStabilityPlot[lmm]

plots the linear stability region of lmm.

LMMLinearStabilityPlot[lmm,z]

plots in the square region to .

LMMLinearStabilityPlot[lmm,{z_min,z_max}]

plots in a region with corners z_min and z_max.

Details and Options

The stability region of lmm is the set of for which the roots of LMMLinearStabilityPolynomial[lmm,ζ,μ] lie in the unit circle.
LMMLinearStabilityPlot has the same options as ComplexRegionPlot.

Plot the linear stability region of the three-stage Adams–Moulton method:

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

Style a stability plot:

Tech Notes

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