getSteepestExitsOnBall.m

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getSteepestExitsOnBall.m#

Determines the exits on a ball, by reformulating as a trigonometric polynomial rootfinding problem. Exits are introduced in [Gibbs et al., 2024], but this algorithm is not described there. An explanation of this algorithm can be found in these extra notes.

SEs = getSteepestExitsOnBall(phaseCoeffs, centre, radius)

Inputs#

  • phaseCoeffs : Array of coefficients of the phase function \(g\).

  • centre : Centre of the non-oscillatory ball.

  • radius : Radius of the non-oscillatory ball.

Outputs#

  • SEs : An array of exits on the circumference of the non-oscillatory ball.

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