[Numerical] Computing a contour of an integral function

  1. Suppose I want to compute all complex points z such that,

    [tex]\int_{z^*}^z F(t) dt = 0[/tex]

    Here [tex]z^*[/tex] is a given constant. In general, the points z which satisfy that relation form a continuous curve beginning from the initial point.

    What is the best way to tackle this numerically? I'm sure it's a fairly standard numerical problem. Unfortunately, I'm just not sure where to look (in the literature).
    Last edited: Sep 2, 2009
  2. jcsd
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