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Topic: computing integral lines
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Dushan Mitrovich

Posts: 22
Registered: 5/7/11
computing integral lines
Posted: Dec 30, 2011 6:37 AM
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I need to compute integral lines on a plane of a vector field which
itself is a numerical integral over a 3rd dimension. Being fairly new
to Mathematica I'm not sure of the best way to go about this.

An obvious approach I'm trying is to start at a point (x0,y0), find the
field vector V0, project a short distance along it to a new point
(x1,y1), and find the field vector V1 there. [This can be iterated to
improve accuracy by refining (x1,y1) to be projected along (V0+V1)/2.]
Using a For loop this procedure can be repeated to move along the
generated integral curve, and another enveloping For loop can move the
initial starting point to generate a family of integral curves.

But is there a better way to do this? Does Mathematica already have a tool for
this operation? Thanks.

- Dushan
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