#6648: [with patch, needs review] adds riemann mapping and complex interpolation
-------------------------+--------------------------------------------------
Reporter: evanandel | Owner: evanandel
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.1.1
Component: calculus | Keywords: complex
Reviewer: | Author: Ethan Van Andel
Merged: |
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Old description:
> This patch add's Riemann mapping functionality to sage:
> http://en.wikipedia.org/wiki/Riemann_mapping_theorem
>
> It can compute numerical maps and has multiple utilities for
> plotting/visualizing the maps.
>
> It also includes 2 functions to parametrically interpolate lists of
> complex points. This makes it far easier for the user to define the
> boundary of the figure that they wish to Riemann map.
>
> NOTE: This may require the cython 0.11.2spkg to compile.
>
> EDIT: There was a problem with one of my interpolation equations, fixed
> it + tests. New patch is below first one.
New description:
This patch add's Riemann mapping functionality to sage:
http://en.wikipedia.org/wiki/Riemann_mapping_theorem
It can compute numerical maps and has multiple utilities for
plotting/visualizing the maps.
It also includes 2 functions to parametrically interpolate lists of
complex points. This makes it far easier for the user to define the
boundary of the figure that they wish to Riemann map.
NOTE: This may require the cython 0.11.2spkg to compile.
EDIT: There was a problem with one of my interpolation equations, fixed it
+ tests. New patch is below first one.
EDIT: More minor fixes, new patch.
--
Comment(by evanandel):
I'm not sure about the ps.value failure, that does look like numerical
noise. The cs ones were my mistake when creating the new patch. There's
yet another version up now that should *fingers crossed* work better.
The whole package is highly dependent on numerical methods, so noise
wouldn't surprise me, but maybe it should.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6648#comment:5>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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