#11273: Riemann Enhancements: Docs, Exterior, Multiple Spiderweb, Error Testing
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Reporter: evanandel | Owner: burcin
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.7.1
Component: calculus | Keywords: riemann map
Work_issues: | Upstream: N/A
Reviewer: | Author: Ethan Van Andel
Merged: | Dependencies: 8867, 10792, 10821, 11028
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This is a major upgrade of the riemann module. Features are:
Fixes and expansions to the docs, covering the issues in #10945.
I've added some test methods that compute the explicit map of an ellipse
to a high degree of accuracy. The doctests for these methods contain tests
that show that the numerical Riemann_Map values remain accurate. The
precision of the normal doctests has been reduced accordingly, so
hopefully they will no longer fail for different architectures/numpy
versions. This covers #10957
The exterior Riemann map can now be computed, that is a conformal mapping
of the exterior of a region to the exterior of the unit circle. The docs
specify how this may be done.
I've added support for computing the spiderweb plot for multiply connected
domains. This uses a different method than the simply connected spiderweb
and is takes about the same time as a color plot of the same resolution.
(It's worth noting that I don't think this has ever been done before.)
I've also fiddled around under the hood, cleaning up some code, moving
things around for more efficiency and trying to add a few more helpful
inline comments.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11273>
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