#8321: numerical integration with arbitrary precision
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Reporter: burcin | Owner: burcin
Type: defect | Status: needs_work
Priority: major | Milestone: sage-4.7.1
Component: symbolics | Keywords: numerics,integration
Work_issues: | Upstream: N/A
Reviewer: | Author: Stefan Reiterer
Merged: | Dependencies:
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Comment(by kcrisman):
This should really be finished and fixed. Does anyone have any objection
to something that does what Stefan implements (using mpmath) but then has
lots of examples in numerical integration and `integrate` warning people
not to trust floating-point, even with high precision, calculations?
Otherwise this ticket could get doomed by the "must be perfect" problem.
Are there specific places where this patch is causing incorrect or worse
behavior? Burcin's example seems to be equally bad for both, and I
disagree with maldun that we shouldn't return symbolic answers. At some
point you have to make a decision, and the definite integral should
naturally be symbolic if at all possible.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8321#comment:28>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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