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GSL can't handle really long intervals for integration? #16905

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kcrisman opened this issue Aug 29, 2014 · 1 comment
Open

GSL can't handle really long intervals for integration? #16905

kcrisman opened this issue Aug 29, 2014 · 1 comment
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c: calculus p: major / 3 t: bug

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@kcrisman
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f1(x)=1/sqrt(x^3+2)
f2(x)=1/sqrt(x^4+2)
sage: numerical_integral(f2,1,10^8)
(0.8815690504421161, 3.309409685784312e-09)
sage: numerical_integral(f2,1,10^9)
(0.8815690594421439, 2.7280605832086615e-08)
sage: numerical_integral(f2,1,10^10)
(0.8815690603426408, 6.194229607849825e-07)
sage: numerical_integral(f2,1,10^11)
(2.3214916598860602e-07, 4.5569931705290324e-07)

See here for first report.

CC: @sagetrac-jakobkroeker

Component: calculus

Issue created by migration from https://trac.sagemath.org/ticket/16905
@kcrisman kcrisman added this to the sage-6.4 milestone Aug 29, 2014
@kcrisman
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comment:1

Maxima (the .nintegrate method) seems to have a similar problem.

@mkoeppe mkoeppe removed this from the sage-6.4 milestone Dec 29, 2022
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