[wp34s] New integration program
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03-24-2017, 05:12 PM
(This post was last modified: 03-27-2017 05:52 PM by emece67.)
Post: #8
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RE: [wp34s] New integration program
I've just posted an implementation of the double-exponential method (that is: tanh-sinh, exp-sinh or sinh-sinh, depending on the integration interval ends being finite or not) in the General Software library.
This new program has grown in size (about 50 steps for a total of ~250) but now it copes with infinite or semi-infinite integration intervals. It can now manage things like: \[\int_{-1}^\infty{\ln(x+1)\over x^2+1}dx={3\pi\ln(2)\over8}\approx0.8165947838638507989377583368391052\ldots\] that has a discontinuity at one interval end (-1), being the other end infinite, getting as result:
Although there are, of course, integrands that may drive this method in trouble, I'm amazed about its performance and capabilities. Regards. |
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Messages In This Thread |
[wp34s] New integration program - emece67 - 03-08-2017, 05:46 PM
RE: [wp34s] New integration program - emece67 - 03-10-2017, 01:35 PM
RE: [wp34s] New integration program - Paul Dale - 03-11-2017, 12:22 PM
RE: [wp34s] New integration program - Massimo Gnerucci - 03-11-2017, 12:45 PM
RE: [wp34s] New integration program - emece67 - 03-11-2017, 03:10 PM
RE: [wp34s] New integration program - emece67 - 03-12-2017, 11:07 PM
RE: [wp34s] New integration program - emece67 - 03-17-2017, 06:16 PM
RE: [wp34s] New integration program - nova - 08-11-2019, 05:33 AM
RE: [wp34s] New integration program - emece67 - 04-03-2021, 01:40 PM
RE: [wp34s] New integration program - emece67 - 03-24-2017 05:12 PM
RE: [wp34s] New integration program - Albert Chan - 04-04-2021, 03:33 PM
RE: [wp34s] New integration program - emece67 - 04-04-2021, 05:09 PM
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