[wp34s] New integration program

03242017, 05:12 PM
(This post was last modified: 03272017 05:52 PM by emece67.)
Post: #8




RE: [wp34s] New integration program
I've just posted an implementation of the doubleexponential method (that is: tanhsinh, expsinh or sinhsinh, 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 semiinfinite 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  03082017, 05:46 PM
RE: [wp34s] New integration program  emece67  03102017, 01:35 PM
RE: [wp34s] New integration program  Paul Dale  03112017, 12:22 PM
RE: [wp34s] New integration program  Massimo Gnerucci  03112017, 12:45 PM
RE: [wp34s] New integration program  emece67  03112017, 03:10 PM
RE: [wp34s] New integration program  emece67  03122017, 11:07 PM
RE: [wp34s] New integration program  emece67  03172017, 06:16 PM
RE: [wp34s] New integration program  nova  08112019, 05:33 AM
RE: [wp34s] New integration program  emece67  04032021, 01:40 PM
RE: [wp34s] New integration program  emece67  03242017 05:12 PM
RE: [wp34s] New integration program  Albert Chan  04042021, 03:33 PM
RE: [wp34s] New integration program  emece67  04042021, 05:09 PM

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