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The integral of 1/(ln(x) with limits of x from 2 to 1000 does not agree with mathlab or maxima -- The numerical value of the following integration is off -- should be 176.56 and Smath gives 177.1 Any idea what could be the problem? Thanks Joey Ooi
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Rank: Advanced Member Groups: Registered, Advanced Member Joined: 13/01/2012(UTC) Posts: 2,647 Location: Italy Was thanked: 1329 time(s) in 875 post(s)
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Hello
Joey Ooi
, You have to set a better accuracy in the global options (tools >> options >> calculation) |
If you like my plugins consider to support SMath Studio buying a plan; to offer me a coffee: paypal.me/dcprojects |
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Thank you for your quick and accurate response Davide. It was very helpful indeed. Best regards Joey
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Originally Posted by: Joey Ooi Any idea what could be the problem? Smath Simpson iterative integrator is known to range from exact [sometimes] to poor. Increasing accuracy is fine in this example but will not converge in other instances like in the Fourier Quantum double integral. You can rescue your example using the attached Romberg. Mathematica online integrator link added. Jean Integrate Mathematica.sm (10kb) downloaded 26 time(s).
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Rank: Guest
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Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)
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... like this
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How many numerical integrators have been imagined ? 1+1+1+... Even Mathcad aren't so easy to deal with. This visit is worth the time spent. Jean Fourier Quantum CoC Model.sm (37kb) downloaded 17 time(s).
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