Linked Questions

2
votes
0answers
256 views

How to reap error estimate from NIntegrate [duplicate]

Sometimes NIntegrate issues a warning stating that the desired accuracy wasn't reached. ...
35
votes
2answers
5k views

Determining which rule NIntegrate selects automatically

I need to numerically integrate a highly oscillatory function over the semi-infinite domain $(0,\infty)$: $$\int_0^\infty \frac{\sin^2(x) \sin^2(1000 x)}{x^{5/2}}\mathrm dx$$ Since the Levin rule (...
15
votes
2answers
3k views

NIntegrate error bound

I am trying to evaluate a highly oscillatory integral using NIntegrate. I fear that due to limited resources (time and/or memory), I will not be able to evaluate the integral to the desired precision. ...
4
votes
2answers
2k views

How to numerically integrate this integral

I am unable to do this definite integral in Mathematica 9. Is there any command so that I can get the numerical value of the above integration? Code: ...
4
votes
2answers
1k views

NIntegrate giving message NIntegrate::slwcon:

I got this interesting answer from Mathematica when trying to integrate my function numerically: f[x_] := Sqrt[17*x^2 + x^4] NIntegrate[f[x], {x, -1, 2}] ...
4
votes
2answers
218 views

Why do I get number with Precision larger than error estimate?

I'm trying to integrate a large function like this ...
4
votes
1answer
176 views

Numerical and analytical result for integral?

Consider the following integrand integrand = (Cos[q] Sin[q])/((Cos[q]^2-10^-10 (6-2 Sin[q])^2+I 10^-20) (Sin[q]-4)); I would like to integrate this over ...
4
votes
1answer
317 views

Want NIntegrate to catch error message

Really stuck with this. When I use NIntegrate, it sometimes prints a message like NIntegrate::ncvb: "NIntegrate failed to converge to prescribed accuracy after ...
2
votes
1answer
210 views

Estimate errors during integration of interpolated data

I am interested into calculating the errors associated with an integration over interpolated data. Suppose I have something like this: ...
0
votes
1answer
148 views

NIntegrate, how exact is the answer?

Since the precision is very important in my case, I am curious how precise is the MMA result for this integral: ...
0
votes
0answers
25 views

Rigorous upper bound on the absolute approximation error of an output of `NIntegrate`

Is there a way to use Mathematica to obtain a guaranteed, rigorous upper bound on the absolute approximation error of an output of NIntegrate (as an approximation ...