Re: Oscillating method of integration

From: Lorenzo Moneta <Lorenzo.Moneta_at_cern.ch>
Date: Fri, 25 Aug 2006 10:56:03 +0200


Hi Andrew,

  I don't know of a method for 2d with oscillatory function. Hower, you should be able for a Bessel of order 0 to solve the integral analytically,
using the Bessel J0 definition

  see http://en.wikipedia.org/wiki/Bessel_function

Cheers,

  Lorenzo
On 24 Aug 2006, at 12:14, andreyk1_at_post.tau.ac.il wrote:

>
>
> Dear rooters,
>
> I need to integrate over two dimensionl oscillating function
> (TMath::BesselJ(0,x*y), 0<x<inf, 0<y<inf). I use TF1 with
> IntegralMultiple, but
> the answer is not stable, a change in max_points leads to a
> different result. I
> tried to increas the number of max_points to 1e+6 but the result is
> still
> unstable. Is there some method of integrating over oscillating
> function with
> arbitry dimensions? (in my case it is dim = 2).
>
>
> Thanks a lot!
>
>
> Andrew
>
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Received on Fri Aug 25 2006 - 10:55:10 MEST

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