Re: Problem with NIntegrte
- To: mathgroup at smc.vnet.net
- Subject: [mg47732] Re: Problem with NIntegrte
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Sat, 24 Apr 2004 04:15:29 -0400 (EDT)
- Organization: Universitaet Leipzig
- References: <c6aeog$3hu$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
try
NIntegrate[y,{x,-Infinity,0},Method->Oscillatory]
and be surprised.
Seems a bug in the "Oscillatory" method.
Regards
Jens
Joel Storch wrote:
>
> y=BesselJ[0,x]/Sqrt[1+x^2]
>
> Integrate[y,{x,-Infinity,Infimity}] yields
> 2 BesselI[0,1/2] BesselK[0,1/2] (1.966)
>
> 2 NIntegrate[y,{x,0,Infinity},Method->Oscillatory] gives 1.966
> (the integrand is an even function)
>
> However,
> NIntegrate[y,{x,-Infinity,Infinity},Method->Oscillatory] gives
> 0.00044788
>
> (Mathematica V5.1)