numerical integration
- To: mathgroup at smc.vnet.net
- Subject: [mg69309] numerical integration
- From: dimmechan at yahoo.com
- Date: Wed, 6 Sep 2006 04:28:30 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hi.
I posted a similar message before one month but since there was not a
reply I repost just the basic questions again.
1) Why
NIntegrate[BesselJ[0,x],{x,0,Infinity},Method->Oscillatory]
does not work, while e.g.
NIntegrate[BesselJ[0,x]BesselJ[1,x],{x,0,Infinity},Method->Oscillatory]
works fine?
2) Why
Integrate[BesselJ[n,x],{x,0,Infinity}]
gives the following conditional result
If[Re[n] > -1, 1, Integrate[BesselJ[n, x], {x, 0, Infinity},
Assumptions -> Re[n] <= -1]]
while
Integrate[{BesselJ[ - 5,x],BesselJ[ - 8,x]},{x,0,Infinity}]
Integrate::gener: Unable to check convergence. More...
Integrate::gener: Unable to check convergence. More...
{-1, -1}
3) Why exist the warning messages regarding convergence in the previous
command as also
in the following command?
Integrate[BesselJ[0,x],{x,0,Infinity}]
Integrate::gener: Unable to check convergence. More...
1
Cheers,
Dimitrios Anagnostou