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MathGroup Archive 2005

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Re: Parametric Numerical Integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg63120] Re: Parametric Numerical Integral
  • From: "antononcube" <antononcube at gmail.com>
  • Date: Thu, 15 Dec 2005 03:06:30 -0500 (EST)
  • References: <dnopgm$2hb$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

If you use a definition that specifies the argument as a number
everything works fine:

In[1]:=
Clear[int];
int[(p_)?NumericQ] := NIntegrate[If[t == 0, 0, 1/(E^((1/2)*(-2 +
1/t)^2)*(Sqrt[2*Pi]*t))],
   {t, -p, p}, MaxRecursion -> 50, WorkingPrecision -> 50]

In[3]:= << "NumericalMath`NLimit`"
NLimit[int[p], p -> Infinity]
In[4]:=

NIntegrate::slwcon:
   Numerical integration converging too slowly; suspect one of the following:
    singularity, value of the integration being 0, oscillatory integrand, or
    insufficient WorkingPrecision. If your integrand is oscillatory try using
    the option Method->Oscillatory in NIntegrate.

NIntegrate::slwcon:
   Numerical integration converging too slowly; suspect one of the following:
    singularity, value of the integration being 0, oscillatory integrand, or
    insufficient WorkingPrecision. If your integrand is oscillatory try using
    the option Method->Oscillatory in NIntegrate.

NIntegrate::slwcon:
   Numerical integration converging too slowly; suspect one of the following:
    singularity, value of the integration being 0, oscillatory integrand, or
    insufficient WorkingPrecision. If your integrand is oscillatory try using
    the option Method->Oscillatory in NIntegrate.

General::stop: Further output of NIntegrate::slwcon
     will be suppressed during this calculation.

Out[4]= 0.639988


Anton Antonov,
Wolfram Research, Inc.


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