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MathGroup Archive 2006

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NIntegrate's Method ->Oscillatory option

  • To: mathgroup at smc.vnet.net
  • Subject: [mg67449] NIntegrate's Method ->Oscillatory option
  • From: "john.hawkin at gmail.com" <john.hawkin at gmail.com>
  • Date: Sun, 25 Jun 2006 03:19:13 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello all,

I was wondering what exactly the Method -> Oscillatory option of
Mathematica's NIntegrate function does.  In the help it says that it
uses a transformation to handle certain function, like exponentials.

My question is this:  Does it use a specific numerical integration
algorithm designed to work in these cases, or does it just somehow
transform the integral so that it can be solved using the standard
method (which it says is the Gauss-Kronrod)?  If it uses a different
algorithm, what is this algorithm commonly called?

Thanks,

-John Hawkin


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