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NIntegrate issue with symbolic parameters

• To: mathgroup at smc.vnet.net
• Subject: [mg120570] NIntegrate issue with symbolic parameters
• From: gopher <gophergoon at gmail.com>
• Date: Fri, 29 Jul 2011 08:01:55 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

The docs say that NIntegrate evaluates the integrand with the
variables being symbolic, and then repeatedly evaluates the result
numerically. This is a problem for me as my integrand calls
Eigenvectors which results in a symbolic calculation of the
eigenvectors. If the variables were passed numerically instead, there
would be no problem.

In the end, I get errors about oscillation and convergence, 'slwcon'
and 'eincr', which should never occur since the integrand is actually
constant! (theoretically and also confirmed by Plot3D).

Is there a way out?  Since the details are a bit long, I am putting a
link to the file below:

https://netfiles.uiuc.edu/aroy2/www/nintegrate-issue.nb

Thanks for any help,
Abhishek

• Follow-Ups:
  • Re: NIntegrate issue with symbolic parameters
    • From: Heike Gramberg <heike.gramberg@gmail.com>