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NIntegrate through discontinuities

  • To: mathgroup at smc.vnet.net
  • Subject: [mg121631] NIntegrate through discontinuities
  • From: "Eric Michielssen" <emichiel at eecs.umich.edu>
  • Date: Fri, 23 Sep 2011 03:43:04 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi,

Suppose I have a function f[x] with singularities or discontinuities at x=b
and x=c.

1. What is the difference between NIntegrate[f[x],{x,a,b,c,d}] and
NIntegrate[f[x],{a,d},Exclusions -> {b,c}]

2. Suppose slist = {b,c}. How do I NIntegrate[f[x],{x,a,b,c,d}]?
NIntegrate[f[x],Flatten[x,a,slist,d]] does not work (as I expected).

Thanks,
Eric

Eric Michielssen
Radiation Laboratory
Department of Electrical Engineering and Computer Science
University of Michigan






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