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Integration over polytop

  • To: mathgroup at smc.vnet.net
  • Subject: [mg61744] Integration over polytop
  • From: fred.esia at free.fr
  • Date: Fri, 28 Oct 2005 03:25:23 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

I would like to integrate function over domain defined by inequalities

Actually, I use the function Boole[]:
NIntegrate[f[x,y,z,t]Boole[ineq],{x,-Infinity,Infinity},{y,-Infinity,Infinity},{z,-Infinity,Infinity},{t,-Infinity,Infinity}]

But this is too slowly and the result don't have a good precision.

How can I do to integrate, functions that depend of many (3,4,...10) variables
over domain define by inequalities (linear or quadratic)?

Thancks




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