Re: Integration over polytop

*To*: mathgroup at smc.vnet.net*Subject*: [mg61771] Re: [mg61744] Integration over polytop*From*: Pratik Desai <pdesai1 at umbc.edu>*Date*: Sat, 29 Oct 2005 01:32:38 -0400 (EDT)*References*: <200510280725.DAA08678@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

fred.esia at free.fr wrote: >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)? > >Thanks > > > > > You might want to try Maxim's piecewise integrate package. Although it does not seem to work for integration of the complex piecewise functions in the real domain :-( http://library.wolfram.com/infocenter/MathSource/5117/ Best regards Pratik . -- Pratik Desai Graduate Student UMBC Department of Mechanical Engineering Phone: 410 455 8134

**References**:**Integration over polytop***From:*fred.esia@free.fr