vector integration

*To*: mathgroup at smc.vnet.net*Subject*: [mg35052] vector integration*From*: "Michael Bechmann" <bechmann at physik.uni-wuerzburg.de>*Date*: Thu, 20 Jun 2002 23:54:56 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

hello everybody, i am facing a problem in the numerical integration of a vector-valued function using Mathematica. as the result of some operation on the variable x defined by f[x_]=... i get a list of numbers {f1,f2,f3,...,fn} each of which depends on the variable x. the bad point is that the fi can not be evaluated one by one. for some chosen value of x i can only calculate the whole list of the fis. now i need to integrate each of the fis over x. of course i could intgrate each list element separately using NIntegrate: Fi=NIntegrate[f[x][[i]],{x,x1,x2}] but since the evaluation of the list f[x] is very time consuming i would like to somehow integrate the whole list at once which is not possible with NIntegrate. did anybody encounter this problem, too? does anybody know a useful package or any solution? thanks. -- Posted via Mailgate.ORG Server - http://www.Mailgate.ORG