Speed of Symbolic Integration

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Christopher Kube
Christopher Kube 2013-10-16
评论： Christopher Kube 2013-10-31
Hi, I have a long expression composed of sines and cosines of three variables. The expression needs to be volume averaged using a symbolic triple integral. I need to use symbolic in order to get exact solutions.
I've attached an example expression needed to be integrated. All variables are symbolic.
I need to perform the volume integral of this expression. Ordinarily, I assign this symbolic expression to variable II and operate successive "int" commands...
int(int(int(II.*sin(THETA),THETA,0,pi),PHI,0,2*pi),ZETA,0,2*pi)
This procedure takes more than 20 hours to run on my computer. I am using 32 GB memory with an 8-core i7 processor. The CPU utilization is around 20% at 3.27 GHz.
Perhaps there is away to partition the sum? Any other suggestions would be appreciated.
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Christopher Kube
Christopher Kube 2013-10-16
Yes, all variables are real.
Christopher Kube
Christopher Kube 2013-10-31
Does anyone have any suggestions? I am currently using Matlab2013b.

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