Integrate memory usage in 1.2 vs. 2.x

*To*: mathgroup at yoda.physics.unc.edu*Subject*: Integrate memory usage in 1.2 vs. 2.x*From*: Erik Sowa <sowa at amdew.llnl.gov>*Date*: Tue, 12 Oct 93 15:22:39 -0700

I have a piece of mma code that runs just fine under version 1.2 but runs out of memory on version 2.x. Specifically, it works under 1.2 on a Decstation. It dies with "Out of memory. Exiting." under 2.x whether it is run from a front end or from a shell. I have tried it under 2.0 on a Decstation and under 2.2 on an IBM RS600 with 256M (!!!) of memory. Can anyone suggest why this might be? Is there some memory management mumbo-jumbo to perform under 2.x, or have the integration routines become more memory intensive, or is it something else? Any help would be appreciated. The code in question: Needs["Utilities`ShowTime`"]; Ylm[l_Integer,m_Integer] := SphericalHarmonicY[l,m,theta,phi] //. {E^(Complex[0,n_]*phi) -> ((x+I y)/Sqrt[x^2+y^2])^n, Cos[theta] -> z/Sqrt[x^2+y^2+z^2], Sin[theta] -> Sqrt[x^2+y^2]/Sqrt[x^2+y^2+z^2]} QlmKernel[l_Integer,m_Integer] := (x^2+y^2+z^2)^(l/2) * Ylm[l,m] Qlm[l_Integer,m_Integer] := Integrate[QlmKernel[l,m], {x,-1/2,1/2},{y,-1/2,1/2},{z,-1/2,1/2}] Table[{ll,mm,Qlm[ll,mm]}, {ll,62,62,2},{mm,0,ll,4}] (Obviously I want to run the loop over more than just ll=62 but that case is sufficient to demonstrate the problem.) -- erik sowa (sowa at amdew.llnl.gov)