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Re: Reasonable integration speed? (24 hrs and counting)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg68036] Re: Reasonable integration speed? (24 hrs and counting)
  • From: axlq at spamcop.net (axlq)
  • Date: Fri, 21 Jul 2006 05:37:25 -0400 (EDT)
  • Organization: "a2i network"
  • References: <e9nkvm$9vo$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Update: Going on 48 hours now.  I'm concerned that something is
hung, but I fear aborting the job if there's any chance it may
actually be progressing to a solution.  I'm unfamiliar with what I
can expect in terms of Mathematica's speed of solving an integral.
Is this reasonable?  Is there a setting somewhere that shows some
sort of progress indicator?

-Alex

In article <e9nkvm$9vo$1 at smc.vnet.net>, axlq <axlq at spamcop.net> wrote:
>I downloaded the trial version of Mathematica to see if it could
>solve a complex integral. After getting comfortable with solving
>simple integrals, I input my target problem:
>
>In[1]:= f[x] = Sqrt[a^2+(q-x)^2]
>
>In[2]:= Integrate[Cos[(2*n + 1)*Pi*x/d]*
>  (Exp[-I*k*f[x]]/(4*Pi*f[x]^5)*((1 + I*k*f[x])*(2*f[x]^2 - 3*a^2)
>    + (k*a*f[x])^2) * I*d/(2*Pi* w) + p), {x, -d/2, d/2}]
>
>Observations:
>
>1. It's been sitting there for over 24 hours now.
>
>2. Task Manager shows Mathematica's CPU usage at a constant 50%.
>
>3. The "Kernel" pull-down menu has "Interrupt Evaluation" grayed out.
>   I can abort it.
>
>4. Mathematica won't solve any subsequent problem in another window
>   (seems like the first one is occupying a queue).
>
>Earlier I tested some simple function-reference integrals (e.g.
>defining f[x] first and then integrating f[x]dx) and they worked.
>
>What sort of speed can I expect from this?  Is 24 hours too long to
>solve a problem like this on a 2.6 GHz Windows XP platform with 1.25
>GB RAM?  Is Mathematica hung up on something?  Is the fact that I'm
>using the trial version make any difference?  Did I do something
>wrong?
>
>Thanks.
>-Alex


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