Reasonable integration speed? (24 hrs and counting)
- To: mathgroup at smc.vnet.net
- Subject: [mg67980] Reasonable integration speed? (24 hrs and counting)
- From: axlq at spamcop.net (axlq)
- Date: Thu, 20 Jul 2006 06:04:13 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
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