Re: Reasonable integration speed? (24 hrs and counting)
- To: mathgroup at smc.vnet.net
- Subject: [mg68030] Re: Reasonable integration speed? (24 hrs and counting)
- From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
- Date: Fri, 21 Jul 2006 05:37:15 -0400 (EDT)
- Organization: Uni Leipzig
- References: <e9nkvm$9vo$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi, ave you considered the possibility, that your "complex integral" does not have a analytical solution? Regards Jens "axlq" <axlq at spamcop.net> schrieb im Newsbeitrag news:e9nkvm$9vo$1 at smc.vnet.net... |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 |