Re: Complex integration

• To: mathgroup at smc.vnet.net
• Subject: [mg55822] Re: [mg55807] Complex integration
• From: DrBob <drbob at bigfoot.com>
• Date: Thu, 7 Apr 2005 05:10:01 -0400 (EDT)
• References: <200504060807.EAA28596@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```I don't get recursion errors (version 5.1.1) but I do get a MathKernel Application Error that says:

The instruction at "0x644a8e50" referenced memory at "0x00004000". The memory could not be "read".

It's very reliable, too... Every time I evaluate the definitions of ETL, EPer, EPerCC, parameter, AmplTL in one cell, and then AmpPer in another, I get that Application error, and the Kernel shuts down.

That's a nasty bug!

Bobby

On Wed, 6 Apr 2005 04:07:44 -0400 (EDT), Bernhard von Vacano <vacano at gmx.de> wrote:

> Dear Group,
>
> I am experiencing problems with a Mathematica simulation I am trying to
> perform.
>
> The first part of my notebook evaluates without any problems:
>
>
> ETL[w_] := Exp[-(w - w0)^2/width^2*2 Log[2]]
>
> EPer[w_] := ETL[w]* Exp[I Pi Cos[2 Pi w/Wm]]
> EPerCC[w_] := ETL[w]* Exp[-I Pi Cos[2 Pi w/Wm]]
>
> parameter := {w0 -> 12500, width -> 250, Wm -> 128}
>
> AmpTL[W_] = Integrate[ETL[w]ETL[w + W] /. parameter, {w, 10000, 20000}]
>
>
> This is the first expression I need for plotting (in the Range of W =
> 0..1000), and gives the correct results.
> With my so far limited mathematica skills, I could not get the following
> modified expression to be evaluated:
>
> AmpPer[W_] = Integrate[EPerCC[w]EPer[w + W] /. parameter, {w, 10000, 20000}]
>
> Like this, it only produces "\$RecursionLimit::reclim: "Recursion depth of
> 256 exceeded." und "\$IterationLimit::itlim: Iteration limit of 4096
> exceeded."
>
> I have tried other limits for the integration, indefinite integration and
> NIntegrate, but so far it did not work. (At the moment, I am using
> Mathematica 4).
>
> Could anybody help me with this? I don't really know which parameters to use
> or how to restate the problem to get it working. It doesn't seem too hard to
> compute, does it?
>
>
> Thank you very much in advance,
>
> Yours
> Bernhard
>
>
>
>
>

--
DrBob at bigfoot.com

```

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