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4/6-dimensionl numerical integration? [message #32459] Tue, 08 October 2002 03:20 Go to next message
Arne Gennerich is currently offline  Arne Gennerich
Messages: 3
Registered: October 2002
Junior Member
Hi Folks!

Who can provide me IDL-functions which can calculate 4- and
6-dimensional numerical integrals?

Best
Arne

--
------------------------------------------------------------ -----------
Arne Gennerich Tel: +49 551 39-12203
Physiologisches Institut Fax: +49 551
39-8399
Abteilung Molekulare Neurophysiologie
Universit�t G�ttingen
Humboldtallee 23
37073 G�ttingen mailto:
agenner@gwdg.de
Germany
http://www.UKMN/
------------------------------------------------------------ -----------
Re: 4/6-dimensionl numerical integration? [message #32493 is a reply to message #32459] Fri, 11 October 2002 11:48 Go to previous message
Craig Markwardt is currently offline  Craig Markwardt
Messages: 1869
Registered: November 1996
Senior Member
Arne Gennerich <agenner@gwdg.de> writes:
> Craig Markwardt wrote:
>
>> Arne Gennerich <agenner@gwdg.de> writes:
>>> Hi Folks!
>>>
>>> Who can provide me IDL-functions which can calculate 4- and
>>> 6-dimensional numerical integrals?
>>
>> Probably you will have to provide it for yourself. I have wanted to
>> make an extension to my QUADPACK integrator to support
>> multi-dimensional integrals, but haven't gotten around to it yet. If
>> your integration hypervolume is rectangular then it is pretty trivial.
>> However, when you get to high enough dimensions, you probably want to
>> use Monte Carlo, no?
>>
>> Craig
>>
>
> Thanks Craig for your answer! Probably the Monte Carlo Integration is a good
> suggestion. Is the random number generator RANDOMN usefull for this approach?
> Any experience?

I am satisfied with RANDOMN and RANDOMU, but I have not subjected it
to the torture tests that statisticians would. There have been
problems with non-randomness in those routines in the past.

Craig

--
------------------------------------------------------------ --------------
Craig B. Markwardt, Ph.D. EMAIL: craigmnet@cow.physics.wisc.edu
Astrophysics, IDL, Finance, Derivatives | Remove "net" for better response
------------------------------------------------------------ --------------
Re: 4/6-dimensionl numerical integration? [message #32498 is a reply to message #32459] Fri, 11 October 2002 10:04 Go to previous message
Arne Gennerich is currently offline  Arne Gennerich
Messages: 3
Registered: October 2002
Junior Member
Craig Markwardt wrote:

> Arne Gennerich <agenner@gwdg.de> writes:
>> Hi Folks!
>>
>> Who can provide me IDL-functions which can calculate 4- and
>> 6-dimensional numerical integrals?
>
> Probably you will have to provide it for yourself. I have wanted to
> make an extension to my QUADPACK integrator to support
> multi-dimensional integrals, but haven't gotten around to it yet. If
> your integration hypervolume is rectangular then it is pretty trivial.
> However, when you get to high enough dimensions, you probably want to
> use Monte Carlo, no?
>
> Craig
>

Thanks Craig for your answer! Probably the Monte Carlo Integration is a good
suggestion. Is the random number generator RANDOMN usefull for this approach?
Any experience?

Best
Arne

--
------------------------------------------------------------ -----------
Dipl.-Phys. Dipl.-Ing. Arne Gennerich Tel: +49 551 39-12203
Physiologisches Institut Fax: +49 551
39-8399
Abteilung Molekulare Neurophysiologie
Universit�t G�ttingen
Humboldtallee 23
37073 G�ttingen mailto:
agenner@gwdg.de
Germany http://www.UKMN/
------------------------------------------------------------ -----------
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