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#1 2014-03-23 04:24:35

ammar
Member
Registered: 2013-12-16
Posts: 69

triple numerical integration

HI
I need any information or book about (triple numerical integration)

sad:(

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#2 2014-03-23 05:22:56

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: triple numerical integration

Numerical integration for more than one dimension is more difficult. Do you have a problem to show?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2014-03-23 05:30:46

ammar
Member
Registered: 2013-12-16
Posts: 69

Re: triple numerical integration

No I need at least one example , I don't have any information about it

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#4 2014-03-23 05:45:16

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: triple numerical integration

I will try to get one for you. It will take some time.

http://utkstair.org/clausius/docs/che50 … -Dints.pdf

Formula 2.9 shows in a difficult way how to derive the trapezoidal rule for a triple integral.

There is also Monte Carlo integration which is sometimes used.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2014-03-23 07:04:07

ammar
Member
Registered: 2013-12-16
Posts: 69

Re: triple numerical integration

OK thanks I'll try with this

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#6 2014-03-23 07:22:00

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: triple numerical integration

Hi;

Keep in mind that these are closer to algorithmic techniques and as such are best done by computers.

There are many problems associated with using formulas for numerical cubature as it is called. For one thing, the convergence can be very slow and the function evaluations costly.

Let me know how you do.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#7 2014-03-24 00:19:11

ammar
Member
Registered: 2013-12-16
Posts: 69

Re: triple numerical integration

I need example to verify this formula and I'll try to solve it by matlab and by steps

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#8 2014-03-24 03:27:23

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: triple numerical integration

Hi;

Can I see your formula?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#9 2014-03-24 03:59:57

ammar
Member
Registered: 2013-12-16
Posts: 69

Re: triple numerical integration

I mean the formula 2.9 , in triple I don't know how I deal with slice of dz ,

I think we try the inside double integration at each slice of dz

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#10 2014-03-24 04:05:05

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: triple numerical integration

Maybe it would be easier to use Monte Carlo on a triple?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#11 2014-03-24 04:19:35

ammar
Member
Registered: 2013-12-16
Posts: 69

Re: triple numerical integration

Please if you find an example about triple numerical ,I'll use matlab it's easier

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#12 2014-03-24 04:25:13

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: triple numerical integration

There are matlab commands to do it.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#13 2014-03-31 03:32:39

ammar
Member
Registered: 2013-12-16
Posts: 69

Re: triple numerical integration

HI again ,
Can you find triple numerical integration by surface not by line ?

I searched about it but I don't know the method of the subject

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#14 2014-03-31 03:44:19

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: triple numerical integration

I do not know the answer to that.

If you know how to use Matlab on it then try this example:

It is easy to do analytically and will make a good test for you.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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