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Offline Razonar  
#1 Posted : 04 June 2020 07:40:08(UTC)
Razonar


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Hi. This worksheet shows how to use an ode solver for evaluating a double integral over the region between two functions.

DoubleIntegralRK.sm (43kb) downloaded 62 time(s).
DoubleIntegralRK.pdf (220kb) downloaded 69 time(s).

Best regards.
Alvaro.
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Offline SteelCat  
#2 Posted : 07 June 2020 19:21:46(UTC)
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Thanks Alvaro for your example.

Can the change of variable be put in the procedure definition?
Physics is like sex. Sure, it may give some practical results, but that’s not why we do it. (R. Feynman)
Offline Jean Giraud  
#3 Posted : 08 June 2020 01:50:25(UTC)
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Originally Posted by: SteelCat Go to Quoted Post
Can the change of variable be put in the procedure definition,?

Like this: yes, just opposite plot.

Double Switch [x, L].sm (7kb) downloaded 29 time(s).

Offline Razonar  
#4 Posted : 18 June 2020 02:21:22(UTC)
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Hi. This is the double integral using Gauss Legendre quadrature.

GaussLegendreQuadrature.sm (61kb) downloaded 32 time(s).
GaussLegendreQuadrature.pdf (161kb) downloaded 27 time(s).

Best regards.
Alvaro.

Originally Posted by: SteelCat Go to Quoted Post
...
Can the change of variable be put in the procedure definition?


Yes.

DoubleIntegralSteelCat.sm (48kb) downloaded 34 time(s).
DoubleIntegralSteelCat.pdf (106kb) downloaded 22 time(s).
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Offline Jean Giraud  
#5 Posted : 18 June 2020 17:26:19(UTC)
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Keisan has longer Legendre than 64, but couldn't copy/paste ?
From other source: 63, 64.

Integrate Legendre [ Wr 24 ].sm (29kb) downloaded 31 time(s).
Offline Razonar  
#6 Posted : 19 June 2020 03:35:42(UTC)
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Originally Posted by: Jean Giraud Go to Quoted Post
Keisan has longer Legendre than 64, but couldn't copy/paste ?
From other source: 63, 64.

Integrate Legendre [ Wr 24 ].sm (29kb) downloaded 31 time(s).


Hi Jean. Yes, can copy and paste. Do that first into excel, and from there to the small SMathMatrixEditor and finally paste in SMath.

In the attached Laguerre and Legendre coeffs for the Gauss method.

DoubleIntegralJean.sm (26kb) downloaded 34 time(s).
DoubleIntegralJean.pdf (46kb) downloaded 33 time(s).

Best regards.
Alvaro
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Offline Jean Giraud  
#7 Posted : 20 June 2020 13:39:28(UTC)
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Originally Posted by: Razonar Go to Quoted Post
Hi Jean. Yes, can copy and paste.

Thanks, Amigo !
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