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

DoubleIntegralRK.sm (42,67 KiB) descargado 1444 vez(es).
DoubleIntegralRK.pdf (219,12 KiB) descargado 1011 vez(es).

Best regards.
Alvaro.

Thanks Alvaro for your example.

Can the change of variable be put in the procedure definition?

Wrote

Can the change of variable be put in the procedure definition,?

Like this: yes, just opposite plot.

Double Switch [x, L].sm (6,33 KiB) descargado 1160 vez(es).

Hi. This is the double integral using Gauss Legendre quadrature.

GaussLegendreQuadrature.sm (60,58 KiB) descargado 1443 vez(es).
GaussLegendreQuadrature.pdf (160,77 KiB) descargado 1018 vez(es).

Best regards.
Alvaro.

Wrote

...
Can the change of variable be put in the procedure definition?

Yes.

DoubleIntegralSteelCat.sm (47,08 KiB) descargado 1411 vez(es).
DoubleIntegralSteelCat.pdf (105,49 KiB) descargado 834 vez(es).

Keisan has longer Legendre than 64, but couldn't copy/paste ?
From other source: 63, 64.

Integrate Legendre [ Wr 24 ].sm (28,98 KiB) descargado 1189 vez(es).

Wrote

Keisan has longer Legendre than 64, but couldn't copy/paste ?
From other source: 63, 64.

Integrate Legendre [ Wr 24 ].sm (28,98 KiB) descargado 1189 vez(es).

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 (25,63 KiB) descargado 1379 vez(es).
DoubleIntegralJean.pdf (45,11 KiB) descargado 929 vez(es).

Best regards.
Alvaro

Wrote

Hi Jean. Yes, can copy and paste.

Thanks, Amigo !