1 Pages (7 items)
Double Integration using ode solvers - Messages
#1 Posted: 6/4/2020 1:40:08 AM
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) downloaded 487 time(s).
DoubleIntegralRK.pdf (219.12 KiB) downloaded 391 time(s).
Best regards.
Alvaro.
DoubleIntegralRK.sm (42.67 KiB) downloaded 487 time(s).
DoubleIntegralRK.pdf (219.12 KiB) downloaded 391 time(s).
Best regards.
Alvaro.
#2 Posted: 6/7/2020 1:21:46 PM
Thanks Alvaro for your example.
Can the change of variable be put in the procedure definition?
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)
#3 Posted: 6/7/2020 7:50:25 PM
WroteCan the change of variable be put in the procedure definition,?
Like this: yes, just opposite plot.
Double Switch [x, L].sm (6.33 KiB) downloaded 345 time(s).
#4 Posted: 6/17/2020 8:21:22 PM
Hi. This is the double integral using Gauss Legendre quadrature.
GaussLegendreQuadrature.sm (60.58 KiB) downloaded 438 time(s).
GaussLegendreQuadrature.pdf (160.77 KiB) downloaded 333 time(s).
Best regards.
Alvaro.
Yes.
DoubleIntegralSteelCat.sm (47.08 KiB) downloaded 413 time(s).
DoubleIntegralSteelCat.pdf (105.49 KiB) downloaded 290 time(s).
GaussLegendreQuadrature.sm (60.58 KiB) downloaded 438 time(s).
GaussLegendreQuadrature.pdf (160.77 KiB) downloaded 333 time(s).
Best regards.
Alvaro.
Wrote...
Can the change of variable be put in the procedure definition?
Yes.
DoubleIntegralSteelCat.sm (47.08 KiB) downloaded 413 time(s).
DoubleIntegralSteelCat.pdf (105.49 KiB) downloaded 290 time(s).
#5 Posted: 6/18/2020 11:26:19 AM
Keisan has longer Legendre than 64, but couldn't copy/paste ?
From other source: 63, 64.
Integrate Legendre [ Wr 24 ].sm (28.98 KiB) downloaded 370 time(s).
From other source: 63, 64.
Integrate Legendre [ Wr 24 ].sm (28.98 KiB) downloaded 370 time(s).
#6 Posted: 6/18/2020 9:35:42 PM
WroteKeisan has longer Legendre than 64, but couldn't copy/paste ?
From other source: 63, 64.
Integrate Legendre [ Wr 24 ].sm (28.98 KiB) downloaded 370 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 (25.63 KiB) downloaded 414 time(s).
DoubleIntegralJean.pdf (45.11 KiB) downloaded 315 time(s).
Best regards.
Alvaro
#7 Posted: 6/20/2020 7:39:28 AM
WroteHi Jean. Yes, can copy and paste.
Thanks, Amigo !
1 Pages (7 items)
- New Posts
- No New Posts