Double Integration using ode solvers Options  Email this topic  Watch this topic  Print this topic » Normal Threaded

Previous Topic Next Topic

Razonar		#1 Posted : 04 June 2020 07:40:08(UTC)
Rank: Advanced Member Groups: Registered Joined: 28/08/2014(UTC) Posts: 827 Was thanked: 439 time(s) in 285 post(s)		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.
2 users thanked Razonar for this useful post.		on 04/06/2020(UTC),  on 04/06/2020(UTC)
User Profile View All Posts by User View Thanks

	Wanna join the discussion?! Login to your SMath Studio Forum forum accountor Register a new forum account.

SteelCat		#2 Posted : 07 June 2020 19:21:46(UTC)
Rank: Advanced Member Groups: Registered Joined: 02/05/2020(UTC) Posts: 37 Was thanked: 3 time(s) in 3 post(s)		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)
User Profile View All Posts by User View Thanks

Jean Giraud		#3 Posted : 08 June 2020 01:50:25(UTC)
Rank: Advanced Member Groups: Registered Joined: 04/07/2015(UTC) Posts: 5,679 Was thanked: 854 time(s) in 684 post(s)		Originally Posted by: SteelCat 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).
User Profile View All Posts by User View Thanks

Razonar		#4 Posted : 18 June 2020 02:21:22(UTC)
Rank: Advanced Member Groups: Registered Joined: 28/08/2014(UTC) Posts: 827 Was thanked: 439 time(s) in 285 post(s)		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 ... 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).
2 users thanked Razonar for this useful post.		on 18/06/2020(UTC),  on 18/06/2020(UTC)
User Profile View All Posts by User View Thanks

Jean Giraud		#5 Posted : 18 June 2020 17:26:19(UTC)
Rank: Advanced Member Groups: Registered Joined: 04/07/2015(UTC) Posts: 5,679 Was thanked: 854 time(s) in 684 post(s)		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).
User Profile View All Posts by User View Thanks

Razonar		#6 Posted : 19 June 2020 03:35:42(UTC)
Rank: Advanced Member Groups: Registered Joined: 28/08/2014(UTC) Posts: 827 Was thanked: 439 time(s) in 285 post(s)		Originally Posted by: Jean Giraud 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
2 users thanked Razonar for this useful post.		on 19/06/2020(UTC),  on 19/06/2020(UTC)
User Profile View All Posts by User View Thanks

Jean Giraud		#7 Posted : 20 June 2020 13:39:28(UTC)
Rank: Advanced Member Groups: Registered Joined: 04/07/2015(UTC) Posts: 5,679 Was thanked: 854 time(s) in 684 post(s)		Originally Posted by: Razonar Hi Jean. Yes, can copy and paste. Thanks, Amigo !
User Profile View All Posts by User View Thanks

Users browsing this topic